In tro duc tionTo answer Data Sufficiency question, we do not actually have to calculate the values. We only have to

determine whether the data given in the statements are sufficient for finding the answer.There are various variations in Data Sufficiency problemsl Options may be jumbled.l One or two options may be of new type, while remaining are same.l There may be three or four statements following a question.

Directions For Solving Data Suf fi ciency Ques tionsOp tion (a), If state ment (1) by it self is suf fi cient to an swer the ques tion, but state ment (2) by it self is not.Op tion (b), If state ment (2) by it self is suf fi cient to an swer the ques tion, but state ment (1) by it self is not.Op tion (c), If state ments (1) and (2) taken to gether are suf fi cient to an swer the ques tion, even though

nei ther state ment by it self is suf fi cient.Op tion (d), Both the state ments to gether are not suf fi cient.To attempt a question of Data Sufficiency, we should follow a systematic approach. A good way is to use a

flow chart.

First check statement (1)

Is it sufficient?Either (b) or (c) or (d) is thecorrect answer

Answer is (a)Yes No

Now, check the statement (2)

Is it sufficient ?

No

Answer is (b)Yes

Check both the statements together

Are both the statements together

sufficient?

Answer is (c)

Answer is (d)

No

Yes

Data Sufficiency

Part I : Data Sufficiency

Di rec tion (1 to 4) Each of the ques tions be low con sists of a ques tion and twostate ments num bered I and II given be low it. You have to de cide whether the data pro videdin the state ments are suf fi cient to an swer the ques tion. Read both the state ments and givethe an swer.

(a) Statement I alone is sufficient, but statement II alone is not sufficient(b) Statement II alone is sufficient, but statement I alone is not sufficient(c) Both statements together are sufficient(d) Both statements together are insufficient

Illustration 1 A train cross an other train run ning in the op po site di rec tion in x sec ond.

What is the speed of the train?

I. Both the trains have the same length and are running at the same speed.II. One train crosses a pole in 5 s.

Solution. (d) When the trains are run ning in op po site di rec tion, time taken to cross each other

=+

+

L L

S S

1 2

1 2

Where,

L1 = Length of I train

S1 = Speed of I train

L 2 = Length of II train

S2 = Speed of II train

I. L L L1 2= = (let)

S S S1 2= = (let)

Þ 22

SL

x= Þ S

L

x=

II. SL

=5

We can’t find the value of S even with the help of both state ments.

Illustration 2 50% of the peo ple in a Steeltown have blue eyes and blond hair. What per

cent of the peo ple in Steeltown have blue eyes but do not have blond hair?

I. 70% of the people in Steeltown have blond hair.II. 60% of the people in Steeltown have blue eyes.

Solution. (b)

A = People having only blue eyes

C = People having only blond hair

B = People having blue eyes and blond hair

and B = 50%

I. B C+ = 70% II. A B+ = 60%

We have to find ‘A’

\ Statement II alone is sufficient.

Illustration 3 What is the area of 1 m wide path way con structed around all the sides of

a rect an gu lar field?

I. Area of the field and the path together is 187 sq cm.

II. Breadth and the length of the field are in the ratio of 3 : 5 respectively.

4 Analytical Ability : Data Sufficiency

A B C

Solution. (c)

I. ( ) ( )a b+ + =2 2 187 II.b

a=

3

5

With the help of both statements, we can calculate ‘b’.

Illustration 4 What was the to tal com pound in ter est on a sum af ter three years?

I. The interest after one year was ` 100 and the sum was ` 1000.II. The difference between simple and compound interests on a sum at the end of two years

was ` 10.

Solution. (a)

I. Interest and sum are given and I Pr

P= +æ

èç

ö

ø÷ -1

100 Þ r can be cal cu lated.

CI after three years can be found.

Hence, statement I alone is sufficient to answer the question.

II. Since, difference between SI and CI = ´æ

èç

ö

ø÷P

r

100

2

Since, the value of P is not known so r cannot be calculated.

Hence, CI after three years can be found.

Hence, statement II also alone is not sufficient to answer the question.

Di rec tion The fol low ing ques tion is ac com pa nied by three state ments I, II and III. Youhave to de ter mine which state ment(s) is/are suf fi cient/nec es sary to an swer the ques tion.Read the state ments and give the an swer.

Illustration 5 What is R’s share of profit in a joint ven ture?

I. Q started a business investing ` 80000.II. R joined him af ter 3 months.

III. P joined af ter 4 months with a cap i tal of ` 120000 and got ` 6000 as his share of profit.(a) I and III are sufficient(b) II and III are suf fi cient(c) All I, II and III together are necessary(d) Even with all I, II and III, the answer cannot be arrived at

Solution. (d) Amount in vested by R is not given. There fore, ques tion can not be an swered evenwith the help of all I, II and III.

Di rec tion The fol low ing ques tion is ac com pa nied by three state ments I, II and III. Youhave to de ter mine which state ment(s) is/are suf fi cient/nec es sary to an swer the ques tion.Read the state ments and give the an swer.

Illustration 6 In how many days can a work be com pleted by A and B to gether?

I. A alone can com plete the work in 8 days.II. If A alone works for 5 days and B alone works for 6 days, the work get com pleted.

III. B alone can com plete the work in 16 days.(a) Any two of three statements are sufficient (b) II and either I or III are sufficient(c) I and II are sufficient (d) II and III are sufficientSolution. (a)

I. Work done by A in one day =1

8th part of whole work.

II. Work done by A in 5 days =5

8th part of the whole work.

Andhra ICET MBA—Complete Success Package 5

a

b

1

I

Remaining work = - =15

8

3

8th part of whole work, which is done by B in 6 days.

\ Work done by B in one day = ´ =3

8

1

6

1

16th part of whole work.

III. Work done by B in one day =1

16 th part of whole work.

Hence, by combining any two of the three, the required number of days can be determined.

Di rec tion The fol low ing ques tion is ac com pa nied by three state ments I, II and III. Youhave to de ter mine which state ment(s) is/are suf fi ciently nec es sary to an swer the ques tion.Read the state ments and give the an swer.

Illustration 7 What is the sum of two numbers?

I. The bigger of these two numbers is 6 more than the smaller number.II. 40% of the smaller number is equal to 30% of the bigger number.

III. The ratio between half of the bigger number and one-third of the smaller number is 2 : 1.(a) II and III are sufficient(b) I and II are sufficient(c) I and either II or III is sufficient(d) All, I, II and III together are sufficient

Solution. (c) Let the smaller num ber is x and big ger num ber is y.I. y x= + 6 …(i)

II. 04 03. .x y= Þ x

y=

3

4 …(ii)

III.y

x

/

/

2

3

2

1= Þ

y

x=

4

3 Þ

x

y=

3

4 …(iii)

Obviously, question can be solved by using I and either II or III because equations (ii) and (iii) aresame.

Di rec tion The fol low ing ques tion is ac com pa nied by three state ments I, II and III. Youhave to de ter mine which state ment(s) is/are suf fi ciently nec es sary to an swer the ques tion.Read the state ments and give the an swer.

Illustration 8 How many ar ti cles were sold?

I. Total profit earned was ` 1596. II. Cost price per article was ` 632.III. Selling price per article was ` 765.(a) II and III are sufficient(b) I and II are sufficient(c) All I, II and III together are necessary(d) Even with all I, II and III, the answer cannot be arrived at.

Solution. (c) Let num ber of ar ti cles = NII. Total CP = 632 N III. Total SP = 765 NI. N ( )765 632 1596- =

Hence, number of articles can be determined by using all the three statements I, II and III together.

Di rec tions (9 to 25) Each of the ques tions be low con sists of a ques tion and twostate ments num bered I and II given be low it. You have to de cide whether the data pro videdin the state ments are suf fi cient to an swer the ques tion. Read both the state ments and givethe an swer.

(a) If the data in statement I alone are sufficient to answer the question, while the data instatement II alone are not sufficient to answer the question

(b) If the data in statement II alone are sufficient to answer the question, while the date instatement I alone are not sufficient to answer the question

(c) If the data in both statements I and II together are necessary to answer the question(d) Both the statements together are not sufficient

6 Analytical Ability : Data Sufficiency

Illustration 9 The sum of cubes of three con sec u tive odd num bers is what per cent of the

sum of the squares of the same num bers?

I. The average of those numbers is 21. II. The product of two numbers is 483.

Solution. (a) Let num bers are ( ),x x-2 and ( )x + 2 .

I. ( ) ( )x x x- + + + = ´2 2 3 21

Hence, we can find value of x.

Then, question can be solved using statement I alone.

II. Since, only the product of two numbers is given.

So, question cannot be solved using statement II alone.

Illustration 10 What is the speed of a boat?

I. The boat covers a distance of 48 km in 6 h while running upstream.II. It covers the same distance in 4 h while running downstream.

Solution. (c) Let the speed of boat = vb km/h and the speed of stream = vs km/h

I. v vb s- = 48 6/ Þ v vb s- = 8 …(i) II. v vb s+ = 48 4/ Þ v vb s+ = 12 …(ii)

On solving Eqs. (i) and (ii), we can determine the value of vb.

Hence, both the statements together are necessary to answer the question.

Illustration 11 What is the num ber x ?

I. The LCM of x and 18 is 36. II. The HCF of x and 18 is 2.

Solution. (c) Q Prod uct of two num bers = Their HCF LCM´

\ Both the statements together are necessary to answer the question.

Illustration 12 Is the fig ure ABCD a rect an gle?

I. P = °90 II. AB CD=

Solution. (d)

I. P = °90 II. AB CD=

Since, we have no idea about other angles and lengths of sides AD and BC. There fore, noth ing canbe said about ABCD. Hence both the state ments to gether are not suf fi cient to an swer the ques tion.

Illustration 13 What is the width of a stone slab of length 4 m and thick ness 1

16th of the

length?

I. Volume of the slab is 2 m3 . II. Slab is 25 cm thick.

Solution. (a) Given l = 4 m

h = ´ =1

164

1

4 m

Let width of slab = b mI. l b h´ ´ = 2

Hence, width of slab can be determined by using I alone.

II. h = 0 25. m =1

4 m

So, question cannot be answered by using II alone.

Andhra ICET MBA—Complete Success Package 7

P°

A

B

D

C

Illustration 14 What is the pres ent age of the mother ?

I. Father’s age is 8 yr more than the mother’s age. Father got married at the age of 28 yr.II. Present age of the father is 30 yr. Four years back the ratio of mother’s age to father’s age

was 12 : 13.

Solution. (b) Let pres ent age of mother = x yrLet present age of father = y yrI. y x= + 8

Hence, from I we can’t determine the present age of mother.

II. y = 30 yr and x -

-=

4

30 4

12

13 .

Þ x -

=4

26

12

13

Hence, present age of mother (x) can be de ter mined by us ing state ment II alone.

Illustration 15 What is the first term of an arith me tic pro gres sion of pos i tive in te gers?

I. Sum of the squares of the first and second term is 116.II. The fifth term is divisible by 7.

Solution. (a) State ment II is use less.Statement I shows that the two integers on squaring add up to 116 112< which means the integersare less than 11. We further find the numbers are 10 and 4.

Illustration 16 Navni is three times as ef fi cient as Avantika. In how many days can

Avantika alone do the whole work?

I. Both of them together can complete the work in 15 days.

II. Navni takes 1

3rd time than Avantika to finish the work.

Solution. (a) Let Navni takes to fin ish the work = x daysThen Avantika takes to finish the work = 3x days

I.1 1

3

1

15x x+ =

Obviously x can be de ter mined.

\ Statement I alone is sufficient to answer the question.

II. Number of days taken by Navni is not given.

Hence, statement II alone is not sufficient to answer the question.

Illustration 17 There are 450 boxes to load on a truck. A and B work ing in de pend ently

but at the same time take 30 min to load the truck. How long should it take B work ing by

him self to load the truck?

I. A and C can load 400 boxes in 20 min.II. A would take 45 min by him self.

Solution. (b) Let B alone do the whole work in x min .

\ In 1 min, work done by Bx

=1

th part of whole work.

\ In 30 min, work done by Bx

=30

th part of whole work.

I. Statement I alone is not sufficient.II. In 45 min, work done by A = 1

\ In 30 min, work done by A =30

45th part of whole work =

2

3rd part of whole work

Now, 2

3

301+ =

x

Hence, statement II alone is sufficient to answer the question.

8 Analytical Ability : Data Sufficiency

Illustration 18 What is the rate of in ter est per cent per annum ?

