tcs 2011with solutionsabc

7/31/2019 tcs 2011with solutionsabc

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TCSSAMPLE QUESTIONS

For students preparation(New Test Pattern 2010 onwards)


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TCS pattern since year 2010 has changed.From this year onwards the new patternhas been followed .In the new pattern 35questions have to be answered in 60

minutes time. However the significantdifference is that the English part (verbal,synonyms) has been deleted in the new

test pattern; though readingcomprehension is likely to continue thetest is named TOUCHSTONE.


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Some notable points

TCS test is computer based test.

Each student will get unique questions asrandom questions will pop-up- on computer

screen - so do not copy. There will be negative marking so do not

guess. Answer the question only if you are morethan 80% sure of the correctness of the answer.

You are allowed to use calculators, but notmobile phones.

Carry HB pencils, eraser, coloured pencils etc.for answering analytical reasoning questions

rough work.


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In the new test pattern questions are equally

divided amongst the three/ four types as listedbelow:

a) Quantitative Ability about 15 questions.

b) Logical Reasoning about 10 questions.

c)Analytical Reasoning about 5 questions.

d) Reading comprehension about 5 questions.


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Some sample questions arediscussed in this presentation

to facilitate the preparation ofstudents. First let us take thequantitative questions which

can be typified to some extent.


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Quantitative 1: Simple Trigonometry

Q1) If cosec 18= sec A, then the measure of A

is________

a) 18 b) 108c) 72 d) None of these

Ans: c) 72


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SOLUTION

Cosec 18 = Cosec (90 72)

As, Cosec (90) = Sec

Cosec (90 72) = Sec 72Sec 72 = Sec A

Hence, A = 72


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Quantitative 2 : Problem of Ages

Q2) After 2 years, Paul will be 2 times as old asAlice. Presently he is 4 times as old. What isthe present age of Paul?

a) 1 year b) 4 years

c) 2 years d) None of these

Ans: b) 4 years


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SOLUTION

Let present age of Paul be x yrs

and that of Alice be y yrsAccording to condition no. 1

x + 2 = 2 (y + 2)

x 2y = 4 2

x 2y = 2 -----(i)


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According to condition no. 2

x = 4y

Substituting x in equation (i)

4y 2y = 2

2y = 2

Hence, y = 1 years

x= 4 years


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Quantitative 3 : Mensuration

Q3) A vessel is in the form of a hollow cylindermounted on a hollow hemisphere. Thediameter of the hemisphere is 14 cms and thetotal height of the vessel is 30 cms . Find theouter surface area of the vessel. (take = 22/7)

a) 1628 cm b) 1528 cm

c) 1474 cm d) None of these

Ans: c) 1474 cm


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d = 14 cm

r = 7 cm

Height of the cylinder = 30 7 = 23 cmOuter Surface Area of the Vessel = curved

surface area of hemisphere+ curved

surface area of cylinder + r (top

surface)

= 2 r + 2rh + r

= r (2 + 2h + r)

= 22/7 * 7 ( 2*7 +2*23 + 7)

= 22 (14 + 46 + 7)

= 22 * 67

= 1474 cm

SOLUTION


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Quantitative 4 : Linear Equation

Q4) A telephone company charges 80 paisa/ min

for first 80 min of talk , 70 paisa/ minsubsequently up to 130 min and 55 paisa/min

beyond 130 min. What would be the amount

paid by a subscriber who has used a total of110 min of talk time?

a) Rs. 85 b) Rs. 108.

c) Rs. 64 d) None of these

Ans: Rs. 85


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SOLUTION

Total Charges

= (80 min x 80p) + (30 min x 70p)

= 6400p + 2100p

= 8500p = Rs. 85


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Quantitative 5: Linear Equation

Q5) (2/3rd) of a number is 4 more than (1/6th) of

the same number. What is the number?

a) 6 b)8

c)36 d)24

Ans: b) 8


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SOLUTION

Let number be x

Then 2/3x = 1/6x + 4

2/3x 1/6x = 4[(4-1)/6] x = 4

3x/6 = 4

x = 4x6/3 = 8


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Quantitative 6 : ProbabilityQ6) Paul the octopus who has been forecasting the

outcome of FIFA world cup matches with tremendous

accuracy has now been invited to predict ICC world cupmatches in 2011. We will assume that the world cup

contenders have been divided into 2 groups of 9 teams

each. Each team in a group plays with the other teams

in the group. The top two teams from each group enterthe semi finals ( after which the winner is decided by

knockout).

However, Paul has a soft spot for India and when India

plays with any team, Paul always backs India. Alas, his

predictions on matches involving India are right only 2

out of 3 times. In order to qualify for the semi finals, it is

sufficient for India to win 7 of its group matches. What isthe robabilit that India will win the ICC world cu ?


