BU Mala Aptitude Coach [1].Com Mala 1

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Mathematical Aptitude Questions

Q.No Questions Answer

1 The value of √112 / √175 = ? 4 / 5

2 If 1 / y = √0.25 then y = ? 2

3 If X + Y = 6 and X2 - Y2 = 48, then X - Y = ? 8

4 Simplify : √0.0121 0.11

5 The value of 2√2 * 3√32 = ? 48

6 If 3X – 2 = 13 and X + Y = 4, then Y = ? -1

7 What fraction of 8 hours is 120 seconds ? 1 / 240

8 If 30% of a certain number is 12.6, then find the number? 42

9 The average of X and Y is 4. If X = 5Y, what is the value of Y ? 4 / 3

10 What number must be added to 6, 16 and 8 to attain an average of 13? 22

11 If 10 be added to 4 times a certain number, the result is 5 less thanfive times the number. The number is _____

15

12 What is the ratio of 12 minute to 1 hour ? 1 / 5



13 What will be the area of a semi-circle of 14 m diameter?(a) 22 m2 (b) 77 m2 (c)154 m2 (d) 308 m2 77 m2

14 If 2+3=10, 6+5=66, 7+2=63, 9+7=144, Then 8+4=? 96

15 2, 3, 5, 9, 17, ___ 33

16 Which of the following fraction is the largest? (a) 7/8 (b) 13/16 (c)31/40 (d) 63/80

7/8

17 10 cats ate 10 rats in 10 seconds.How many cats are required to gobble

some100 rats in 100 seconds

10 cats

18All work and No play. Little tommy was tired. He planned to sleep till

morning 10 O’ Clock. He set the alarm for 10 O’ Clock and went tosleep earlier at nine pm. When the alarm rang, tell me how longtommy would have slept?

One hour

19 64, 32, 35, 5, 22, 11, 14, ___ 2

20 A train is 1 mile long. It travels at the rate of 1 mile per minutethrough a tunnel which is also one mile long.Can you say how long it will take for the train to pass completelythrough the tunnel.

2 minutes

21 A bow and arrow cost Rs 21. The bow cost Rs 20 more than the arrow.

What shall be the price of each?

Rs20.50(bow)&

Rs 0.50(arrow

22 A man was born in 50 BC.How old was he on his birthday on 50 AD?99 yrs

23 ROME = 7248 ; MORE = _____ 4278



24 A is twice as good workman as B and together they finish a piece of work in 18 days . In how many days will A alone finish the work?

27 Days

25A man wants to reach a window which is 40 feet above the ground.

The distance from the foot of the ladder to the wall is 9 feet. Howlong should the ladder be ?

41 ft

26 A monkey starts upping a tree 30 feet tall. Each hour, it hops 3 feetand slips back 2 feet. How many hours does it take to reach the top? 28 hrs

27 200 ÷ 20 ÷ 100 0.1

28 A, C, F, J, __ o

29 A heavy tree trunk can be sawed into a 12 feet long piece in oneminute. How long will it take to saw it into twelve equal pieces? 11 minute

30 7462 is 4627 , 3819 is 8193 Hence 5967 is _____ 9675

31 5005 - 5000 ÷ 10 4505

32 Complete the sequence 5, -1, 8, 2, __ 11

33 Which is different(a) RQPO (b) VUTS (c) HNOP (d) HGFE

HNOP

34 2 = 5; 4 = 18; 6 = 39; 8 = 68; 10 = ? 105

35 If 2A = 3B = 4C, then A : B : C 6 : 4 : 3

36 On simplification, 3034 – (1002÷20.04) is equal to:

2984



37 A roll of wire is 100 mts long. How many rolls are needed to surrounda square park that measures 500 X 500 mts ?

20 rolls

38 If 1 = 2, 2 = 5, 3 = 10 & 4 = 17 then 5 = ? 26

39 A shepherd had 17 sheep. All but nine died. How many did he haveleft?

16 sheeps

40 Insert the missing number 3 6 7

5 8 94 7 ? 8

41 If 53 - 34= 5334 ; 64 - 56= 6546 ; Then75 - 24=? 7254

42 If 2 x 6 = 3 ; 3 x 9 = 3 & 4 x 20 = 5 Then 5 x 40 = ? 8

43There are eight mango trees in a straight line. The distance betweeneach mango tree with other is 3 metres. What is the distance betweenfirst tree and eighth tree?