I. Difference between compound interest and simple interest on an amount for two years is` 225.

II. The amount doubles itself on simple interest in 62

3 yr.

Solution. (b) Let rate of in ter est = r % per year

I. Difference between SI and CI = ´æ

èç

ö

ø÷P

r

100

2

Hence, r cannot be de ter mined by us ing state ment I alone because P is not given.

II. SI = Amount = P

and SI =´ ´P r t

100

\ r can be de ter mined by us ing state ment II alone.

Illustration 19 Sanju works for 3 days and leaves the job. In how many days, will

Sanju alone fin ish the en tire work?

I. Swamitra finishes the remaining work in 12 days.II. Sanju and Swamitra together can finish the work in 6 days.

Solution. (c) Let whole work is done by Sanju in x days.

\ Work done by Sanju in 3 days =3

xth part of whole work.

Remaining work = - =-

13 3

x

x

x

I. Swamitra’s work in 12 days =-x

x

3

Swamitra’s one day work =-x

x

3

12

II.1 3

12

1

6x

x

x+

-=

Hence, both statements together are sufficient to answer the question.

Illustration 20 What is the area of a cir cu lar re gion X ?

I. Area of the square inscribed in the circular region X is 98 sq cm.II. The perimeter of the circular region X is equal to the per im e ter of square Z.

Solution. (a) We know that area of the square in scribed in the cir cle = 2 2r , where r is the ra dius

of cir cle.I. 2 982r =

r can be de ter mined.

Area of circle can be determined.

II. Perimeter of square is not given.

Hence, area of circle cannot be determined.

Illustration 21 Find the num ber of males and fe males in a party.

I. The ratio of males and females is 3 : 2.II. The number of males is 50% more than the number of females.

Solution. (d) Let num ber of males = M and num ber of fe males = F

I. M

F=

3

2 …(i)

II. M F F= +æ

èç

ö

ø÷ =1

50

100

3

2

Andhra ICET MBA—Complete Success Package 9

Þ M

F=

3

2 … (ii)

Since, equations (i) and (ii) are same.

Therefore, we can’t solve the question even with the help of both statements together.

Illustration 22 What will be the cost of paint ing the four walls and the roof of a roomwith length, width and height as 7 m, 5 m and 2.5 m re spec tively. The room has one doorand two win dows?I. Cost of painting per square metre is ` 72.

II. Area of window is half of the area of the door.

Solution. (d) Since the di men sion of the win dow and door is not given, there fore, ques tion can’tbe solved by us ing both state ments to gether.

Illustration 23 A, B and C are in te gers. Is B an even num ber ?

I. ( )A B+ is an odd number. II. ( )C B+ is an odd number.

Solution. (d)I. A B+ is odd Þ Either A is odd and B is even or A is even and B is odd.

II. C B+ is odd Þ Either C is odd and B is even or C is even and B is odd.

Hence, question can’t be answered even with the help of two statements. Therefore, both statements together are not sufficient to answer the question.

Illustration 24 The towns A, B and C lie on a straight line. C is be tween A and B. The

dis tance from A to B is 100 mile. How far is it from A to C ?

I. The distance from A to B is 25% more than the dis tance from C to B.II. The distance from A to C is less than the dis tance from C to B.

Solution. (a) AB = 100 mile and AC CB+ = 100 mile.

I. AB CB= +æ

èç

ö

ø÷1

25

100

Þ 1005

4= CB Þ CB = 80 mile

II. CB is not given.

Hence, AC cannot be determined.

Illustration 25 Plane X flies at r mile per hour from A to B. Plane Y flies at q mile per

hour from B to A. Both planes take off at the same time. Which plane flies at a faster rate?

Town C is be tween A and B.

I. C is closer to A than it is to B. II. Plane X flies over C be fore plane Y.

Solution. (d) Since we have no ex act idea about dis tance be tween A to C and B to C.Therefore, question can’t be answered even with the help of both statements together.

Di rec tions (26 to 29) The fol low ing ques tions are ac com pa nied by three state ments I, II and III. You have to de ter mine which state ment(s) is/are suf fi cient/nec es sary to an swerthe ques tion. Read the state ments and give the an swer.

Illustration 26 What is the ca pac ity of a cy lin dri cal tank?

I. The radius of the base is half of its height.II. The area of the base is 616 m2.

III. The height of the cylinder is 28 m.(a) I and II (b) II and III(c) All I, II and III (d) Any two of the three

Solution. (d) Ca pac ity of a cy lin dri cal tank = pr h2

Hence, to find the answer, we need either radius of tank or area of the base and height of thecylinder.Therefore, any two of three are sufficient to complete it.

10 Analytical Ability : Data Sufficiency

Illustration 27 In how many days can 10 women fin ish a work ?

I. 10 men can complete the work in 6 days.

II. 10 men and 10 women together can complete the work in 33

7 days.

III. If 10 men work for 3 days and thereafter 10 women replace them, the remaining work iscompleted in 4 days.

(a) I and II (b) Any two of the three(c) I and III (d) II and III

Solution. (b)

I. One day’s work of 10 men =1

6th part of whole work.

II. One day’s work of 10 men and 10 women =7

24th part of the whole work.

III. Let whole work done by 10 men in x days Þ Work done by 10 men in 3 days =3

xth part of the whole

work.

Remaining work = -13

x Þ

x

x

-3

\ In 4 days, work done by 10 women =-x

x

3

\ In 1 day, work done by 10 women =-x

x

3

4

Hence, any two statements are sufficient to answer the question.

Illustration 28 What is the staff strength of Com pany ‘X’ ?

I. Male and female employees are in the ratio of 2 : 3 respectively.II. Of the officer employees 80% are males.

III. Total number of officers is 132.(a) I and III (b) II and either III or I only(c) All I, II and III (d) Question cannot be answered even with the information in all the three statements

Solution. (d) Here, we have no idea of em ploy ees in dif fer ent cat e go ries. There fore, ques tioncan’t be solved even us ing all the state ments to gether.

Illustration 29 What is the monthly sal ary of Pravin?

I. Pravin earns ` 1200 more than Aman.II. The ratio between Aman’s and Vimal’s monthly salaries is 5 : 3.

III. Vimal earns ` 1000 less than Aman.(a) Any two of I, II and III are required(b) I and II are required(c) II and III are required(d) All I, II and III together are required

Solution. (d) Let monthly sal ary of Pravin = ` P and monthly sal ary of Aman = ` A.

I. P A= + 1200 II.A

V=

5

3, where V is monthly sal ary of Vimal.

III. A V= + 1000

Hence, all statements are necessary to answer the question.

Andhra ICET MBA—Complete Success Package 11

A. Model Questions

Di rec tions (Q. Nos. 1 to 87) Each of the ques tions

be low con sists of a ques tion and two state ments num bered

I and II given be low it. You have to de cide whether the

data pro vided in the state ments are suf fi cient to an swer

the ques tion. Read both the state ments and give the

an swer.

(a) Statement I alone is sufficient, but statement II alone is

not sufficient

(b) Statement II alone is sufficient, but statement I alone is

not sufficient

(c) Both statements together are sufficient, but neither

statement alone is sufficient

(d) Statements I and II together are not sufficient.

1. Out of the four teams A, B, C and D which team is not

likely to win as per the opin ion poll ?

I. As per the opinion poll, chances of team C’s win ningare more than that of team A but not as much as thatof team B, whose chances of win ning are more thanthat of team A.

II. As per the opinion poll, team C’s chances of win ningare less than that of team B but not less than that ofteam D, whose chances of win ning are more thanthat of team A.

2. How many em ploy ees of bank ‘X’ opted for VRS?

I. 18% of the 950 officer cadre employees and 6% of the1100 of all other cadre employees opted for VRS.

II. 28% of the employees in the age group of 51 to 56 and17% of the employees in all other age groups optedfor VRS.

3. What is the perimeter of a playground?

I. It is a perfect square playground.II. It costs ` 3200 to put a fence around the playground

at the rate of ` 20 per metre.

4. Who among P, Q, R, S, T and U teaches Bi ol ogy? Each

per son teaches one sub ject amongst Eng lish, Hindi,

Bi ol ogy, His tory, Ge og ra phy and San skrit.

I. P and U do not teach Hindi, Bi ol ogy, His tory or

Ge og ra phy. Q and S do not teach Bi ol ogy or

Ge og ra phy. T does not teaches Ge og ra phy.

II. P and U teach Eng lish and San skrit but not

nec es sar ily re spec tively. Sim i larly, Q and S teach

ei ther Hindi or His tory.

5. What is the to tal num ber of em ploy ees in the com pany

‘X’? There are only two cat e go ries of em ploy ees, ie,

of fi cer’s grade and worse grade.

I. Average income of per employee per month in the

company ‘X’ is ` 1200. Which av er age in come per

em ployee per month be long ing to of fi cer’s grade is

Rs 4600 and that for worse grade is ` 1100.

II. When 600 employees belonging for the category

worse grade of company ‘Y’ and the same num ber of

em ploy ees be long ing to the of fi cer’s grade of

com pany ‘Y’ are added to the strength of the com pany

‘X’ then the new ra tio of worse grade em ploy ees to

of fi cer’s grade be come 37 : 4.

6. What is the value of m n- ¸37?I. m is the larg est pos si ble six-digit num ber and n is the

small est pos si ble six-digit num ber.

II. The difference between m and n is known.

7. Is 11

>x

?

I. 1 > x II. x > 0

8. P and Q worked to gether for 5 days. Then Q left the work and the work was fin ished by P alone in 8 days. Howmany days would Q alone take to fin ish the work if P had left? I. P and Q to gether can do the work in 10 days.

II. P is more efficient than Q.

9. A, B and C are pos i tive in te gers. Is their prod uct an even

num ber?

I. A is an even num ber.

II. Product of B and C is an odd number.

10. By sell ing a prod uct how much profit was earned?

I. 20% profit would have been earned if it had been sold

for ` 90.

II. The profit was one-third of the purchase price.

11. What is the cost of 2 kg of tomatoes?

I. Ten tomatoes weigh 40 kg on the average.

II. 5 kg of tomatoes cost ` 15.

12. How many hours a day must 4 pumps work to empty a

con i cal tank in 1 day?

I. 3 pumps working 8 h a day can empty another tank

in 2 days.

II. The other tank has twice the floor area and one and a

half times the depth of the original tank.

13. By sell ing a prod uct at 20% profit, how much profit wasearned?I. The difference between cost and selling price is ` 40.

II. The selling price is 120% of the cost price.

Practice Exercises

14. How much is the av er age sal ary of the 30 as sem blywork ers?I. The total salary paid to the 30 assembly workers and

the foreman is ` 312000.II. The fore man’s sal ary is 120% of the av er age sal ary of

the 30 as sem bly work ers.

15. A bag con tains coins of one-rupee, 50-paise and 25-paisede nom i na tions. The to tal amount in the bag is ` 500. Tofind the to tal num ber of 50-paise coins, which of thefol low ing in for ma tion is suf fi cient?I. The number of the coins is in the ratio 3 : 4 : 5.

II. The number of one rupee-coins is one-fourth the total number of coins in the bag.

16. Two trains of lengths 80 m and 100 m are mov ing inop po site di rec tions on par al lel tracks. If they cross eachother in 36 s, how much time will they take to pass eachother if they move in the same di rec tion? I. First one train passes a pole in 1 min.

II. The other train also passes a railway bridge in 1 min.

17. Kundu and Puttu can do a work in 12 days. In how many days will Puttu com plete the work work ing alone?I. Kundu can complete the work in 36 days.

II. Kundu and Ramu can do the same work in 10 days.

18. In the di a gram shown, is D ABC isos ce les?

I. BC BD DA= = II. BD bi sects ÐABC.

19. The speed of a 110 m long run ning train ‘X’ is 45 per centmore than the speed of an other 160 m long train ‘Z’run ning in op po site di rec tion. What is the speed of thetrain ‘Z’ ?I. The two trains crossed each other in 6.5 s.

II. Train ‘X’ crosses a platform in 5 s.

20. Is quadrilateral Q a square? I. The sides of Q have the same length.

II. The diagonals of Q have the same length.

21. What is the per cent age of fam i lies in the city havetele phones?I. 50% of the families of the city have televisions.

II. 30% of the television owners of the city havetelephones.

22. If the per im e ter of the D ABC is 3 3+ , then what isits area?

I. Side AC ¹ Side AB II. Ð = °ABC 30

23. How many choc o lates can Sheena buy if she has to spend

20% of her bud get on veg e ta ble and 30% on gro cer ies?