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6(b)

a) (2/3)^10

b) (2/3)^9 + 8/3 * (2/3)^9

c) 1/3 * (2/3)^9

d) (2/3)^10 + 8/3*(2/3)^9

Ans: c) 1/3 * (2/3)^9


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SOLUTION

1. To win semifinals India needs to win 7 matches and

can loose one.

2. To win a match probability = 2/3

3. Probability of loosing a match = 1/3

4. To qualify for semifinals India needs to win 7 matches

the probability of which is (2/3)

5. For India to reach the semifinals the probability is

(2/3) x 1/3.

6. Now, to further win semifinals and final bothprobability is 2/3 X 2/3.

7. Therefore overall probability of India wining =

(2/3) x 1/3 x 2/3 x 2/3 = (2/3) x 1/3.


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Note:

I. If India wins all the matches i.e. 8+2=10

matches, probability = (2/3)10

2. The key is that for reaching semi finals India

has to win only 7 matches out of 8 and can

afford to loose one.


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Quantitative 7 : ProbabilityQ7) A toy train produces 10 different tunes when

it moves around a circular toy track of radius 5

meters at 10 meters per minute. However , the

toy train is defective and it now produces only

two different tunes at random. What are the

odds that the toy train produces 4 consecutivemusic tunes of the same type?

a) 1 in 16 b) 1 in 4

c) 1 in 8 d) None of these


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7(b)

Ans: a) 1 in 16


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SOLUTION

A toy train produces 10 different tunes in the

normal course

But now as the toy train has become

defective, it produces only 2 different tunes;

so the probability of producing any one tune is

.

Probability of producing 4 consecutives same

tunes = x x x = 1/16 or 1 in 16


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Quantitative 8 : ProbabilityQ8) Six friends decide to share a big cake. Since all of

them like the cake, they begin quarreling who getsto cut the cake first and have a piece of the cake.One friend suggests that they can make a blindfoldfriend choose from well shuffled set of cards

numbered one to six. You check and find that thismethod works as it should simulating a fair throw ofa die. You check by performing multiplesimultaneous trials of picking the cards blindfold

and throwing a die. You note that the numbershown by the method of picking up a card andthrowing a real world die, sums to a numberbetween 2 and 12. Which total would be likely toappear more often 8,9 or 10?


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8(b)

a) 8 b) 10

c) 9 d) All are equally likely

Ans: a) 8


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SOLUTION

Sum making up to number 8 in one set of throw

of die and picking up the card, probable sets

are = (2,6), (6,2), (4,4), (5,3), (3,5) = Total 5 sets

Sums making up to number 9, probable sets are =

(4,5), (5,4), (6,3), (3,6) = Total 4 sets

Sums making up to number 10, probable sets are

= (5,5), (6,4), (4,6) = Total 3 sets

So probability of 8 would be the maximum

appearing more often than others


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Quantitative 9 : ProbabilityQ9) A lady has fine gloves and hats in her

closet- 18 blue- 32 red and 25 yellow gloves arethere. The lights are out and it is totally dark .Inspite of the darkness she can make out thedifference between a hat and a glove. She

takes out an item out of the closet only if she issure that it is a glove. How many gloves mustshe take out to make sure that she has a pair ofeach colour?

a) 50 b) 8c) 59 d) 42


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9(b)

Ans: c) 59


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SOLUTION

We have to consider the worst case scenario forbeing sure.

Suppose 1st she takes out all 32 Red gloves (the

maximum number possible for one colour)Then all yellow gloves which are 25 in number

And then next 2 gloves she takes out that will

definitely be of blue colorIn this way to make sure that she has a pair of

each color, she has to take out = 32 + 25 + 2 =

59 gloves.


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Quantitative 10 : Probability

Q10) There are 7 children in a family and theyoungest child is a boy. What is the

probability that all of them are boys ?

a) 1/2! b) 1/64

c) 1/128 d) 1/8

Ans: b) 1/64


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SOLUTION :

The probability of a child being boy or girl is

(assuming it is random)

The probability that all children in the family are

boys when the youngest child is a boy

= x x x x x x 1 = (1/2)^6

= 1/64


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Quantitative 11 : Number System

Q11) A number when divided by D leaves a

remainder of 3 and when divided by 3D leaves

a remainder of 21 . What is the remainder,

when twice the number is divided by 3D?

a) 15 b) 42

c) 3 d) cannot be determined

Ans: a) 15


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SOLUTION-

1. As the remainder is 21 when divided by 3D

Therefore, 3 D >21 or D>72. Let us take the next higher value

i.e. D=8 & 3D = 24

(a). The first option is number 45 (=24+21)

Divided by 24 it leaves a remainder of 21

Divided by 8 it leaves a remainder of 5

So it does not fulfill the conditions

(b). Let us try the next possibility i.e. 45+24 = 69

Divided by 24 (3D) it leaves 21 as remainder

But divided by D = 8, it leaves 7 as the remainder

so it does not fulfill the condition


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3.Let us make next trial with D=9

3D = 27

(a). Let first number be 48

Divided by 3D = 27 it leaves 21 as

remainder

Divided by D=9 it leaves 3 as remainder

So 9 is the desired number D

Let us now divide double the number i.e.