21 mts

44 A gardener planted totally 6561 plants in such a way that there are asmany rows as there are trees in each row. How many rows were there? 81

45 A Mathematician watched his daughter plucking flowers. Being amathematician he saw a wonder. After each minute the number of flowers in the basket doubled. That is, she plucked in that speed. If the

basket was full at 12 PM, tell me what is the time when the basket washalf full?

11.59 A.M

46 A string of 66 cms length is bent so as to get a circle. What is itsdiameter?

21 cms



47 If the difference between three times & seven times of a number comesto 36, what is the number? 9

48 If the length of the rectangle is twice its breadth then its perimeter is ? 6b

49 Two towers are 35 mts and 50mts height and 20mts apart on levelground. Find the length of the rope connecting their tops?

25 mts

50 Think of a number , divided it by 4 and add 9 to it, the result is 15.Findthe number.

24

51 If 5x4=15, 7x8=49, 6x5=24, what will be 8x4 be? 24

52 In a family there are five brothers who are not yet married. Each brother has a sister and the mother alive. How many women are therein the family?

2 women

53 If the day, two days after tomorrow be Thursday. What day would have been two days before yesterday? Thursday

54 A duck in front a two ducks , a duck behind two ducks, and one duck in the middle. How many ducks are there?

3 ducks

55 If 4 women carry out a task in 4 days, then for the same task onewomen will take-----days

16 days

56 At what rate percent per annum will a sum of money double in 16 yrs? 25/4 p.a

57 If the radius of a circle is doubled, how many times of the area of theoriginal circle will it become now ? 4 times

58 If ‘ DBMDVUUB’ stands for ‘CALCUTTA’, How will you write CPNCBZ



‘BOMBAY’?

59 If MATHEMATICS=12345123678,Then MAHATHMA=?

12423412

60Two persons were going together. One of them remarked to the other ‘Though you are my father ,yet I am not your son’. What was therelationship between the two?

Father &Daughter

61 If + means / ; x means - ; /means + ; - means x , then16 / 8 x 6 – 2 + 12 = ?

7

62 How many such 3’ s are there in the following number sequences

which are immediately preceded by an odd number and immediatelyfollowed by an even number?5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6

3

61I was married 10 years before my wife was sixth member of my familyand now I have a baby and today father died and the average age of myfamily was same as it was 10 years before. Find my father’s age when Iwas married.

60

62 In the combinations of 2,3,6,7 how many possible combinationsdivisible by 4?

8

63 There are some houses in a street back to back .And they that house behind 10 was 23.How many houses in the street ?

32

64 A train 240 m long passed a pole in 24 secs. How long will it take to pass a platform 650 m long?

89 sec

65 You are having 31kg of rice. You are provided with a 1kg stone for weighing. In how many weights the 31kg of rice can be weighed.

5

66

The average temperature of days from Monday to Wednesday is 37

degree Celsius and that of from Tuesday to Thursday is 34 degrees. The 36 deg



temperature of Thursday is 4/5th of Monday. Then the temperature of Thursday is

67 If all the 6 are replaced by 9, then the algebraic sum of all the numbersfrom 1 to 100(both inclusive) varies by ---

330

68 Which of the following fractions is less than 1/3(a) 22/62 (b) 15/46 (c) 2/3 (d) 1

b

69 The total no. of numbers that are divisible by 2 or 3 between 100 and200(both inclusive) are -----

67

70 The greatest possible length which can be used to measure exactly thelengths 7 m, 3 m 85 cm, 12 m 95 cm is : (a) 15 cm (b) 25 cm (c) 35cm (d) 42 cm

35 cm

71 There is a cube of side 4 cm.The faces are coloured in red.the cube iscut into pieces of size 1 cm.How many cubes have no colour 8

72 3034-(1002 / 20.04) = ? 2984

73 3p2 + pq + 5q2 is even if --- a) If p is odd, q is odd b) If p is even, qis odd c) If p is odd ,p is even d) Atleast one of p and q is odd.