I. Sheena has ` 50 with her.

II. Each chocolate costs 50 paise.

24. How many litres of a chem i cal can be stored in a

cy lin dri cal tank if the ra dius of the tank is 5 m?

I. The height of the tank is 5 m.

II. The temperature is 70°F.

25. In D ABC, find r if AB = 5 and q = °40 .

I. BC = 5

II. r p>

26. What was Mr Anand, com bined in come for the years

2003-08? In 2003, he made ` 1000000.

I. His average yearly income for the years 2003-08 was

` 1200000.

II. In 2008, his income was ` 2000000.

27. A cer tain book shop sold 92 cop ies of Bill Gate’s book

‘Busi ness at the speed of thought’ dur ing the first day.

What per cent age of his stock of this book did he sell on

that day?

I. The total number of books with this title on stock

is 230.

II. There are a total of 1000 books in his store.

28. What sell ing price should be marked on the ar ti cle?

I. Discount of 5% is to be given and profit percentage

should be double the discount. Purchase cost is in the

range of ` 300-` 400.

II. 10% discount is to be allowed and 15% profit is to be

obtained on the purchase cost of ` 200 of the article.

29. At pres ent, how many vil lag ers are vot ers in vil lage ‘X’?

I. There were 860 voters in village ‘X’ in the list

pre pared for the last elec tion.

II. The present list of village ‘X’ has 15% more vot ers

than the list for the last elec tion.

30. “You must sub mit your ap pli ca tion within 10 days from

the date of re lease of this ad ver tise ment.” What is the

ex act date be fore which the ap pli ca tion must be

sub mit ted?

I. The advertisement was released on 18th February.

II. It was a leap year.

31. What is Sunil’s po si tion in a row of forty stu dents?

I. There are sixteen students towards the left of Sunil.

II. There are twenty-eight students towards the right of

Atul who is in the left of Sunil.

32. A per son bought 2 kg of rice from a shop. But when heen tered the next shop he found that the price was less.He cal cu lated that if he bought 6 kg from that shop his

Andhra ICET MBA—Complete Success Package 13

B C

A

D

A C

B

A C

B

p° q°

r°

av er age price would be ` 20. Then what is the price inthe first shop?I. The price in the second shop was `18 per kg.

II. He bought 8 kg of rice from second shop.

33. A fly crawls around the out side of a cir cle once. A sec ondfly crawls around the out side of a square once. Which flytrav els far ther?I. The diagonal of the square is equal to the diameter of

the circle.II. The fly crawling around the circle takes more time to

complete his journey than the fly crawling aroundthe square.

34.. Is the num ber M

3 an odd in te ger? (You may as sume that

M

3 is an in te ger)

I. M K= 3 , where K is an in te ger.II. M J= +6 3, where J is an in te ger.

35. A worker is hired for 6 days. He is paid ̀ 5 more for eachday of work than he was paid for the pre ced ing day. How much was he paid for the first day of the work?I. His total wages for 6 days were ` 900.

II. He was paid less than ` 100 on the first day.

36. How much card board will it take to make an open boxwith no top?I. The area of the bottom of the box is 4 m2.

II. The box is in cubical shape.

37. How much min i mum marks will be re quired to pass anex am i na tion?I. Student A se cured 32% marks in that ex am i na tion

and he failed by 1 mark.II. Student A se cured 30% of full marks in the

ex am i na tion and he failed by 2 marks. If he hadse cured 5 more marks his per cent age of marks would have been 40%.

38. In the given fig ure P, Q and R are cen tres of three equalcir cles. What is the area of the shaded portion in thefig ure shown be low?

I. QR is known.II. The triangle is an equilateral triangle.

39. What num ber is op po site the face bear ing num ber 5 ofthe same dice when it is thrown by dif fer ent per sons?Note that the dice bears the num bers 1 to 6 on dif fer entfaces of the dice.I. When Renu throws the dice on a table, she observes

that the visible surfaces bear the numbers 3, 6 and 5.

II. When Tulika throws the same dice, she finds herself

unable to see the three faces bearing the numbers

1, 3 and 5 while when her brother Shivendra throws

the dice he finds himself able to see the three faces

bearing the numbers 6, 4 and 5.

40. Find the length of AB.

If Ð = Ð = Ð = °YBC CAX YOX 90

``

I. Radius of the arc is given.

II. OA = 5

41. Three per sons were given cer tain cal cu la tions to

per form. The cal cu la tions were 1 1 1 1 2+ + +, , and 1 2+ .

Their re spec tive an swers were 3, 3 and 2. How many of

them are math e ma ti cians?

I. Mathematicians can never add two numbers

correctly, but they add three numbers correctly.

II. When ever the math e ma ti cians add two num bers

there is a mis take of +1 or -1.

42. In a cricket match, the ‘man of the match’ award is given to the player scor ing the high est num ber of runs. In caseof a tie, the player (out of those locked in the tie) who hastaken the higher num ber of catches is cho sen. Eventhere af ter if there is a tie, the player (out of those lockedin the tie) who has dropped fewer catches is se lected.Aakash, Biplab, and Chirag, who were con tend ers forthe award dropped at least one catch each. Biplabdropped 2 catches more than Akash did, scored 50 andtook 2 catches. Chirag got two chances to catch anddropped both. Who was the ‘man of the match’?I. Chirag made 15 runs less than both Aakash and

Biplab.

II. The catches dropped by Biplab are 1 more than the

catches taken by Aakash.

43. In fig ure given be low, PAQ is tan gent to the cir cle, with

cen tre O, at a point A.

What would be value of y ?

I. Ð = °x 58

II. Ð = °z 32

14 Analytical Ability : Data Sufficiency

P

Q Rx°x°

x°

Y

B

O A X

C

P

A

Q

C

B

z

x

y

O

44. An al loy of sil ver and gold weighs 30 g in air and 27 g inwa ter.

What is the weight of gold in the alloy?I. Both silver and gold lose one-tenth of their weights

in water.II. Silver loses 10% of its weight while gold loses 20% of

its weight in water respectively.

45. Is R

A B C

R

D E F2 2 2 2 2 2+ +>

+ +? It is given that A, B, C ,

D, E, F and R are nat u ral num bers.I. A B C D E F+ + = + + and among A, B and C; A is the

low est and C is the high est whereas among D, E andF, F is the high est and D is the low est.

II. F D C A- < -

46. What is the vol ume of a given cyl in der? It is given that

the cyl in der is within the cube touch ing all the ver ti cal

faces and a cone is in side the cyl in der.

I. Volume of the cone is known.

II. Height and radius of cone and cylinder are same.

47. Is n nx - di vis i ble by x ? It is given that x and n are

nat u ral num bers.

I. Value of n is known. II. Value of x is known.

48. Is 5 12( )abc

abcabc

+ the sim plest form of a frac tion? It is given

that a, b and c are nat u ral num bers.

I. c is an odd num ber.II. a = b = c

49. Is Rama taller than Sita ?

I. Rama is taller than Radha.II. Radha is not as tall as Sita.

50. On a stretch of wa ter, there is no cur rent from P to Q but

there is cur rent from Q to R. In such a cir cum stance,

Vicky takes 3 h to row down stream from P to R and 31

2 h

up stream from R to P. Sup pose the cir cum stances

change and now the ear lier cur rent is there all the ways

from P to R. How long will Vicky take to row from R to P

in the changed cir cum stances ?

I. Ratio of the speed of Vicky in still water and that ofthe stream is 6 : 1.

II. Current flows at the speed of 2km/h.

51. Is 1 1+ -( )P ! di vis i ble by P ?

I. P is an odd number.II. P is a prime num ber.

52. What is the value of a three-digit num ber n?

I. When digits at units place and hundreds place areinterchanged, number increases by 693 and in bothcases sum of digits of n re mains 9.

II. Middle digit is zero.

53. A cir cle C2 with ra dius r2 lies com pletely within an other

cir cle C1 with ra dius of r1. What is the value of r1?

I. The difference in the circumferences of C1 and C2 is

4 cm.

II. The difference in the areas of C1 and C2 is 268

11 sq cm.

54. Dur ing a five day pe riod, Mon day through Fri day, theav er age high tem per a ture was 86 °F. What was the high tem per a ture on Fri day?I. The average high temperature for Monday through

Thursday was 87 °F.II. The high temperature on Friday reduced the average

high temperature for the week by 1 °F.

55. How many hours will it take for all the stu dents andteach ers to gether to put up a tent?I. There are 4 teachers and 7 students.

II. All the teachers working together can put up the tent in 5 h while all the students working together can doso in 3 h.

56. N is an in te ger be tween 1 and 93. What is the value of N ? I. N is both the square of an in te ger and the cube of an

in te ger.II. The square root of N is di vis i ble by 4.

57. If a and b are integers and b > 0, does

a

b

a

b

-

+=

1

1 ?

I. a b= - 4II. a b= -

58. The given fig ure is a right an gled prism. What is thesur face area of QPTS, given that area of the face PQR x= ?

I. Area of TURP z=II. Area of SQRU y=

59. If x ¹ 0, then is 1

x greater than

1

1x +?

I. x < 1II. x > 1

60. XY is a tan gent to the cir cle with cen tre O at the point Q. What is the value of ÐDPQ?I. Ð = °DOX 140

II. Ð = °DQX 70

61. Alka and Madhu put 40 matches on the ta ble and makethem selves aware of the game for which the matches are to be used. As per the rules, the win ner is the one whotakes the last match. Who will win the game?I. Each play er in turn takes 1, 3 or 5 matches.

II. Madhu chooses to go first and takes 3 matches.

62. Dis tance be tween the two sta tions X and Y is 470 km.Two trains P and Q start from X and pro ceed to wards Yat speeds of 40 km/h and 60 km/h re spec tively. Anan other train R starts from Y and pro ceeds to wards X at

Andhra ICET MBA—Complete Success Package 15

P

RQ

U

T

S

a speed of 30 km/h. At what time, the dis tance be tween

the trains P and Q will be 2

3rd of the dis tance be tween

the trains P and R?I. Trains P and Q started at a in ter val of 3 h whereas

train R started si mul ta neously with one of the trainsamong P and Q at 8 am.

II. At 5 pm both the trains P and Q were at the samedis tance from X.

63. Av er age weight of four per sons is 67 kg. These per sonsare A, B, C and D. When E is in cluded in the group,av er age weight de creases by 2 kg. What is the weight ofA? A’s weight is 4 kg more than B’s weight.I. When B is dis placed by an other per son F, whose

weight is 4 kg more than E, av er age weight be comes64 kg.

II. When D is dis placed by an other per son G, whoseweight is 4 kg more than E, av er age weight be comes65 kg.

64. The ta ble shows the can cel la tion fee sched ule that atravel agency uses to de ter mine the fee charged to atour ist who can cels a trip prior to de par ture. If a tour istcancelled a trip with a pack age price of ` 1700 and ade par ture date of Sep tem ber 4, on what day was thetrip cancelled?

Cancellation Fee

Day Prior to Departure Per cent of Package

Price

46 or more 10%

45-31 35%

30-16 50%

15-5 65%

4 or fewer 100%

I. The can cel la tion fee was ` 595.

II. If the trip had been cancelled one day later, the

can cel la tion fee would have been ` 255 more.

65. HCF of two num bers is 23. Find the smaller of the twonum bers.I. The prod uct of the two num bers is 6348.

II. The sum of the two num bers is 161.

66. What is the value of x ?I. 2 4 14x + =

II. x y+ = 7

67. What is the speed of train ‘X’ in km/h?I. Length of train ‘X’ is twice that of train ‘Y’ and speed

of Y is 100 m/s.

II. Train ‘X’ passes train ‘Y’ in 10 s when they are

run ning in same di rec tion. Length of train ‘X’ is

100 m.

68. Which word in the code lan guage means ‘they’?I. ‘ras pak leun’ means ‘I have pens’ and ‘pak ras tap’

means ‘they have pens’.

II. ‘kip ras tun’ means ‘boys have cow’, and ‘sin tap ras’

means ‘they have egg’.

69. How far is Ranchi from Rohtak?I. Rohtak is 899 km from Ranchi.

II. There is no air route link ing Ranchi and Rohtak

di rectly.