96 by 3D = 27 remainder is 15

So a= 15 is the correct answer


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Quantitative 12 : Permutation and

Combination

Q12) Alok is attending a workshop How to do morewith less and today's theme is Working with fewer

digits. The speakers discuss how a lot of miraculous

mathematics can be achieved if mankind (as well as

womankind) had only worked with fewer digits.

The problem posed at the end of the workshop is

How many four digit numbers can be formed using

the digits 1, 2,3,4 ,5 ( but with repetition) that aredivisible by 4?

Can you help Alok find the answer?


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12 (B)

a)100 b) 125

c) 75 d) 85

Ans: b) 125


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SOLUTION

A number to be divisible by 4 the last 2 digits

should be divisible by 4

To fill the last two digits that are divisible by 4

are (1,2), (2,4), (3,2), (4,4), (5,2)

Therefore there are 5 possibilities.

And the rest 2 digits can be filled in P ways.

So total there are 5*5*5 ways = 125 ways

Q i i 13 P i d


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CombinationQ13) A research lab in Chennai requires 100 mice and 75

sterilized cages for a certain set of laboratoryexperiments. To identify the mice, the lab hasprepared labels with numbers 1 to 100 , by combiningtags numbered 0 to 9. The SPCA requires that the tags

be made of toxin-free material and that thetemperature of the cages be maintained at 27 degreeCelsius. Also , not more than 2 mice can be cagedtogether and each cage must be at least 2 sq. ft inarea. The 5 experiments to be conducted by lab are to

be thoroughly documented and performed only after around of approval by authorities. The approvalprocedure takes around 48 hours. How many times atag having number '4' is used by the lab in numberingthese mice?


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13(b)

a) 9 b) 19

c) 20 d) 21

Ans: b) 19


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SOLUTION

Tag having number '4 are as follows

4, 14, 24, 34, 44, 54, 64, 74, 84, 94

40, 41, 42, 43, 45, 46, 47, 48, 49

So a total of 19 times.


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combination

Q14) 20 people meet and shake hands. What is themaximum number of hand shakes possible if there

is to be one cycle of handshakes { a cycle of

handshake is a sequence of people (a1,a2,..ak)

such that people (a1,a2),(a2,a3)..(a(k-1),ak),(a20,a1) shake hand}

a) 18 b) 19c) 20 d) 21

Ans: c) 20


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1 23

4

5

6

7

8

17

16

15

14

131112

10

9

18

19

20

To make a complete cycle number of

handshakes required is 20

SOLUTION


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Quantitative 15 : Time and Distance

Q15) On planet korba, a solar blast has melted the icecaps on its equator. 9 years after the ice melts, tinyplanetoids called Echina start growing on the rocks.Echina grows in the form of a circle ,and therelationship between the diameter of this circle and

the age of echina is given by the formulad = 4 (t-9) for t 9

where d represents the diameter in mm and t thenumber of years since the solar blast.

Jagan recorded the radius of some echina at aparticular spot as 7mm. How many years back didthe solar blast occur?

15(b)


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15(b)

a) 17 b) 21.25c) 12.25 d) 12.06

Ans: b) 21.25


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SOLUTION

The relationship between the diameters of the circleand the age of Echina is given by the formula

D = 4 x (t 9) for t>=9

If radius r is 7 mm then diameter = 7 x 2 = 14 mm

14 = 4 x (t 9)14/4 = (t 9)

7/2 = (t 9)

squaring both sides

49/4 = (t 9)

So t = 21.25


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Q16) Ferrari S.P.A is an Italian sports carmanufacturer based in Maranello, Italy. Founded byEnzo Ferrari in 1928 as Scuderia Ferrari , thecompany sponsored drivers and manufactured race

cars before moving into production of street-legalvehicles in 1947 as Ferrari S.P.A. Throughout itshistory, the company has been noted for itscontinued participation in racing, especially inFormula One where it has enjoyed great success .

Rohit once bought a Ferrari . It could go 4 times asfast as Mohan's old Mercedes. If the speed ofMohan's Mercedes is 46 km/hr and the distancetraveled by the Ferrari is 953 km, find the total timetaken for Rohit to drive that distance.