None of these

74 A father is 30 years older than his son however he will be only thrice asold as the son after 5 years what is father s present age ?

40 yrs

75 Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ? 7

76 Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 +0.01)

0.845

77 There are two circles, one circle is inscribed and another circle is

circumscribed over a square. What is the ratio of area of inner to outer 1 : 2



circle?

78 Find the sum of even numbers between 1 & 31. 240

79 Find the LCM OF 24,36 & 60 360

80 3.14 x 106 = ? 3140000

81 3 x 0.3 x 0.03 x 0.003 x 30 = ? 0.00243

82 12.05 x 5.4 / 0.6 = ? 108.45

83 If a2 + b2 = 117 & ab = 54, then find the value of (a+b) /(a-b) 5

84 √0.0025 X √2.25 X √0.0001 = ? 0.00075

85 Which number can replace both the question marks in (9/4) / ? = ? /32 12

86 A man plants 15376 apple trees in his garden & arranges them so thatthere are as many rows as there are apple trees in each row. Thenumber of rows is ___

124

87 The average of first five multiples of 3 is ___. 9

88 The mean of 50 observations was 36. It was found later that an

observation 48 was wrongly taken as 23. The corrected new mean is ____.

36.5

89 Twenty times a positive integer is less than its square by 96. What isthe integer

24

90 The ratio of the present ages of two brothers is 1 :2 and 5 years back,

the ratio was 1:3. What will be the ratio of their ages after 5 years? 3:5



91 If 5a = 3125, then the value of 5(a-3) is ___. 25

92 What percent of 7.2 kg is 18 gms? 2.5%

93 I gain 70 paise on Rs 70. My gain percent is ____. 1%

94 Two numbers are in the ratio 3:5. If 9 is subtracted from each, the newnumbers are in the ratio 12:23. The smaller number is _____.

33

95 4 men & 6 women can complete a work in 8 days, while 3 men and 7

women can complete it in 10 days. In how many days will 10 womencomplete if ? 40 days

96 Which of the following trains is the fastest? (a)25m/sec (b)1500m/min(c) 90km/hr

None-allare same

97 A reduction in price of apples enables a person to purchase 3 apples for

Rs 1 instead of Rs 1.25. What is the percentage reduction in price?

20

98 Which of the following can be exact multiple of 4 ?(a) 27114 9 b) 58204 (c) 48402

58204

99 B is taller than E but shorter than F who is not tall as A and C is shorter than D but taller than A. Who is taller?

E

100 If the profit made by selling a pen for Rs 10 is as much as its cost, whatis the price of the pen ?

Rs 5



101 Which of the following is power of 3

a) 2345 b) 9875 c) 6504 d) 9833

c

102 Complete the series 2, 7, 24, 77, ----? 238

103 Which of the following is integer? a) 451/45 b) 8765676/17 c)34567/76 d) 567845/19

b

104What is the max possible 3 digit prime number? 997

105 Complete the series. 3, 8, --, 24, --, 48, 63.15,35

106 Number of faces, vertices and edges of a cube 6,8 , 12

107 Sum of 5 numbers starting from 198 i.e. summation of numbersfrom 198 to 202.198 + 199 + 200 +201 + 202 = 1000

1000

108In a class composed of x girls and y boys what part of the class iscomposed of girlsA) y/(x + y) B) x/xy C) x/(x + y) D) y/xy

C

109 If the operation,^ is defined by the equation x ̂ y = 2x + y, what isthe value of a in 2 ^ a = a ^ 3A) 0 B)1 C) -1 D) 4