70. Is g h- > 0?I. g h>

II. g h2 2>

71. What are the di men sions of a cer tain rect an gle?I. The per im e ter of the rect an gle is 14.

II. The di ag o nal of the rect an gle is 5.

72. What is the rate of sim ple in ter est per an num?I. The sum tri ples in 20 yr at sim ple in ter est.

II. The dif fer ence be tween the sum and the sim ple

in ter est earned af ter 10 yr is ` 1000.

73. A train crosses a sig nal post in X second. What is thelength of the train?I. The train crosses a platform in Y second.

II. The train is run ning at the speed of 80 km/h.

74. What is the area of a cir cle? I. The circumference of the circle is 308 m.

II. The ra dius of the cir cle is equal to the side of a

square.

75. What is the length of AB CD+ ?

I. AD = 30II. BC = 10

76. Which di rec tion is Shashidhar fac ing?

I. In the early morning, Shashidhar was standing in

front of a puppet and the shadow of the puppet was

falling to the right of Shashidhar.

II. In the early morn ing, Shashidhar was stand ing on

the ground.

77. Mahesh’s flat is on which floor of the five-floor

apart ment?

I. His flat is exactly above Ganesh’s flat, whose flat is

exactly above Nitin’s first-floor flat.

II. Jeevan’s flat, which is ad ja cent to Mahesh’s flat, is

ex actly be low Ahmed’s flat.

78. Who scored high est amongst A, B, C, D and E?

I. B scored more than D, but not as much as C.

II. E scored more than C, but not more than A.

79. On which date in April was Varun born?

I. Varun’s mother remembers that Varun was bornbefore nineteenth but after fifteenth.

II. Varun’s sis ter re mem bers that Varun was bornbe fore sev en teenth but af ter twelfth.

80. Is Bhavana five years old?

I. Kalpana is seven years old and is younger thanBhavana.

II. Bhavana is two years old than Ramesh.

81. What was the average marks in the class ?

I. The sum of all the marks was 8100.II. Rama’s marks 65, were above the average.

16 Analytical Ability : Data Sufficiency

A B C D

82. Is x greater than y ?

I. x is a mul ti ple of y.

II.x y

6 3=

83. What is the av er age monthly in come per fam ily

mem ber?

I. Each male earns ` 1250 a month and each femaleearns ` 1050 a month.

II. Ra tio of males to fe males in the fam ily is 2 : 1.

84. What per cent age rate of sim ple in ter est per an num didAshok pay to Sudhir?I. Ashok borrowed ` 8000 from Sudhir for four years.

II. Ashok re turned ` 8800 to Sudhir at the end of two

years and set tled the loan.

85. Is ( )x y2 2- an odd num ber? I. x and y are in te gers.

II. x y+ is an odd num ber.

86. Are x, y and z in AP?I. x is greater than y but less than z.

II. xy z

=+

2

87. What is the value of 20% of x ?I. 1/4 of 20% of x is 5.

II. 4 5x y=

B. Model Questions

Di rec tions (Q. Nos. 1 to 86) Each of the ques tionsbe low con sists of a ques tion and two state ments num beredI and II given be low it. You have to de cide whether thedata pro vided in the state ments are suf fi cient to an swerthe ques tion. Read both the state ments and give thean swer.(a) Statement I alone is sufficient, but statement II alone is

not sufficient(b) Statement II alone is sufficient, but statement I alone is

not sufficient(c) Both statements together are sufficient, but neither

statement alone is sufficient(d) Statements I and II together are not sufficient

1. How many can di dates were in ter viewed ev ery day by the

panel ‘A’ out of the three pan els A, B and C?

I. The three panels on an average can interview 15candidates every day.

II. Out of a to tal 45 can di dates in ter viewed ev ery day bythe three pan els, the number of can di datesin ter viewed by panel ‘A’ is more by 2 than thecan di dates in ter viewed by panel ‘C’ and is less by 1than the can di dates in ter viewed by panel ‘B’.

2. A, B, C and D made their pro ject pre sen ta tions, one on

each day, on four con sec u tive days but not

nec es sar ily in that or der. On which day did ‘C’ make his

pre sen ta tion?

I. The first presentation was made on 23rd, Tuesdayand was followed by D’s pre sen ta tion.

II. ‘A’ did not make his pre sen ta tion on 25th and one ofthem made his pre sen ta tion, be tween A’s and B’s .

3. What does ‘ja’ rep re sent in a code lan guage?

I. In that code language, ‘pik ja sok pot’ means ‘you canstay here’.

II. In that code language, ‘ja sok ton te’ means ‘you maycome here’.

4. Among Jap a nese Yen, Aus tra lian Do llar, Hong Kong

Dol lar and Sin ga pore Do llar, which cur rency has the

low est value in terms of In dian ru pees ?

I. One rupee is equal to 2.56 Japanese Yen, 0.338Australian Dollar, and 0.465 Hong Kong Dollar.

II. Value of Australian Dollar is equal to SingaporeDollar.

5. Among the mo bile ser vices com pa nies H, A and I, whichgives max i mum talk-time on its cou pon of ` X ?I. Number of subscribers of the company A is more

than the num ber of sub scrib ers of the com pany I, but

not as much as the com pany H.

II. Talk-time provided by the company I is equal to

X min utes, ie, equal in fig ure of the price of the

cou pon. But the same is not true for com pany A

which provides more talk-time than company H.

6. The book of which sub ject is at the sixth po si tion fromthe top in a pile of ten books, in clud ing 3 books ofHis tory, 3 of Hindi, 2 of Maths and 2 of Eng lish?I. Starting from above, there is an English book

between a History and a Maths book, a History book

between a Maths and an English book, a Maths book

between two Hindi books and two Hindi books

between a Maths and a History book.

II. Counting from bottom the book which is at the fourth

position is neither Maths nor English book.

7. What is the value of a two-digit num ber?I. The sum of the two digits is 4.

II. The difference between the two digits is 2.

8. What was the pop u la tion of State A in 2008?I. Population of the State A in creases ev ery year by

20% and its pop u la tion in 2006 was 120000.

II. Population of State A in 2006 was twice that of State

B in the same year.

9. X, Y and Z are in te gers. Is X an odd num ber? I. An odd number is obtained when X is di vided by 5.

II. ( )X Y+ is an odd number.

10. What will be the cost of the sec ond neck lace?

I. The cost of the first necklace is 1

5 more than the

second and the cost of the third necklace is 2

5 more

than the second. The total cost of all the three

necklaces is ` 120000.

II. The cost of the first necklace is 2

5 more than the

second. The cost of the third necklace is the least and

total cost of all the three necklaces is ` 120000.

Andhra ICET MBA—Complete Success Package 17

11. Is x y2 2 1: < ?I. ( ) ( ) %y x x y- + = 40 of 60 120- % of 20

II. x y<

12. What was the cost price of the suit case pur chased bySamir?I. Samir got 20% concession on the labelled price.

II. Samir sold the suitcase for ` 2000 with 25% profit onthe labelled price.

13. What is the speed of the boat in still wa ter?I. It takes 2 h to cover the distance between A and B

down stream.II. It takes 4 h to cover the distance between A and B

up stream.

14. The area of a square is equal to that of a cir cle.

What is the circumference of the circle?I. The diagonal of the square is x inch.

II. The side of the square is p times of radius.

15. What is the cost of the lay ing car pet in a rect an gu larhall?I. Cost of the carpet is ` 450/m2.

II. Perimeter of the hall is 50 m.

16. A starts a busi ness with ` 60000. Af ter 6 months B joinshim. What is the profit of B at the end of the year ?I. The share of the profit is in the ratio 4 : 3.

II. B’s cap i tal is ` 90000.

17. How many vi nyl squares with sides 5 inch long will beneeded to cover the rect an gu lar floor of a room?I. The floor is 5 ft long.

II. The floor is 3 ft wide.

18. If 8 9 2 3 106A C D I+ + + = , then what is the value of I?I. 6 4 16 4 48A C D E+ - - =

II. 24 13 28C I- =

19. Shiva owns 100 shares of stock A and 150 shares ofstock B. What is the to tal value of his stocks?I. The value of each share of stock A is twice the value

of each share of stock B.

II. The total value of 4 shares of stock A and 6 shares of

stock B is ` 750.

20. Av er age age of 50 em ploy ees work ing in a de part men talstore is 30 yr. In the next year, ten work ers will re tire.

What will be the average age in the next year?I. Retirement age is 60 yr.

II. There are 100 workers in the department.

21. Is the area of D ABD equal to the area of D DBC?

I. AD DC=II. Ð = °BAD 90

22. How many houses on the street are painted blue?I. Houses on the East side with number 122 through

182 are painted blue.II. Houses on the West and East sides have consecutive

odd and even numbers respectively.

23. What is the per im e ter of rect an gle ABCD?

I. Area of the circle is 78.5 sq cm.II. AB = 10 cm

24. How long will it take for a jeep to travel a dis tance of250 km?I. The relative speed of the jeep with respect to the car

moving in the same direction at 40 km/h is 50 km/h.II. The car started at 3.00 am in the morning.

25. If n is a two-digit num ber (so n ba= with dig its b and a,then what is the last digit a of n ? I. The number 3n is a three-digit num ber whose last

digit is a.II. The digit a is less than 7.

26. What is the value of p q3 3- ?

I. p q6 6 0- = II. q = 0

27. Is p greater than 1? (You may as sume that q is not equalto zero)

I.p

q

æ

èçç

ö

ø÷÷ is greater than 1.

II.1

q

æ

èçç

ö

ø÷÷ is less than 1.

28. If a b6 6 0- = , then what is the value of a b3 3- ?I. a is positive.

II. b is greater than 1.

29. Is y larger than 1 ?

I. y is larger than 0. II. y2 4 0- >

30. Is the in te ger di vis i ble by 3?I. The last digit in n is 3.

II. n + 5 is divisible by 6.

31. The pen ta gon PQRST is in scribed in the cir cle withcen tre O. How many de grees is ÐPQR?

I. The pentagon PQRST is a reg u lar pen ta gon. II. The radius of the circle is 5 inch.

18 Analytical Ability : Data Sufficiency

B

A D C

A B

C D

T S

R

Q

P

O

32. If t is a mul ti ple of prime num ber S, is t a mul ti ple of S2?I. S < 4

II. t = 18

33. Which word in the code lan guage means flower?I. ‘dem fu la pane’ means ‘rose flower is beautiful’ and

‘la quiz’ means ‘beautiful tree’.II. ‘dem fu chin’ means ‘red rose flower’ and ‘pa chin’

means ‘red tea’.

34. Is Mr ‘Y’ en ti tled to get pro mo tion in the month ofSep tem ber, 2008?I. As per his office rules, the only condition for

promotion is completion of 12 yr of service in a

particular grade on 31st December of every year.

II. Mr ‘Y’ has been work ing in this of fice for the last

12 yr.

35. A, B, C, D and F are seated around a cir cu lar ta ble fac ing at the cen tre. Who is on the im me di ate right of B ?I. D is be tween A and F.

II. C is be tween B and F.

36. ABCD is a square. What is the value of cir cum fer ence ofthe in ner cir cle?

I. The radius of the outer circle is 10 cm.

II. The difference between the radii of the two circles is

2.929 cm.

37. In a one-day cricket match of 50 overs, a team is chas ing

a tar get of 300 runs. At one stage, the run rate of 4.5 per

over was achieved. What is the re quired run rate af ter

20th over?

I. 80 runs were scored in first twenty overs.

II. Five wickets were lost within 20 overs.

38. If both the con veyer belts A and B are used, then they

can fill a hop per with iron ore in 1 h. How long will it

take for the con veyer belt A to fill the hop per with out

con veyer belt B?

I. Conveyer belt A moves twice as much iron ore as

con veyer belt B.

II. Conveyer belt B would take more than 3 h to fill the

hop per with out belt A.

39. A car, orig i nally, was sold for ` 200000. Af ter a month,

the car was dis counted x%, and a month later, the car’s

price was dis counted y%. Is the car’s price af ter the

dis counts less than ` 175000?

I. y = 10II. x = 15

40. If x, y and z are dig its, is x y z+ + a mul ti ple of 9? A digitis one of in te gers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.I. The three-digit number xyz is a mul ti ple of 9.

II. ( )x y z´ + is a multiple of 9.

41. What was the com bined av er age at ten dance per game at the Jawaharlal Nehru Sta dium for the months of Juneand July?I. The total attendance for the month of June was

23100 and the total attendance for the month of Julywas 25200.