Quantitative 16 : Time andDistance


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16(b)

a) 20.72 hr b) 5.18 hrc) 238.25 hr d) 6.18 hr

Ans: b) 5.18 hr

SOLUTION


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Speed of Mohan's Mercedes = 46 km/hr

Speed of Rohits Ferrari = 4 times of Mohan's Mercedes

= 4 * 46 km/hr

= 184 km / hr

Distance = 953 kmTime taken by Rohits Ferrari = Distance / Speed

= 953 km/ 184 km/hr

= 5.18 hrsThe total time taken for Rohit to drive that distance will

be 5.18 hrs

SOLUTION


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Quantitative 17 : Pipes and CisternsQ17) There are two water tanks A and B, A is much

smaller than B. While water fills at the rate of one litreevery hour in A, it gets filled up like 10, 20, 40, 80, 160...Litres per hour in tank B.( At the end of first hour, B gets10 litres , second hour it gets 20 litres more, and so on). Iftank B is 1/33 filled after 5 hours, what is the time stillrequired (in hours) to fill it completely?

a) 26 hrs b) 25 hrs

c) 5 hrs d) 27 hrs

Ans: c) 5 hrs


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The data has been shown in the form of a table

Hours Water filled in B

in that hr (in lts)

Cumulative Water filled

in B (in lts)

1 10 10

2 20 303 40 70

4 80 150

5 160 310

SOLUTION


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After 5 hrs the tank is 1/33 filled which is 310liters

So applying unitary method

When 1/33 is equal to 310 lts

Therefore, the total capacity of tank B will be

= 310 lts * 33

= 10230 lts

L t t t th h t f th


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Therefore, after 5 more hours the tank B will be

completely filled

Hours Water filled in B

in that hr (in lts)

Cumulative Water filled in

B (in lts)

1 10 10

2 20 30

3 40 70

4 80 150

5 160 310

6 320 630

7 640 1270

8 1270 2550

9 2560 5110

10 5120 10230

Let us construct the chart further


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Quantitative 18 : Ratio and Proportion

Q18) A researcher at Sony Computer Science

laboratories is also a jazz musician. He decided to

build a robot able to improvise like a pro. Named

Continuator, the robot can duet with a livemusician in real- time. It listens to a musical phrase

and then computes a complementary phrase with

the same playing style. If the cost of making the

robot is divided between materials , labour andoverheads in the ratio of 4:6:2 and if the materials

cost $108. What is the cost of the robot?

18(b)


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18(b)

a) $270 b) $324c) $216 d) $ 648

Ans: b) $ 324


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SOLUTION

Ratio = 4:6:2

Let x be the total cost

Since, the cost of material = 108$

Which was equal to

4/(4+6+2) * x = 108 $

Therefore, x = 324 $

Q tit ti 19 R ti d P ti


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Quantitative 19 : Ratio and Proportion

with Linear Equations

Q19) In the year 2002, Britain was reportedto have had 4.3million closed circuittelevision (CCTV) cameras one for every14 people in the country . This scrutiny issupposed to deter and detect crime. In onecriminal case, the police interrogates two

suspects . The ratio between the ages ofthe two suspects is 6:5 and the sum of theirages is 55 years. After how many years willthe ratio be 8:7.?

19(b)


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19(b)

a) 11 b) 6c) 10 d) 5

Ans: c) 10


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SOLUTION

Since, the ratio of ages is 6:5

Therefore, ages can be 6x and 5x6x+5x= 55 years

x= 5

The two ages will be 30 years and 25 years

New ratio = 8:7No. of years required = 30+y = 8

25 +y 7

On solving y = 10 yearsAfter 10 years the ratio between their ages will be8:7.

Quantitative 20 : Average speed


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Quantitative 20 : Average speed

Q20) A man jogs at 6 mph over a certainjourney and walks back the same route at 4mph. What is his average speed for thejourney?

a) 4 mph b) 5 mph

c) 2.4 mph d) 4.8 mph

Ans: d) 4.8 mph


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SOLUTION

Average speed = 2xy or (Total Distance)

x+y Total Time

x = 6 mph

y= 4 mph

Average speed = 2*6*4

6 + 4

= 4.8 mph

Quantitative 21 : Simplification


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Q21) Spores of a fungus, called late blight, grow and

spread infection rapidly. These pathogens wereresponsible for the Irish potato famine of the mid-

19th century. These seem to have attacked the

tomato crops in England this year. The tomato crops

have reduced and the price of the crop has risen up .The price has already gone up to $45 a box from $27

a box a month ago. How much more would a

vegetable vendor need to pay to buy 27 boxes this

month over what he would have paid last month?


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21(b)

a) $27 b) $ 18

c) $45 d) $ 486

Ans: d) $ 486


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SOLUTION

Difference in two prices = $ 45 - $ 27

= $ 18

Amount that the vendor needs to pay to buy 27

boxes this month over what he would have

paid last month = $ 18 * 27

= $ 486


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Q22) (40*40*40 31*31*31) = ?