B



110 There are 200 questions on a 3 hr examination.Among thesequestions are 50 mathematics problems.It is suggested that twiceas much time be spent on each maths problem as for each other question.How many minutes should be spent on mathematics

problemsA.36 B.72 C.60 D.100

B

111 In a group of 15,7 have studied Latin, 8 have studied Greek, and 3have not studied either.How many of these studied both Latinand Greek A.0 B.3 C.4 D.5

B

112 If 13 = 13w/(1-w) ,then (2w)2 =

A.1/4 B.1/2 C.1 D.2

C

113 If a and b are positive integers and (a-b)/3.5 = 4/7, then(A) b < a (B) b > a (C) b = a (D) b >= a

A

114 If 9x-3y=12 and 3x-5y=7 then 6x+2y = ?A. 5 B. 4 C. 2 D. 8

5

115 There are 5 red shoes, 4 green shoes. If one draw randomly a shoewhat is the probability of getting a red shoe 5c1/ 9c1

116 There is a square of side 6cm . A circle is inscribed inside thesquare. Find the ratio of the area of circle to square.

11/14

117 Sum of 2000 numbers starting from -999 i.e. summation of numbersfrom -999 to 1000.

(-999) + (-998) + (-997) + ..... + (-1) + 0 + 1 + 2 + ..... + 997 +998 + 999 + 1000 = 1000

1000



118

A girl has a certain number of pets. All but two are dogs, all but twoare cats and all but two are goats. How many pets does this girlhave?Answer The answer is 3 i.e. 1 dog, 1 cat and 1 goatIt says "all but two are dogs", which means that 2 are not dog.Similarly, 2 are not cat and 2 are not goat. Thus solution is thereare 3 pets out of which one is dog, one is cat and one is goat.Also, there is one more aspect to it. The girl might have only 2

pets and none of them is dog or cat or goat.

3

119 There are 6 red shoes & 4 green shoes . If two of red shoes aredrawn what is the probability of getting red shoes

6c2/10c2

120 To 15 lts of water containing 20% alcohol, we add 5 lts of purewater. What is % alcohol.

15%

121 If A/B = 3/5,then 15A = ? 9B

122 44City A s population is 68000, decreasing at a rate of 80 people per year. City B having population 42000 is increasing at a rate of 120

people per year. In how many years both the cities will have same population?

130 yrs

123 48Which of the following fractions is less than 1/3(a)22/62 (b)15/46 (c)2/3 (d)1

b

124 Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075+ 0.01)(a) 0.845 (b) 1.908 (c) 2.312 (d) 0.001

A

125 Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?(a) 6 (b) 8 (c) 7 (d) data insufficient C

126 x% of y is y% of ?(a) x/y (b) 2y (c) x

C



127 What is the smallest number by which 2880 must be divided inorder to make it into a

perfect square ?(a) 3 (b) 4 (c) 5 (d) 6

C

128 A father is 30 years older than his son however he will be onlythrice as old as the son after 5 yearswhat is father s present age ?(a) 40 yrs (b) 30 yrs (c) 50 yrs

A

129 What is the angle between the two hands of a clock when time is8:30

75(app)

130 A student is ranked 13th from right and 8th from left. How manystudents are there in totality ?

20

131 A man walks east and turns right and then from there to his left andthen 45degrees tohis right.In which direction did he go

Northwest

132 If x/y=4 and y is not 0 what % of x is 2x-y(a)150% (b)175% (c)200% (d)250% (b)

133 If 2x-y=4 then 6x-3y=?(a)15(b)12(c)18(d)10

(b)

134If x=y=2z and xyz=256 then what is the value of x?

(a)12(b)8(c)16(d)6

(b)



135(1/10)18 - (1/10)20 = ?