II. There were 20 games played in June and 22 gamesplayed in July.

42. 48 chil dren of a class were asked to sit in rows andcol umns. How many chil dren are seated in each row?I. The number of columns is more than the number of

rows.II. The number of rows is 3/4 of the number of columns.

43. What is the dis tance be tween D1 and D2? It is given thata man who can row x km/h in still wa ter, takes z h to rowfrom D1 to D2, and back to D1, in a stream which flows aty km/h.I. Value of ( )x y2 2- is known.

II. ( )x z¸ is known.

44. What is the price of a cake if a man’s fam ily con sumes14 cakes in a week ?I. If the wages of the man were raised by 12% and the

price of cake was raised by 15%, he would gain60 paise a week, but if his wages were increased by12% and the price of cake was raised by 16%, hewould neither gain nor lose.

II. If the wages of the man were raised by 4% and theprice of cake was also raised by 4%, he would save 80paise more a week, but if his wages were increasedby 8% and the price of cake was also raised by 8%, hewould save 160 paise more a week.

45. There are four en ve lopes E E E E1 2 3 4, , , in which one wassup posed to put let ters L L L L1 2 3 4, , , meant for per sons C C C C1 2 3 4, , , , re spec tively but by mis take the let ters gotjum bled up and went in wrong en vel opes. Now if C2 isal lowed to open an en ve lope at ran dom, then how will heiden tify the en ve lope con tain ing the let ter for him?I. L2 has been put in E1.

II. The letter belonging to C3 has gone in the correctenvelope.

46. A cir cle has ra dius r and or i gin as its cen tre. Twotan gents are drawn from an ex ter nal point D, d dis tanceaway from the or i gin. What are the an gles made by thetan gents with the pos i tive X-axis.I. The coordinates of the point D are given.

II. The X-axis bi sects one of the tan gents.

47. Is Ð > Ð - ÐBPD ABP APB1

2( ) in the fig ure shown

be low?

(AP is tan gent)

I. Length of AC is known.II. PD is the bi sec tor of ÐBPC.

Andhra ICET MBA—Complete Success Package 19

A B

CD

D BC

P

A

48. In the fig ure be low, is PQ par al lel to TU ?

I. w z=

II. x y=

49. Is point P lo cated on the cir cum fer ence of the cir cle with

cen tre O and ra dius of length l ?

I. Points P, O and R are the ver ti ces of an equi lat eral

tri an gle.

II. Point R is lo cated on the cir cum fer ence of the cir cle

with cen tre O and ra dius of length l.

50. In the fig ure, is PRSU a square?

I. PQ QR= and UT TS=

II. PU RS=

51. Is x an in te ger?

I.19

1x + is an integer.

II.x + 1

5 is an integer.

52. In the given fig ure find Ð APB.

I. Ð = °ACB 72

II. Ð = °ABC 72

53. Was China’s GDP in 2008 50% higher than that of

In dia? It is given that FEI for a coun try in a year is the

ra tio (ex pressed as a per cent age) of its for eign eq uity

in flows to its GDP.

I. FEI of In dia in the year 2008 was 0.72 while FEI of

China in the year 2008 was 4.80.

II. China’s foreign equity inflows in 2008 were 10 times

that to India.

54. A tea dealer mixed 60 kg of or di nary tea with 40 kg ofone of better qual ities. What would be the cost price ofeach kind of tea if the dealer gains 25% on his out lay?I. Selling price of the mixture per kg is equal to the cost

price of sugar per kg and the dealer get 20% profit byselling sugar at ` 25 per kg. The dealer is habituatedto count his per cent profit on cost price for all thegoods except sugar.

II. Difference between the cost prices of each kind of teais ` 2 per kg.

55. The av er age tem per a ture of 7 days was 44°C. Theav er age tem per a ture of the first three days was 43.8°C.The av er age tem per a ture of the sixth and the sev enthdays was 0.1°C more than the av er age tem per a ture ofthe first three days. What was the tem per a ture of thefourth day? I. The temperature of fourth day was 0.2°C more than

that of fifth day.II. The temperature of fifth day was 0.2°C more than

that of sixth day.

56. Is ababab di vis i ble by 222 where a and b are two dig its?I. a b+ = 5

II. b is an even num ber.

57. At a res tau rant, Harish left a tip for his waiter equal to20% of his en tire din ner cheque, in clud ing tax. Whatwas the amount of the din ner cheque?I. The sum of the dinner cheque and the tip was Rs

16.80.II. Harish’s tip con sisted of two bills and four coins.

58. What was the gross in come of XYZ Ltd for the year2008?I. In 2007, the gross income of XYZ Ltd was

` 4300 crore.II. The gross in come of XYZ Ltd was 5% greater in 2008

over 2007.

59. If p is a pos i tive num ber, then what is the value of p?

I. | |p - =2 1 II. p p2 4 3= -

60. A group of 49 con sum ers were of fered a chance tosub scribe to three magazines— A, B and C. Thirty-eight of the con sum ers sub scribed to at least one of themag a zines. How many con sum ers sub scribed to ex actlytwo of the mag a zines?I. Twelve of the 49 con sum ers sub scribed to all three of

the mag a zines.II. Twenty of the 49 con sum ers sub scribed to

mag a zine A.

61. Is ( )X Y Z2 2 2+ + even? [X, Y, Z are in te gers]I. X, Y, Z are con sec u tive.

II. X Z2 2+ is even.

62. In the given fig ure, is Ð = °AEC z ?

I. Sum of ÐBAE and Ð DCE is equal to ( )360°- °z .II. AB is par al lel to CD.

20 Analytical Ability : Data Sufficiency

QP

R S

T U

y°

z°

x°

w°

QR

y

SP

U Tx

O

A

P

B

C

D

BA

C

E

63. What would be the min i mum pres ent ages of Raju?

It is given that t1 years ago the ratio of the age of Raju tothat of Renu was R S: and t2 years hence the ratio willbecome T U: .I. The val ues of ( )t t1 2+ and T U- are 10 and 1

re spec tively, and T U T: := 2 14 (where t1 and t2 arenat u ral num bers ).

II. R U´ = 42 and T S´ = 40.

64. A bill falls due in a year. The cred i tor agrees to im me di ate pay ment of half the amount and de fers the rest of thepay ment for 2 yr. What is the amount of the bill?I. Creditor gains ` 40.

II. Rate of in ter est is 12.5%.

65. What is Sudha’s pres ent age?I. Sudha’s present age is five times her son’s present

age.II. Five years ago her age was twenty-five times her

son’s age that time.

66. What is the height of a right-an gled tri an gle?I. The area of the right-an gled tri an gle is equal to the

area of a rect an gle whose breadth is 12 cm.II. The length of the rect an gle is 18 cm.

67. How is A re lated to B?I. A is mar ried to Y ’s sis ter.

II. B is the name of Y ’s sis ter.

68. To wards which di rec tion is C from Q ?I. C and Q are op po site to each other. L is equi dis tant

from C and Q. II. L is nei ther to wards North-East nor to wards

South-West of C and Q re spec tively.

69. When will the sun rise to mor row ?I. The sun will set to mor row at 6.15 pm.

II. To mor row’s day will be of 11 h 50 min.

70. A cer tain gar den con sists only of ap ple trees, mangotrees and or ange trees. Which type of tree is the mostnu mer ous?I. There are 4/5 as many or ange trees as there are

mango trees.II. There are 2/3 as many mango trees as there are ap ple

trees.

71. How many marks did Prakash ob tain in Math e mat ics?I. Prakash se cured on an av er age 55% marks in

Math e mat ics, Phys ics and Chem is try to gether.II. Prakash se cured 10% more than the av er age in

Math e mat ics.

72. How much was the loss?I. The cost is ` 300.

II. The loss is 25% of the sell ing price.

73. What is the cost of floor ing a room?I. The length and breadth of the room are 9 m and 6 m

respectively.II. The cost of the tiles is ` 6 per cm2.

74. Who is pa ter nal un cle of P ?I. P is brother of L, who is daugh ter of Q, who is sis ter

of N, who is brother of S.II. M is brother of K, who is hus band of L, who is mother

of G, who is sis ter of P.

75. Who among the three friends A, B and C reached the

school first ?

I. A reached the school at 7.15 am, 5 min before the bell

rang.

II. B reached be fore C, who reached the school be fore

the bell rang.

76. In a cer tain code lan guage, what does ‘come’ mean?

I. ‘pit na ja’ means ‘come and go’ in the code language.

II. ‘na dik sa’ means ‘you may go’ in the code lan guage.

77. On which day of the week was Navin on leave?

I. Navin’s mother was hospitalised on Thursday.

II. Navin’s brother was on leave on Fri day.

78. Five per sons are to be seated on a cir cu lar ta ble. Who

will be seated be tween Ram and Gita?

I. Ram will sit on the right of Vinay and on the left of

Kamal.

II. There will be two per sons seated be tween Vinay and

Kamal.

79. Which city has the low est pop u la tion?

I. Bareilly has 20 lakh population, which is less than

the population of Banaras.

II. Patna has pop u la tion equal to that of Banaras and

more than that of Allahabad.

80. In a row of boys fac ing North who is on the im me di ate

right of Nishikant?

I. Nishikant is second to the left of Shashikant and

second to the right of Ravikant.

II. Dinanath and Premnath are also in the row but

Dinanath is the near est to Shashikant.

81. What is the dif fer ence be tween the two dig its in a

two-digit num ber?

I. The sum of the two digits is 8.

II. 1/5 of that num ber is 15 less than 1/2 of 44.

82. What per cent age of X ’s sal ary is Y’ s sal ary?

I. X’s sal ary is 20% of Z’s sal ary.

II. Y’s sal ary is 45% of Z’s sal ary.

83. What is the value of x?

I. If 10 is added to x, the re sult is 34.

II. If x is mul ti plied by y, the re sult is 38.

84. How many boys are there in the class?

I. The number of boys is 120% of the number of girls in

the class.

II. The num ber of girls is 5

11th of the to tal num ber of

stu dents.

85. Find the value of al ge braic ex pres sion x yx

y3

3

-æ

è

çç

ö

ø

÷÷.

I. x = 2

II. y = 1

86. Is a quad ri lat eral ABCD a square?

I. A pair of adjacent sides are equal.

II. The an gle en closed by these equal ad ja cent sides

is 90°.

Andhra ICET MBA—Complete Success Package 21

C. MBA Entrances’ Gallery

Di rec tions (Q. Nos. 1 to 10) Each of these has a

ques tion fol lowed by two state ments num bered I and II.

Mark an swer as [MAT Feb 2010]

(a) if statement I alone is sufficient to provide the answer(b) if statement II alone is sufficient to provide the answer(c) if both statements are required to provide the answer(d) if neither statement I nor II is sufficient to provide the

answer

1. If the ex pres sion x x2 4 3.75 0- + = is true, what is theunique value of x?I. x is a positive real number.

II. x is less than ( / )1 1+ n n, where n is a positive integer.

2. Amongst five stu dents A B C D E, , , , who got themax i mum marks ?I. D got more than A and C.

II. B got less than E but more than D.

3. What is the cost of a book ?I. The selling price is 25% more than the cost price.

II. The seller makes a profit of ` 100 on selling every lotof 5 books.

4. How many tonnes of ce ment will be needed for thefoun da tion of a flat ?I. For construction of entire flat 50 tonne of cement will

be used.II. The volume of the cement needed for the foundation

is 100 cubic yard.

5. A toy was ini tially listed at a price to give the

shop keeper 20% profit of the whole sale cost. What is the

whole sale cost ?

I. After reducing the listed price by 10%, the toy soldfor a profit of ` 10.

II. The toy sold for ` 50.

6. In a class, 150 students took the ex am i na tion of phys icsand chemistry. 90 stu dents passed in Chem is try and 50passed in Phys ics. How many stu dents passed in both ?I. Overall 30 students failed in both the papers.

II. Physics paper was tougher than Chemistry paper.

7. Is a b< ?

I. a a2 4 4 0- + = II. b b2 6 9 16- + =

8. In a queue for rail way tick ets, 5 per sons Ram, Shyam,Narender, Naresh, Ramesh are stand ing in ran domor der. Who is the third per son in the queue ?I. Shyam is standing behind Ram and Narendra is

ahead of Ram.II. The queue starts from Ramesh and ends with

Naresh.