(40*40+40*31+31*31)

a) 8 b) 9c) 71 d) 51

Ans: b) 9

SOLUTION


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SOLUTION Let x be 40 and y be 31

(40*40*40 31*31*31) / (40*40+40*31+31*31)

Is in the form of x3 - y3

x2 + xy + y2

= (x2 + xy + y2 ) ( x y)

x2 + xy + y2

= ( x y)= 40 31

= 9

Quantitative 23 : Cubes


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Quantitative 23 : Cubes

Q23) Susan made a block with small cubes of 8

cubic cm volume to make a block 3 smallcubes long, 9 small cubes wide and 5 small

cubes deep. She realizes that she has used

more small cubes than she really needed. Sherealized that she could have glued a fewer

number of cubes together to look like a block

with same dimensions, if it were made hollow.

What is the minimum number of cubes that

she needs to make the block?


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23(b)

a) 114 b) 135

c) 21 d) 71

Ans: a) 114


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SOLUTION

Total number of cubes used = 3 * 9 * 5 = 135Number of cubes required to make a hollow

cube

= (3*9*5)- (1*7*3)= 135 -21

= 114

3

5

91

7

3


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Note: Only two outer cubes on either end facewill make the faces, so inner blocks can be

removed to make a hollow or 1*7*3= (3-2)(9-

2)(5-2) blocks can be removed from inside tomake it hollow.


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Quantitative 24 : Co-ordinate Geometry

Q24) Determine the distance between x-intercept and z-intercept of the plane whereequation is 6x+8y-3z=72.

a)3 b)26.83

c)9 d)25.63

Ans: b) 26.83

SOLUTION


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SOLUTION 6x+8y-3z=72

x + y - z = 172/6 72/8 72/3

X- intercept = (72/6, 0, 0)

= (12, 0, 0)

Y- intercept = (0, 0, -72/3)

= (0, 0, -24)

Distance between x-intercept and z-intercept of the

plane = *( x1- x2)2

+ (y1-y2)2

+ (z1-z2)2

]=*( 12- 0)2 + (0-0)2 + (0+24)2]

= 26.83

Or simplify (x+z )= (12+ 24) = 26.83

Quantitative 25 : Co ordinate


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Quantitative 25 : Co-ordinate

Geometry

Q25) The vertices of ABC are point A (1,2), B(4,6),C(-4,12). Which of the following is true?

a) ABC is not a right angled b) It is a right angled with right angle at C

c) It is a right angled with right angle at B

d) It is a right angled with right angle at A

Ans: c) It is a right angled with right angle at B

SOLUTION


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SOLUTION

Side AB = *(4-1)2 + (6-2)2 ]

= 5 units

Side BC = * (-4-4)2 + (12-6)2 ]

= 10 unitsSide CA = * (1+4)2 + (12-2)2 ]

= 125 units

For a right-angled triangle

H2=p2+b2(125)2=102 +52

CA2 = AB 2+BC2

Hence it is right angled at B

Quantitative 26 :Time and Work


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Quantitative 26 :Time and WorkQ26) A seamstress buys a certain amount of Gingham

cloth which comes in rolls that are exactly 56 inches

wide. She has also bought a certain length of Seek

sucker cloth which is 35 inches wide. The seamstress

first focuses on the Gingham roll and discovers that

she has 116 yards of Gingham and she wants todivide the gingham into 116 lengths of 1 yard each.

She wants to have twice as many pieces of seek

sucker as she does of the Gingham. It takes 4

seconds to cut each length of Gingham. Workingnon-stop, how long (in seconds) will it take her to cut

all the 116 pieces?

26(b)


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( )

a) 464 secs b) 460 secsc) 463 secs d) 465 secs

Ans: b) 460 secs


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SOLUTION

It takes 4 seconds to cut each length ofGingham

So to cut 116 pieces, total time required

= (116-1) * 4

= 460 sec

Quantitative 27 : Arithmetic


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Quantitative 27 : Arithmetic

Progression

Q27) A long thin strip of width 7 cm is kept on aflat surface. Another identical strip is kept onit in an overlapping manner such that the

combined width of the two is 11 cm. What isthe width of 55 such strips kept like this?

a) 224 b) 223

c) 225 d) None of these

Ans: b) 223

SOLUTION


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74 4

7+4+4+4+.+4 = 454+7 = 223

SOLUTION

7

Quantitative 28 : Averages


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Quantitative 28 : Averages

Q28) Six persons with different ages are

standing in a queue. After two years theiraverage age will be 43 years. A seventh person

joins them. The current average age has now

become 45 years. Find the age of seventhperson (in years)?

a) 55 years b) 59 years

c) 69 years d) None of theseAns: c) 69 years


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SOLUTION

Present average age of group = 43-2 = 41 years When 7th person joins the average = 45 years

Total age of 7 people = 41*6 + x

Where x is the age of the 7th person joining thegroup

Average = total/ number of observations

45 = (246 +x) / 7

On solving

X= 69 years


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Quantitative 29 : Heights & distance

Q29) Two vertical poles of heights 6m and 11m standon a plane ground. The distance between their feet is12m. A rope is tied tightly from the top of one pole

to the top of the other. Find the length of the rope(round off)?

a) 14m b)13m

c) 15m d) None of these

Ans: b) 13m

SOLUTION


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A2

+ B2

= H2

144 + 25 = 169

H = 13 m

Therefore, Length of rope = 13 m

12 m11 m

5 m

12 m

6 m

SOLUTION



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with Trigonometry

Q 30) Standing on top of a high building, I measure

an angle of elevation of a building 25 metres away as

45 degrees. The angle of depression of the ground

level of the same building is also measured as 45degrees. How tall is that building?

a) 10m b) 20m

c) 25m d) 50m

Ans: d) 50m

S l tiC


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Since Angle of Elevation =

45oTan 45 = p / b = BC/OB = 1

p/25= 1

Therefore, P = 25m Similarly

AB = 25mTotal Height of the taller

building = AB + BC = 25m +

25m = 50m

Solution

45o

25

C

----------------------------------

45o

25

25B

A

O

Logical reasoning-1


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Logical reasoning 1Q31) One day Alice meets Pal and Byte in

fairyland. She knows that Pal lies on Mondays,Tuesdays and Wednesdays and tells the truth onthe other days of the week .Byte, on the otherhand, lies on Thursdays, Fridays and Saturdays,

but tells the truth on the other days of the week.Now they make the following statements to Alice

Pal: Yesterday was one of those days when Ilie.

Byte: Yesterday was one of those days when Ilie too.

What day is it ?

1(b)


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(b)

a) Thursday b) Tuesday

c) Monday d) Sunday

Ans: a) Thursday

SOLUTION


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SOLUTION

Mon Tues Wed Thurs Fri Sat Sun

Alice

Pal

Logical Reasoning 2


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Logical Reasoning-2Q32) Rearrange the following letters to make a

meaningful word and choose from the optionsgiven, the category in which it lies. RAPETEKA

a) Bird b) Vegetable

c) City d) Fruit

Ans: PARAKEET. a) Bird

Logical Reasoning-3


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g g

Q33) In the reading room of a library, there are23 reading spots. Each reading spot consists ofa round table with 9 chairs placed around it.There are some readers such that in eachoccupied reading spot there are differentnumbers of readers. If in all there are 36readers, how many reading spots do not haveeven a single reader?

a) 8 b) 15c) 16 d) None of these

Ans: b) 15

SOLUTION


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SOLUTION 23 reading spots

Each reading spot consists of 9 chairs placedaround it so there are some readers such that ineach occupied reading spot there are differentnumber of readers.

Soon first table 1 person will sit.

On second table 2 person will sit

If there are 36 readers then

1+2+3+4+5+6+7+8=36

Only 8 tables will be occupied.

Therefore, 23-8=15 reading spots will not have

even a single reader.

Logical reasoning-4


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Logical reasoning 4Q34) Middle earth is a fictional land inhabited

by Hobbits, Elves, dwarves and men. TheHobbits and the Elves are peaceful creatureswho prefer slow, silent lives and appreciatenature and art. The dwarves and the men

engage in physical games. The game is asfollows . A tournol is one where out of the twoteams that play a match, the one that loses geteliminated. The matches are played in differentrounds where in every round , half of the teamsget eliminated from the tournament. If thereare 8 rounds played in a knock-out tournol howmany matches were played?

4(b)


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4(b)

a) 257 b) 256

c) 72 d) 255

Ans: d) 255

SOLUTION


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SOLUTIONRound No. of matches

played

No. of

contestants8 1 2

7 2 4

6 4 85 8 16

4 16 32

3 32 64

2 64 128

1 128 256

Total 255

L i l R i 5


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Logical Reasoning-5Q35) Consider two tumblers, the first

containing Water and second containingcoffee. Suppose you take one spoon ofwater out of the first tumbler and pour it

into the second tumbler. After stirring wellyou take one spoon of the mixture fromthe second tumbler and pour it back intothe first tumbler. Which one of the

following statement holds now?

5(b)


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( )a) There is less coffee in the first tumbler thanwater in the second tumbler.

b) There is more coffee in the first tumbler thanwater in the second tumbler.

c) There is as much coffee in the first tumbler asthere is water in the second tumbler.

d) None of the statements holds true.

Ans: d) None of the statements holds true.

Logical reasoning-6


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Logical reasoning 6Q36) A taxi driver commenced his journey from a

point and he drove 10 km towards north andturned to his left and drove another 20 km.