9. In a group of 4 stu dents X Y Z A, , , who got the max i mum marks ?I. Z got less marks than Y .

II. Y got more marks than X but less than A.

10. What is the value of a two-digit num ber ?I. The sum of the two digits is 6.

II. The difference of the two digits is 2.

Di rec tions (Q. Nos. 11 to 15) Each of these

que sti ons con sists of two quan ti ties, one in Col umn A and

the other in Col umn B. Compare the two quan ti ties. Mark

an swer as

(a) if the quantity in Column A is greater [MAT Feb 2010](b) if the quantity in Column B is greater(c) if the two quantities are equal(d) if comparison cannot be made from the information given

Col umn A Col umn B

11. ( )16 4 8 2 8¸ + ´ - ( )3 4 1 5 3´ + ¸ -

12. 0.01 divided by 0.1 0.01 times 0.1

13. 9 1 3( / ) 6 1 2( / )

14. Semi- circumference of acircle with radius 10 cm

Circumference of a circle with radius 5 cm

15. Circumference of a circlewith radius cm

Perimeter of a squarewhose side is 15. cm

Di rec tions (Q. Nos. 16 to 21) Each of theseques tions con sists of two quan ti fies, one in Col umn A andone in Col umn B. Com pare the two quan ti ties. Markan swer as

(a) if the two quantities are equal(b) if the Column B is greater(c) if the Column A is greater(d) if comparison cannot be made from the information given

Column A Column B

16. The area of a rectangle

with sides of 2 cm and 2 cm

The area of a squarewith side 2 cm

17. The volume of a cube withside of length 3 cm

The volume of acylinder with radius 2 cm and height 3 cm

18. The sum of the integersfrom – 10 to 5

The sum of the integersfrom – 5 to 10

19. 1 3/ of x 35% of x

20. ( / )15 2 3 3/

21. 4 17/ 2 15/

Di rec tions (Q. Nos. 22 to 27) Each of these

ques tions con sists of a ques tion and two state ments I and

II. De cide whether the data pro vided in the state ments are

suf fi cient to an swer the ques tion. Mark an swer as

[MAT Dec 2009]

(a) if the data in both the statements I and II are required to answer the question

(b) if the data in statement II alone are sufficient to answerthe question while the data in statement I alone are notsufficient to answer the question

(c) if the data in statement I alone are sufficient to answer

the question while the data in statement II alone are not

sufficient to answer the question

(d) if the data in both the statements I and II together are

not sufficient to answer the question

22. What is the dif fer ence be tween the two num bers ?

I. First number is 60% of the other number.

II. 50% of the sum of first and second numbers.

23. x y, and z are integers. Is x an odd num ber ?

I. An odd number is obtained when x is divided by 5.

II. ( )x y+ is an odd number.

24. P, Q, R and S are four con sec u tive even in te gers. What is

the value of the larg est in te ger among these ?

I. The average of the four numbers is the first prime

number greater than 10.

II. The ratio between the largest and the smallest of the

numbers is less than 20.

25. A per son buys 36 pen cils, 200 erasers and 35 pens for

` 3000. He sells the pen cils at 25% profit and eras ers

and pens at 20% loss. Find out the to tal loss in curred by

him.

I. Cost price of pencils per dozen is ` 50.

II. He buys erasers at ` 10 for 10 pieces.

26. What will be the mothers age af ter 15 yr ?

I. The ratio between the ages of the mother and the

daughter at present is 5 : 1.

II. After 10 yr, the daughter will be 25 yr younger than

her mother.

27. Ravi gets ` 432.10 as com pound in ter est by in vest ing

some money. What is the rate of in ter est ?

I. Interest was for 4 yr.

II. For the same period, simple interest was ̀ 400 at the

same rate.

Di rec tions (Q. Nos. 28 to 34) Com pare the two

quan ti ties in Col umn A and Col umn B. Mark an swer as

(a) if the quantity is greater in Column A [MAT Dec 2008](b) if both quantities are equal(c) if the quantity is greater in Column B(d) if no com par i son can be made with the in for ma tion

given

28. Col umn A A sin gle dis count of 10%.

Col umn B Two suc ces sive dis counts of 5% and 5%.

29. Col umn A The per cent of in crease from ` 10 to ` 12.

Col umn B The per cent of in crease from ` 20 to ` 22.

30. Col umn A Cir cum fer ence of a cir cle hav ing ra dius

1 cm.

Col umn B Per im e ter of a square hav ing side 1.5 cm.

31. Col umn A One-third of half of x.

Col umn B 15% of x.

32. Col umn A Area of square with side 1.8 m.

Col umn B Area of a cir cle with di am e ter 2 cm.

33. Col umn A Number of ways to ar range 5 dif fer ent

books on a shelf.

Col umn B Number of min utes in two hours.

34. Col umn A Area of a rect an gu lar strip 157 cm long

and 2 cm wide.

Col umn B Area of a cir cle with ra dius 10 cm.

Di rec tions (Q. Nos. 35 to 40) Each of theseques tions con sists of a ques tion and two state mentsnum bered I and II. De cide whether the data pro vided inthe state ments are suf fi cient to an swer the ques tion. Markan swer as [MAT Dec 2008]

(a) if the data in statement I alone are sufficient to answerthe question, while the data in statement II alone arenot sufficient to answer the question

(b) if the data either in statement I alone or in statement IIalone are sufficient to answer the question

(c) if the data in statement II alone are sufficient to answerthe question, while the data in statement I alone are notsufficient to answer the question

(d) if the data in both state ments I and II to gether arenec es sary to an swer the ques tion

35. Which is the smaller of the two num bers?I. The difference between these two numbers is

one-fourth of the larger number. II. The sum of these two num bers is 70.

36. How many marks did Arun get in His tory?I. Average marks obtained by Arun in History, Maths

and English is equal to the average marks in Mathsand English.

II. Arun got a to tal of 120 in Maths and Eng lish to gether.

37. What is the ra tio be tween the pres ent ages of a fa therand his son?I. Ratio of the present ages of the father 20 yr before

and son 10 yr before was 2 : 1.II. Sum of the present ages of the father and son is 50 yr.

38. In a class, the ra tio of boys and girls is 13 : 10. How many boys are there in the class? I. The number of boys is 30% more than that of girls.

II. The num ber of girls is 15 less than that of boys.

39. By sell ing a prod uct for ` 100, how much profit wasearned?I. 20% profit would have been earned if it had been sold

for ` 90.II. The profit was one-third of the purchase price.

40. What is the speed of a run ning train which takes 6 s tocross a sig nal post?I. The length of the train is 90 m.

II. The train takes 18 s to cross a plat form 180 m long.

Di rec tions (Q. Nos. 41 to 42) Each of the fol low ing ques tions con sists of a ques tion and two state mentsnum bered I and II given be low it. De cide whether the datapro vided in the state ments are suf fi cient to an swer theques tion. Mark an swer as [MAT Sept 2008]

(a) if the data given in both the statements I and II togetherare not sufficient to answer the question

(b) if the data in statement II alone are sufficient to answerthe question, while the data in statement I alone are notsufficient to answer the question

(c) if the data in statement I alone are sufficient to answerthe question, while the data in statement II alone arenot sufficient to answer the question

(d) if the data in both the statements I and II together arenecessary to answer the question

Andhra ICET MBA—Complete Success Package 23

41. How many doc tors are prac tis ing in this town?I. There is one doctor per seven hundred residents.

II. There are 16 wards with each ward having as manydoctors as the number of wards.

42. How many speeches are de liv ered in the two day’sprogramme?I. 18 speakers were invited to give at least one speech,

out of which one-sixth of the speakers could notcome.

II. One-third of the speakers gave two speeches each.

Di rec tions (Q. Nos. 43 to 48) Each of the ques tions be low con sists of a ques tion and two state ments num bered Iand II. De cide whether the data pro vided in thestate ments are suf fi cient to an swer the ques tion. Markan swer as [MAT Sept 2008]

(a) if the question can be answered with the help of both thestatements, but not with the help of either of thestatements by itself

(b) if the question can be answered with the help ofstatement II alone

(c) if the question can be answered with the help ofstatement I alone

(d) if the question cannot be answered even with the help ofboth the given statements

43. Is x/18 an in te ger?I. x/6 is an integer.

II. x/3 is an integer.

44. Is Q an in te ger or a frac tion?I. P Q+ is an odd integer.

II. P Q- is an odd integer.

45. k > 100Is it a prime number?I. When k is divided by 16, the remainder is 19.

II. 7k is not a prime number.

46. P Q R S> > > , S is pos i tive.Is it PQ RS/ an integer?I. P and Q are prime numbers.

II. R and S are prime numbers.

47. p and q are in te gers.

Is q even?I. 4 6p q+ is even.

II. 4 7p q+ is even.

48. a, b, c, d, e, f and g are con sec u tive in te gers. Is e odd ? I. bf is even.

II. af is even.

Di rec tions (Q. Nos. 49 to 68) In these ques tions aques tion is fol lowed by data in the form of two state mentsla belled as I and II. You must de cide whether the datagiven in the state ments are suf fi cient to an swer theques tion. Us ing the data make an ap pro pri ate choice from(a) to (d) as per the fol low ing guidelines. [ICET 2009]

Mark choice (a) if the statement I alone is sufficient toanswer the question Mark choice (b) if the statement I alone is sufficient toanswer the question

Mark choice (c) if both the statements I and II aresufficient to answer the question but neither statementalone is sufficientMark choice (d) if both the statements I and II togetherare not sufficient to answer the question and additionaldata is required

49. What is the av er age marks of 10 stu dents ?

I. The average marks of 9 of them is 60.II. The marks obtained by one of them is 52.

50. If A is the ma trix 5 6

4x

é

ëê

ù

ûú, then what is the value of x ?

I. A is not a symmetric matrix.II. A is a singular matrix.

51. What is the vol ume of the cone ?

I. The height of the cone is 10 cm.II. The area of its base is 126 sq cm.

52. What are the val ues of the real num bers a and b ?

I. 2 is a root of x ba - = 0

II. 2 is a root of ax x4 2 0- =

53. What are the val ues of the real num bers a and b ?

I. a b b: : ,= >7 3 0

II. 2 6 11 0a b a: : ,= >

54. How long will 200 men take to reap the har vest of a field

of area 2.4 km2?

I. 100 men will reap the harvest of a field of area 1km2

in 6 weeks.

II. 200 women will reap the harvest of a field of area

1.2 km2 in 6 weeks.

55. Is x x2 < ?

I. x is a real number.

II. x is an integer.

56. Which is the larg est num ber among x y, and z ?

I. 12 2x z=

II. x y z: : : := 3 7 6

57. Is x y= ?

I. x% of y is equal to y% of x.

II. x is 20% of z.

58. What is the slope of the straight line ?

I. The straight line passes through the origin and thepoint (3,2).

II. The straight line passes through (3, 3).

59. Is the set A equal to the set B ?

I. A B AÇ ¹II. n A n B( ) ( )=

60. Is the pos i tive in te ger x odd ?

I. x2 is even.II. 4x is even.

61. What is the unit digit of the in te ger x ?

I. The unit digit of x4 is 1.II. The unit digit of x3 is 2.

62. What is the value of a b c d+ + + ?

I. 3 5 7 6 24a b c d+ + - =II. a b c d- - + =3 10 16

24 Analytical Ability : Data Sufficiency

63. What is the value of sin q ?

I. tan cotq q = 3+II. ( cot )( cot )cosec cosecq + q q - q = 1

64. Is the pos i tive in te ger a di vis i ble by 42 ?

I. a is not divisible by 7.II. a is divisible by 21.

65. Is (log ) log102

102x y= ?

I. a y= = 10II. x y2 2>

66. What is the area of the tri an gle formed by join ing the

points A, B and C ?

I. A B= =( , ), ( , )2 5 3 2II. A, B and C lie on a straight line.

67. If x y, and n are pos i tive in te gers, is x yn n+ di vis i ble by 2?

I. x = 21II. y = 1001

68. ab cd= ?