After meeting a friend here, he turned to hisright and continued to drive another 10 km. In

which direction is he now with respect to thestarting point?

a)West b)South

c)North d)East

Ans: c) North

SOLUTION


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SOLUTION

North

10 KM

20 KM

10 KM

Logical reasoning-7


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Q37) A school yard contains only bicyclesand 4 wheeled wagons. On Tuesday, thetotal number of wheels in the schoolyard

was 114. What would be the possiblenumber of bicycles?

a)18 b)17

c)16 d) 8

Ans: b) 17

SOLUTION


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Number of wheels in a bicycle = 2 Number of wheels in a wagon = 4

Total number of wheels =114

a) 18

If bicycles are 18 then the number of wheels inbicycle = 36

Remaining wheels = 114-36=78

Now this should be divisible by four because theremaining wheels are of wagons 78/4 = 19.5

Solution not feasible.

b)17


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b)17

Number of wheels in bicycle = 172=34

Now 114 34=80/4 = 20

c) 16

162 = 32 114-32 = 82/4 =20.5

d) 882 = 16 114-16 =98 = 24.5

Logical reasoning 8


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Logical reasoning-8

Q38) A pie is to be divided among 20people. A man eats 3 pieces, a woman

eats 2 pieces and a child eats a pieceof pie. There are 20 pieces of pie in all.What is the number of men, women &children, so that 20 people in total andeveryone gets pie as per his/herrequirement and there is no shortage orexcess of pie at the end?

8(b)


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8(b)

a) 7 women, 1 man, 12 children

b) 5 women, 1 man, 14 children

c) 4 women, 2 men, 12 children

d) None of these

Ans: b) 5 women, 1 man, 14 children

SOLUTION


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Number of People = 20

Pieces eaten by men = 3

Pieces eaten by women = 2

Pieces eaten by children =

Options Women Men Children Total no. of

Pieces

Total no. of

People

a 7(72=14) 1(13=3) 12(121/2=6) 23 20

b 5(52=10) 1(13=3) 14(141/2=7) 20 20

c 4(42=8) 2(23=6) 12(121/2=6) 20 18

Logical reasoning-9 (Direction)


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Logical reasoning 9 (Direction)

Q39) A scientist was researching on animalbehavior in his lab. He was very interested inanalyzing the behavior of bears. For somereason he traveled 1mile in north direction &

reached at North Pole. There he saw a bear. Hethen followed the bear around 1 hr with a speedof 2km/hr in east direction. After that hetraveled in south direction & reached at his lab

in 2 hrs. Then what is the color of the bear?a) Black b) Brown

c) White d) None of these

9(b)


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9(b)

Ans: c) White

Logical Reasoning-10(Series)


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g g ( )Q40) When Lucy was young her father would take his

daughter to the terrace and explain about constellationsto his daughter and then he leaves her alone in theterrace to find few of them all by herself. Lucy findsaround 25 groups of stars that appear to her asconstellations. She draws 7 patterns of the constellations

in her notebook and notes down the number of stars ineach of them. She counts 5 stars in first constellationand 15 in next. She counts a number the third time andforgets to note it down. The next four constellations she

counts are 51,53,159,161. Next day her father looks atthe notebook and wants to know the number of stars inthe third constellation. Lucy only remembers thatnumber of starts counted in each of the constellationfollowed a pattern 5, 15, x, 51, 53, 159, 161.

10(b)


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10(b)

What is the value of x?

a) 19 b) 45

c) 16 d) 17

Ans: d) 17

SOLUTION


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5 15 x 51 53 159 161

3 +2 3 +2 3 +2

Analytical reasoning-1


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Q41) Bob, Peter, Oliver and 2 girlsRaven andChelsey are to be seated in a row. Raven oftensits to left of Bob. No girl sits at extremepositions and middle positions. Peter always

sits at the extreme position. Who sits to theright of Chelsey?

a)Oliver b)Bobc)Peter/Oliver d)Peter

Ans: c)Peter/Oliver

SOLUTION


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SOLUTION

There are two possible solutions:

Peter Chelsey Oliver Raven Bob

Peter Raven Bob Chelsey Oliver

Oliver Peter



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Q42) A man is standing in front of a painting of a

man, and he tells us the following: Brothersand sisters have I none, but this mans father is

my fathers son. Who is on the painting?

a) The man himself

b) The mans son

c) The mans father

d) Cant be determined

2(b)


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2(b)

Ans: b) The mans son

SOLUTION


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SOLUTION

Father

Mans Father

Man



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Q43) There are 5 materials to make a perfume: Lilac,

Balsalmic, Lemon, Woody and Mimosaic. To make a

perfume that is in demand the following conditions

are to be followed: Lilac and Balsalmic go together.

Woody and Mimosaic go together but one of any onegroup does not go with any other of the other group

together. Lemon can be added with any material. All

of the following combinations are possible to make a

perfume EXCEPT:

3(b)


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3(b)

a) Balsalmic and Lilac

b) Woody and Lemon

c) Mimosaic and Woody

d) Mimosaic and Lilac

Ans: Mimosaic and Lilac.

SOLUTION


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SOLUTION

LILAC ----------------BALSAMIC

WOODY--------------MIMOSAIC

LEMON CAN BE ADDED TO ALL

LILAC ----------------BALSAMIC x WOODY--------------MIMOSAIC


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Directions for question 43: Read the passagegiven below and answer the questions that

follow.