I. a% of c is equal to b% of d.II. b% of c is equal to d% of a.

Di rec tions (Q. Nos. 69 to 88) In these ques tions, a

ques tion is fol lowed by data in the form of two state ments

la belled as I and II. You must de cide whether the data

given in the state ments are suf fi cient to an swer the

question. Using the data make an ap pro pri ate choice from

(a) to (d) as per the fol low ing guidelines. [ICET 2008]

Mark choice (a) if the statement I alone is sufficient toanswer the question Mark choice (b) if the statement II alone is sufficient toanswer the question Mark choice (c) if both the statements I and II aresufficient to answer the question but neither statementalone is sufficientMark choice (d) if both the statements I and II togetherare not sufficient to answer the question and additionaldata is required

69. What is A BÇ ?

I. A = { , , }3 4 5 II. B A- =~ { , }1 2

70. What is the qua dratic equa tion ?

I. The coefficient of x2 is 1.II. Both of its roots are real.

71. Is the quad ri lat eral ABCD cy clic ?

I. AC BD= II. Ð + Ð = °BAD BCD 180

72. What is the equa tion of the straight line ?

I. It passes through (1, 1).II. Its perpendicular distance from the origin is 1.

73. What is the sum of the real num bers a, b, c ?

I. a c+ = 4II. a, b, c are in arithmetic progression.

74. Is the tri an gle ABC right an gled ?

I. Ð = ÐA B2

II. Ð = ÐB C2

3

75. Four cir cles of equal ra dii are in scribed in a squaretouch ing each other. What is the area cov ered by thefour cir cles ?I. The perimeter of the square is 32 cm.

II. The ratio of the sums of the areas of four circles tothat of the square is p :4.

76. If x y z, , are dis tinct in te gers, is ( )x y z- > 0 ?I. z x= 2

II. y x>

77. What is the cost of paint ing a room which is of the formof a cube ?I. The base area of the room is 144 sq ft.

II. The room has one door of size ¢ ´ ¢6 4 and has nowindows.

78. If a, b, c are pos i tive in te gers, is the prod uct abc even ?I. a b c+ + is odd.

II. a c+ is odd.

79. How many de grees is the an gle x ?

I. y = °120II. z = °87

80. If b, c are pos i tive in te gers, is b c+ , a prime num ber ?I. b and c are odd.

II. c b= 5

81. Each stu dent in a hos tel speaks Tel ugu or Kannada orboth. What is the num ber of stu dents who can speakTel ugu only ?I. The total number of students in the hostel is 500 and

the number of students who can speak both Telugu

and Kannada is 156.

II. The number of students who can speak Kannada

only is 124.

82. Is x the larg est among the pos i tive real num bers x y,and z ?I. x y z- >

II. x z y+ > 2

83. How many of A, B, C and D got se lected into Hockey team ?I. The statement, at least one of A and B got selected

into team, is true.

II. The statement C and D are selected into the team is

false.

84. Is n di vis i ble by 120 ?I. n is the product of executive integers.

II. n is divisible by 6 and 20.

85. What are the val ues of the real num bers a b c, , in f x ax bx c( ) = + +2 ?I. f ( )1 0=

II. f i( )1 0+ =

86. If a a a a S0 1 2 10+ + + + =...... and a0 3= , what is S ?I. a a nn n= =-5 1 2 101 , , ,...... ,

II. a nn > =0 1 2 10, , ,..... ,

Andhra ICET MBA—Complete Success Package 25

y x

z

87. If x and y are non-zero real num bers, is x y> ?

I. ( )x yx y

- -æ

èçç

ö

ø÷÷ =

1 10

II. ( ) ( )x y- = =5 52 2

88. What is the min i mum value of the real num ber y ?I. 2 2 2y y y£ +

II. y < 0

Di rec tions (Q. Nos. 89 to 108) Each of the given

questions is fol lowed by data in the form of two state ments

la belled as I and II. You must de cide whether the data

given in the state ments are suf fi cient to an swer the ques tion.

Us ing the data make an appropriate choice from (a) to (d)

as per the fol low ing guide lines. [ICET 2007]

Mark choice (a) if the statement I alone is sufficient toanswer the questionMark choice (b) if the statement II alone is sufficient toanswer the questionMark choice (c) if both statements I and II are sufficient to answer the question, but neither statement alone issufficientMark choice (d) if the statements I and II are notsufficient to answer the question and additional data isrequired

89. What is the value of x y+ ? I. x y x y- = -2 2

II. x y y x- = -

90. What is the value of x ?I. 2 3 4x y- =

II. y y2 2 1+ = -

91. Will it be a Wednes day to mor row ?I. Coming Wednesday is a holiday.

II. It is not Tuesday today.

92. How old is the son?I. Mother was 22 yr when the son was born.

II. Son retired in his 58th yr and by then the motherwas no more.

93. In a class of 120 stu dents, how many girls gotdis tinc tion?I. 20 boys in the class got distinction.

II. 25% of the students in the class got distinction.

94. What is the pres ent age of A?I. A was married in his 25th yr.

II. A was a central government employee and retired in1998 after completing 60 yr.

95. Who is the heavi est among four friends A, B, C and D?I. B is heavier than A but lighter than D.

II. C is lighter than B.

96. Is the in te ger a even?I. 8a is even.

II. 7a is odd.

97. What is the value of the in te ger a?

I.1

7

1

2

1

2<

+<

aII. a a2 24 10+ =

98. What are the di men sions of a rect an gle?I. Its area is 12 m2.

II. Its diagonal is 5 m.

99. If x and y are in te gers, is x y> ?

I.x y

3 3=

II. x is a mul ti ple of y.

100. Is A B C D= = =2 ?I. A B C= =2

II. D B C= =2

101. What is the an gle R in the tri an gle PQR?I. Ð + Ð = °P Q 120

II. 2 110Ð + Ð = °Q R

102. What is the value of the in te ger a?

I. | |a - <1 3II. | |a + <3 3

103. What is the value of a b+ ?

I. a b- =2 25II. a ab b2 225 4 4- = -

104. What is the two-digit num ber?

I. The sum of the two digits is 9.II. The difference between the two digits is 1.

105. Are the two tri an gles con gru ent?I. They are both equilateral triangles.

II. They have equal bases and equal heights.

106. Is a b> ?I. | |a b- = 25

II. 2 9a b+ =

107. A and B are stand ing on a Sunny day. A’s shadow is 10

feet long. B’s shadow is 9 feet long. How tall is B ?

I. A is stand ing 2 feet away from B.II. A is t feet tall.

108. What is the age of A?

I. The age of B is 18 yr.II. A is 5 yr youn ger than B.

Di rec tions (Q. Nos. 109 to 118) Each of these

ques tions con sists of a ques tion and two state ment?

num bered I and II. Decide whether the data pro vided in

the state ments are suf fi cient to an swer the ques tion. Mark

an swer as [MPMET 2009](a) if the data in statement I alone are sufficient to answer

the question while the data in statement II alone are not sufficient to answer the question

(b) if the data in statement II alone are sufficient to answerthe question while the data in statement I alone are notsufficient to answer the question

(c) if the data either in statement I alone or in statement IIalone are sufficient to answer the question

(d) if the data in both statements I and II together arenecessary to answer the question

109. What is the dif fer ence be tween the two dig its in a

two-digit num ber ?

I. The sum of the two digits is 8.II. 1/5 of that number is 15 less than 1/2 of 44.

26 Analytical Ability : Data Sufficiency

110. What per cent age rate of sim ple in ter est per an num didAshok pay to Sudhir ?I. Ashok borrowed ` 8000 from Sudhir for four years.

II. Ashok returned ` 8800 to Sudhir at the end of twoyears and settled the loan.

111. What is the length of the train which crosses asta tion ary man in 5 s ?I. The train crosses a 150 m long platform in 20 s.

II. The speed of the train is 36 km/h.

112. Ram is 50% more efficient than Shyam. In how manydays, can Shyam alone do the whole work ? I. Ram and Shyam together can do the whole work in

12 days.II. Ram worked for 4 days and left the work and the

remaining work was done by Shyam alone in 24days.

113. What is the area of a cir cle ?I. The circumference of the circle is 308 m.

II. The radius of the circle is 28 m.

114. Which of the four num bers w, x, y and z is the larg est ?I. The average of w, x, y and z is 25.

II. The numbers w, x and y are each less than 24.

115. Which is the smaller of the two num bers ? I. The difference between these two numbers is

one-third of the largest number.II. The sum of these two numbers is 30.

116. What is the ra tio be tween the pres ent ages of fa ther andhis son ?I. Ratio of the ages of father 10 years before and son

5 years before was 2 : 1II. Sum of the present ages of father and son is 60 yr.

117. Find the ra tio of the num bers of boys to that of girls in aschool.I. Number of boys is 30 more than girls.

II. Number of girls is 75% of the number of boys.

118. A shop keeper sells some ar ti cles, mak ing profit of 20%

on the cost price. Find the amount of profit.

I. Cost price of the article is ` 1200.II. Selling price of the article is ̀ 240 more than the cost

price.

Di rec tions (Q. Nos. 119 to 128) Each of thefol low ing ques tions con sists of two quan ti ties, one inCol umn A and one in Col umn B. Com pare the twoquan ti ties and mark an swer as [MPMET 2009]

(a) if the quantity in Column A greater(b) if the quantity in Column B is greater(c) if the two quantities are equal(d) if the relationship cannot be determined from the

information given

Column A Column B

119. a + 5 a + 7

120. The number of evenintegers between 1 and 13

The number of evenintegers between 2 and 14

121. 31 x 35x

122. The per cent increase from 10 cm to 14 cm

The per cent increase from 54 cm to 58 cm

123. 1/25 0.016/4

124. 8 7 368. ´ 9 368´

125. 1/20 of 800 5% of 800

126. ( )( )85 93 22 8- - ( )( )42 95 11 17- -

127. 5 3 1 2´ + ¸( ) 5 3 1 2´ + ¸

128. 0.75% 0.0075

Directions (Q. Nos. 129 to 147) Each of the given

ques tions is fol lowed by two state ments I and II. An swer

each ques tion us ing the fol low ing in struc tion. Mark your

an swer as [MPMET 2008]

(a) if statement I alone is sufficient to solve the question,but statement II alone is not

(b) if statement II alone is sufficient to solve the question,but statement I alone is not

(c) if neither statement I nor statement II is individuallysufficient to solve the question, but a combination ofboth is sufficient to solve the question

(d) if both the statements taken together are not sufficientand more information is required to solve the question

129. Is the pos i tive in te ger n equal to the square of anin te ger? I. For every prime number p, if p is a di vi sor of n, then

so is p2.

II. n is an integer.

130. From the set of prime num bers, a num ber is se lected atran dom. What is that num ber?I. The selected number is even.

II. The largest number in the set is 3.

131. What is the value of k k2 - ?I. The value of ( / )k k-1 is 1.

II. The value of ( )2k n- is n (where n is an in te ger).

132. At a sem i nar, the reg is tra tion fee for ex ist ingmem bers was ` 20 and the reg is tra tion fee for newmem bers was ̀ 25. If the to tal re ceipts from reg is tra tionwere ` 5500, did more ex ist ing mem bers than newmem bers pay the reg is tra tion fee?I. Registration receipts from existing members were

` 500 greater than receipts from new members.II. The seminar had as many speakers as the number of

members who attended it.

133. What is the rate in cu bic cm per min ute, at which wa teris flow ing into a cer tain rect an gu lar tank?I. The height of the water in the tank is increasing at

the rate of 2 cm per minute.II. The capacity of the tank is 216 cubic cm.

134. A com mit tee mem ber W wants to sched ule a one-hourmeet ing on Thurs day for him self and three othercom mit tee mem bers, X , Y and Z. Is there a one-hourpe riod on Thurs day that is open for all four mem bers?I. On Thursday W and X have an open pe riod from

9:00 am to 12:00 noon.II. On Thursday Y has an open pe riod from 10:00 am to

1:00 pm and Z has an open pe riod from 8:00 am to11:00 am.

Andhra ICET MBA—Complete Success Package 27

135. If X and Y are in te gers be tween 10 and 99, bothin clu sive, is ( )/X Y- 9 an in te ger ?I. X and Y have the same two dig its, but in re verse

or der.II. The tens digit of X is 2 more than the units digit and

the tens digit of Y is 2 less than the units digit.

136. If X and Y are pos i tive in te gers and X is a mul ti ple of Y,is Y = 2 ? I. Y ¹ 1

II. X + 2 is a multiple of Y.

137. What is the value of n ? I. n n n( ) ( )- - =1 2 0

II. n n2 6 0+ - =

138. Prakash and Suraj are in a line to pur chase tick ets. How many peo ple are in the line? I. There are 20 people behind Prakash and 20 people in

front of Suraj.II. There are 5 people between Prakash and Suraj.

139. From 1984 to 1987, the value of for eign goods con sumedan nu ally in the Wa ter Land in creased by what per cent?I. In 1984 the value of foreign goods consumed

constituted 19.8% of the total value of goodsconsumed in the Water Land that year.

II. In 1987 the value of foreign goods consumedconstituted 22.7% of the total value of goodsconsumed in the Water Land that year.

140. What is the value of the pos i tive in te ger n ?I. n4 25< II. n n¹ 2

141. Is the av er age (arith me tic mean) of X and Y greater

than 20?

I. The average (arithmetic mean) of 2X and 2Y is 48.II. X Y= 3

142. Mohan’s bucket can hold a max i mum of how many litres

of wa ter?

I. The bucket currently contains 9 L of water.II. If 3 L of water are added to the bucket when it is half

full of water, the amount of water in the bucket willincrease by 1/3rd.

143. The to tal ca pac ity of pro duc tion for two types of toys is

20000 unit. Us ing a to tal of 50 tonne of ma te ri als for

pro duc tion of both types of toys and op er at ing at full

ca pac ity, what is the pro duc tion of the type 1?

I. The rate of consumption of material for type 1 is 2 kgof material per toy.

II. The rate of consumption of material for type 2 is 3 kgof material per toy.

144. If X, Y and Z are pos i tive, is XY

Z=

2?

I. ZY

X Z=

+II. Z

Y

X=

145. If 1 2< <d , is the tenth’s digit of the dec i malrep re sen ta tion of d equal to 9 ?I. d + <001 2. II. d + >005 2.

146. If k and n are in te gers, is n di vis i ble by 7 ?I. n k- =3 2 II. 2 4k - is divisible by 7.

147. If °rep re sents one of the op er a tions + -, or ,́ is k° ( ) ( ) ( )1 1+ = ° + °m k k m for all dif fer ent nat u ral num bers k, 1 and m ?I. k° 1 is not equal to 1° k for some num bers k.

II. ° represents subtraction.

Di rec tions (Q. Nos. 148 to 150) Each of the given ques tions is fol lowed by two state ments, I and II. An swereach ques tion us ing the fol low ing in struc tions. Mark youran swer as [MPMET 2007](a) if statement I alone is sufficient to solve the question,

but statement II alone is not(b) if statement II alone is sufficient to solve the question,

but statement I alone is not(c) if neither statement I nor statement II is individually

sufficient to solve the question, but a combination ofboth is sufficient to solve the question

(d) if both the statements I and II are individually sufficient to solve the question

148. What was Priya’s score on the fourth phys ics test shetook ?I. Her score on the fourth test was 12 points higher

than her average (arithmetic mean) score on the first three tests she took.

II. Her score on the fourth test raised her average(arithmetic mean) test score from 87 to 90.

149. If digit h is the hun dredths’digit in the dec i mal d h= 02 6. , what is the value of d rounded to the near esttenth?I. d < 1 4/ II. h < 5

150. Is f f-æ

èç

ö

ø÷ <

1

21( ) ?

I. f x( ) = ´ +2 2 1 if x ³ 1 ,

= +2

1x

if 0 1< <x , = 2| |x if x £ 0.

II. f x x( ) | |= for all x.

Di rec tions (Q. Nos. 151 to 153) Each of the given ques tions is fol lowed by two state ments, I and II. An swereach ques tion us ing the fol low ing in struc tions. Mark youran swer as [MPMET 2007]

(a) if the question can be answered by using statement Ialone but not by us ing II alone.

(b) if the question can be answered by using statement IIalone but not by us ing I alone

(c) if the question can be answered by using eitherstatement alone

(d) if the question can be answered by using both thestatements together but not by either statement alone

151. A to tal of 774 doc tor ates in Math e mat ics were granted to United States cit i zens by Amer i can uni ver si ties in the1972-1973 school year and W of these doc tor ates in the1986-1987 school year was 362 and w of these weregranted to women. If the num ber of doc tor ates inMath e mat ics granted to fe male cit i zens of the UnitedStates by Amer i can uni ver si ties de creased from the1972-1973 school year to the 1986-1987 school year, wasthe de crease less than 10%? I. 1/10 < w/774 < 1/19 II. W w= + 5

28 Analytical Ability : Data Sufficiency

152. If A is an in te ger be tween 23 and 71, then what is thevalue of A ?I. One of A’s dig its is 2 more than the other and the

sum of its dig its is 8.II. A is a prime num ber.

153. If x y+ > 0, is x y>| |? I. x y> II. y < 0

Di rec tions (Q. Nos. 154 to 163) Each of the givenques tions is fol lowed by two state ments I and II. An swereach ques tion us ing the fol low ing in struc tions. Mark youran swer as [MPMET 2007](a) if statement I alone is sufficient to solve the question, but

statement II alone is not(b) if statement II alone is sufficient to solve the question, but

statement I alone is not(c) if neither statement I nor statement II is individually

sufficient to solve the question, but a combination of bothis sufficient to solve the question

(d) if both the statements taken together are not sufficientand more information is required to solve the question

154.1 1 1 1

a b c d, , , and

1

e are in har monic pro gres sion. Is d

pos i tive? I. e > 0 II. a, b are neg a tive.

155. Two cars, S and T, each trav elled a distance of 50 km.Did car S use more petrol than car T ?I. Cars S and T trav elled the en tire dis tance at the

rates of 55 km/h and 50 km/h respectively.II. For the entire distance, car S trav elled 20 km/L of

petrol and car T trav elled 25 km/L of petrol.

156. If Jai’s and Kishore’s an nual sal a ries in 1985 were each10% higher than their re spec tive an nual sal a ries in1984, what was Jai’s an nual sal ary in 1984?I. The sum of Jai’s and Kishore’s annual salaries in

1984 was ` 50000.II. The sum of Jai’s and Kishore’s annual salaries in

1985 was ` 55000.

157. What per cent marks did Ram get in a test of sub jects?I. Ram got 90 in English and 84 in Maths.

II. Ram got 75 in Hindi and 76 in Sanskrit.

158. Each of the eggs in a bowl is dyed red or green or blue. Ifone egg is to be re moved at ran dom, what is theprob a bil ity that the eggs will be green ? I. There are 5 red eggs in the bowl.

II. The probability that the egg will be blue is 1/3.

159. If XY < 3, is X < 1 ?I. y > 3 II. x < 3

160. If x > 0 , what is the value of f g x( ) ( ) in terms of g x( ) ? [ ( )g x is an iden tity func tion].I. f ( )2 4= II. f ( )3 5=

161. How many news pa pers were sold at a cer tain news stand to day?I. A total of 100 newspapers were sold at the

newsstand yesterday, 10 fewer than twice thenumber sold today.

II. The number of newspapers sold at the newsstandyesterday was 45 more than the number sold today.

162. A cer tain ex press way has ex its J, K, L and M, in thator der. What is the road dis tance from exit K to exit L ?I. The road distance from exit J to exit L is 21 km.

II. The road distance from exit K to exit M is 26 km.

163. How much did a cer tain tele phone call cost ?I. The call lasted 53 min.

II. The cost for the first 3 min was 5 times the cost foreach additional minutes.

Di rec tions (Q. Nos. 164 to 167) Each of the

following ques tion is fol lowed by two state ments, I and II.

An swer each ques tion us ing the fol low ing in struc tions. Mark

your an swer as [OJEE 2009](a) if statement I alone is sufficient to answer the question

but statement II alone is not sufficient.(b) if statement II alone is sufficient to answer the question,

but statement I alone is not sufficient.(c) if the two statement taken together are sufficient to

answer the question, but neither statement alone issufficient.

(d) if each statements alone is sufficient to answer thequestion.

164. There are 120 sap lings to be planted in an or chard.Ramesh and Sridhar work ing to gether with out breakcan com plete the job in 6 h. How long would it takeRamesh work ing alone to com plete the job ?I. Sridhar plants 3 saplings in the time it takes

Ramesh to plant 2.II. Sridhar working alone would take 10 h to do the job.

165. An Uni ver sity has 2000 fac ulty mem bers all of whomhave a mas ter’s de gree, and some of whom also have adoc tor ate. 35% of the fac ulty mem bers are fe males.What frac tion of the fac ulty mem bers are fe maledoc tor ate holders ?I. 20% of the male faculty members a doctorate.

II. A total of 1140 faculty members have only a master’sdegree.

166. What is the value of x ?I. x - =3 2

II. x2 25=

167. If the av er age size of 3 bank ac counts is ̀ 1 mil lion, is the small est ac count less than ` 500000 ?I. The largest account is ` 1.3 million.

II. One of the accounts is ` 0.7 million.

Di rec tions (Q. Nos. 168 to 172) Each of the givenques tions is fol lowed by two state ments, I and II. An swereach ques tion us ing the fol low ing in struc tions. Mark youran swer as [OJEE 2008](a) if statement I alone is sufficient to solve the question, but

statement II alone is not(b) if statement II alone is sufficient to solve the question, but

statement I alone is not(c) if neither statement I nor statement II is individually

sufficient to solve the question, but a combination of bothis sufficient to solve the question

(d) if both the state ments I and II are in di vid u ally suf fi cientto solve the ques tion

Andhra ICET MBA—Complete Success Package 29

168. The com mon ad mis sion test for MBA com prised of threesec tions. What is the to tal num ber of ques tions inthe test?I. The product of the numbers of questions in each

section is 35351.II. Number of questions in each section is greater

than 20.

169. In a school elec tion, if each of the 900 vot ers voted forei ther A or B (but not both), what per cent of the fe malevot ers in this elec tion voted for B ?I. 80% of the female voters voted for A.

II. 60% of the male voters voted for B.

170. If X and Y are in te gers, then what is the value of Y ?I. XY = 27 II. X Y= 2

171. If r and s are in te gers, is r di vis i ble by 7?I. The product rs is di vis i ble by 7.

II. s is not di vis i ble by 7.

172. What is the area of the tri an gle be low?

I. a x b x= =, 2 and c x= 3 .II. The side opposite a is 4 and the side op po site b is 3.

Di rec tions (Q. Nos 173 to 179) Each of the given

ques tions is fol lowed by two state ments, I and II. An swer

each ques tion us ing the fol low ing in struc tions. Mark your

an swer as [OJEE 2008]

(a) if statement I alone is sufficient to answer the questionbut statement II alone is not sufficient

(b) if statement II alone is sufficient to answer the questionbut statement I alone is not sufficient

(c) if the two statements taken together are sufficient toanswer the question, but neither statement alone issufficient

(d) if each statement alone is sufficient to answer thequestion

173. Sup pose 3 4 11x y+ = . Then what is the value of y ?I. X is prime.

II. y x= -2

174. A sky bag was ini tially listed at a price that would havegiven the store a profit of 20% of the whole sale cost.What was the whole sale cost of the sky bag? I. After reducing the asking price by 10%, the sky bag

sold for a net profit of 10 dollars.II. The sky bag sold for 50 dollars.

175. Is the prod uct of a and b greater than 60? I. The sum of a and b is greater than 60.

II. Each of the variables is greater than 2.

176. Is x an in te ger?I. x3 is an integer. II. 3x is an integer.

177. What is the value of A, if A and B are two dis tinctin te gers and their prod uct is 30 ?I. A is an odd in te ger.

II. A B>

178. If a, b, c and d are all pos i tive num bers, is the value of a b- greater than the value of c d- ?I. a d b c+ = +

II. a and b are each greater in value than ei ther c or d.

179. What is the value of A ?

I.3

23A B+ =

II.3

22B A+ =

Directions (Q. Nos. 180 to 182) Each of theseques tions con sists of a ques tion and two state mentsnum bered I and II.You have to de cide whether the datapro vided in the state ments are suf fi cient to an swer theques tion. Read both the state ments give your answer

[KMAT 2009](a) if the data in statement I alone is sufficient to answer the

question but the data in statement II alone is notsufficient to answer the question

(b) if the data in statement II alone is sufficient to answer the question but the data in statement I alone is not sufficient to answer the question

(c) if the data in either statement I or statement II alone issufficient to answer the question

(d) if the data even in both statements I and II together is notsufficient to answer the question but still more data isneeded

180. On which day of the week, did A meet with anaccident ? I. A was relleased from hospital on Friday, three days

after he met with the accident.II. A was travelling on a scooter on Tuesday ?

181. A is shorter than B, C is taller than D, who is shortestamong them ?I. A is shorter than D.

II. A is taller than C.

182. What will be the total weight of 10 poles each of sameweight?I. One fourth of the weight of a pole is 5.

II. The total weight of three poles is 20 kg than the totalweight of two poles.

30 Analytical Ability : Data Sufficiency

a°

b° c°