Analytical Reasoning-4


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Analytical Reasoning 4Q44) In a certain society, there are 2 marriage groups,

red and brown. No marriage is permitted within agroup. On marriage, males become part of their

wifes group; women remain in their own group.

Children belong to the same group as their parents.

Widowers and divorced males revert to the group of

their birth. Marriage to more than one person at the

same time and marriage to a direct descendant are

forbidden.

4(b)


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4(b)i) A male born into the brown group may have

a) an uncle in either group

b) a brown daughter

c) a brown son

d) a son-in-law born into the red group

e) a daughter-in-law in the red group

Ans: a)


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MALE

FATHERMOTHER FATHERMOTHERS

BROTHERFATHERS BROTHER

4(c)


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4(c)

ii) Which of the following is not permitted underthe rules as stated?

a) a brown male marrying his fathers sister

b) A red female marrying her mothers brother

c) a man born red, who is now a widower,

marrying his brothers widow

d) a widower marrying his wifes sister

Ans: b)


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SOLUTION


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MALE

FATHERMOTHER FATHER

FATHERS SISTER


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Reading Comprehension-1


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Reading Comprehension 1Q45)The recent news, that local hospitals have had to reroute seriously illpatients because the community's critical-care beds are full, is worrisome.

Earlier this week, four of the six local hospitals ran out of space for thecritically ill and had to turn people away.Federal law requires hospitals to treat anyone who walks in. As a result ofhaving to treat large number of uninsured patients, the emergency roomsoften become an economic drain on their hospitals. Doctors now want toset up their own free-standing ambulatory surgical facilities and diagnosticcenters. Critics contend this would leave hospitals with less revenue and the

same number of indigents to treat. A bill was recently introduced to phaseout the need for a "certificate of public need" for non-hospital-basedfacilities, provided those facilities met stringent regulations andrequirements. This would have made it easier to set up alternative facilitiesto help indigent patients. The finance committee balked at the hefty priceand killed the bill, another casualty of a failed legislative session.Unfortunately, the problem of access to medical care for those of limited

means is not going to go away anytime soon and, despite the well-intendedregulations, full hospitals compromise everyone's welfare. Healthycompetition with small neighborhood surgical and diagnostic centers maybe what is necessary to help dampen rising medical costs. But under nocircumstances should the hospitals be forced to care for everybody withouthealth insurance while competitors operate free of the burden of caring forthose unable to pay.

1(b)


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(b)

Which of the following best describes thetone of the passage?

a) neutral

b) positivec) persuasive

d) angry

e) Reverential

Ans : c) persuasive

1(c)


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( )

Which of the following is cited as a factor which hascontributed to the overburdening of hospitals?I Failure to pass legislation which would have mitigated

the problemII Limited access to medical care for the poor

III Federal lawa) I onlyb) II onlyc) III only

d) I and IIe) I, II, and III

Ans : e) I, II, and III

1(d)


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( )

The author cites the failed legislation in order to showthat

a) the legislature will never resolve this issue.

b) the finance committee does not care about the uninsuredcitizens.

c) there will continue to be uninsured hospital patients for along time to come.

d) the legislature does not have the decision to resolve thisissue.

e) the doctors successfully lobbied the finance committee.

Ans : c) there will continue to be uninsured hospitalpatients for a long time to come.

1(e)


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Which of the following is a conclusion supported by thepassage?

a) If doctors want to run their own facilities, they should berequired to take in at least some of the indigents.

b) The government should provide health insurance forthose unable to buy their own.

c) Voters should tell the finance committee members thatthey will not be reelected if they do not pass some newlegislation.

d) Emergency rooms that turn patients away due toovercrowding are derelict in their duty .

e) The fundamental problem facing hospitals now is thathealth care costs have risen dramatically in recent years

Ans : a) If doctors want to run their own facilities, theyshould be required to take in at least some of theindigents.

SUMMARY

The pattern of the paper can be


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The pattern of the paper can besummarized as follows:

1. In Quantitative ability the followingtopics are to be covered-Simple trigonometry( sin-cosine, cot-

tan, cos-cosec)Problem of agesHeights & distancesMensuration ( rings, spheres etc.)Simple GeometryCo-ordinate GeometryNumber System ( simplification,factorization based on (a+b)2, (a+b)3)Arithmetic & Geometric Progression

Pipes & CisternsRatio & Proportion


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Ratio & ProportionAverages

Average SpeedProfit & LossCubes (volume & surface area)Simple linear equationsTime & WorkTime & DistanceProbability (atleast 3 questions willcome in each paper)Permutation & Combination (atleast 2questions will come in each paper)

2. In logical Reasoning


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Simple series ( at least one question)

DirectionsSmall puzzles

3 You may get one or two passages onAnalytical Reasoning.

4 A passage on Reading Comprehensionmay appear with 3 or 4 questions.

THANK YOU


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THANK YOU

&

WISH ALL OF YOU

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tcs 2011with solutionsabc