(a) 99/1020(b) 99/10(c) 0.9(d) none of these

(a)

136

Find the smallest number in a GP whose sum is 38 and product1728(a) 12(b) 20(c) 8(d) none of these

(c)

137A goat is tied to one corner of a square plot of side 12m by a rope7m long.Find the area it can graze?

(a) 38.5 sq.m(b) 155 sq.m(c) 144 sq.m(d) 19.25 sq.m

(a)

138 The average age of 10 members of a committee is the same as it was4 years ago, because an old member has been replaced by a

young member. Find how much younger is the new member ?

40 years.

139 A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft.and slips back 2ft. How much time would it take the monkey toreach the top?

18 hours.

140 What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12 9

141 A wizard named Nepo says "I am only three times my son s age. Myfather is 40 years more than twice my age. Together the three of us are a mere 1240 years old." How old is Nepo?

360 yearsold.

142 One dog tells the other that there are two dogs in front of me. Theother one also shouts that he too had two behind him. Howmany are they?

Three.



143 A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?

Eight.

144 If it takes five minutes to boil one egg, how long will it take to boilfour eggs?

Fiveminut

es.

145The minute hand of a clock overtakes the hour hand at intervals of

64 minutes of correct time. How much a day does the clock gainor lose?

32 8/11minutes

146 Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9.x = 3/2 or -3

and y =3 or -3/2.

147 Find the least value of 3x + 4y if x2y3 = 6. 10.

148 For the following, find the next term in the series1. 6, 24, 60,120, 210a) 336 b) 366 c) 330 d) 660

336

149 Find the odd man out.1. 3,5,7,12,13,17,19

12

150

What is the sum of all numbers between 100 and 1000 which aredivisible by 14 ?Explanation : The number closest to 100 which is greater than100 and divisible by 14 is 112, which is the first term of theseries which has to be summed.The number closest to 1000 which is less than 1000 anddivisible by 14 is 994, which is the last term of the series.112 + 126 + .... + 994 = 14(8+9+ ... + 71) = 35392

35392

151If time at this moment is 9 P.M., what will be the time 23999999992

hours later?Explanation : 24 billion hours later, it would be 9 P.M. and 8hours before that it would be 1 P.M.

1 P.M.



152 What is the sum of the first 25 natural odd numbers?Explanation : The sum of the first n natural odd nos is square(n).

1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

625

153In a class composed of x girls and y boys what part of the class is

composed of girlsA.y/(x + y)B.x/xyC.x/(x + y)D.y/xy

C

154 If the operation,^ is defined by the equation x ̂ y = 2x + y,what isthe value of a in 2 ^ a = a ^ 3A.0B.1C.-1D.4

B

155

In a group of 15,7 have studied Latin, 8 have studied Greek, and 3

have not studied either.How many of these studied both Latinand Greek A.0B.3C.4D.5

B

156If 13 = 13w/(1-w) ,then (2w)2 =

A.1/4

B.1/2C.1D.2

C



157If a and b are positive integers and (a-b)/3.5 = 4/7, then

(A) b < a(B) b > a(C) b = a(D) b >= a

A

158If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?

A.-5B. 4C. 2D. 8

D

159 What is the selling price of a car? If the cost of the car is Rs.60 and

a profit of 10% over selling price is earned Rs 66/-

160 There is a square of side 6cm . A circle is inscribed inside thesquare. Find the ratio of the area of circle to square. 11/14

161 The cost of an item is Rs 12.60. If the profit is 10% over selling price what is the selling price ?

Rs13.86/-

162 There are 6 red shoes & 4 green shoes . If two of red shoes aredrawn what is the probability of getting red shoes

6c2/10c2

163If the value of x lies between 0 & 1 which of the following is the

largest?(a) x(b) x2(c) -x(d) 1/x

(d)

164 An equilateral triangle of sides 3 inch each is given. How manyequilateral triangles of side 1 inch can be formed from it?

9

165 If A/B = 3/5,then 15A = ? 9B



166 Which of the following fractions is less than 1/3(a) 22/62(b) 15/46(c) 2/3(d) 1

(b)

167Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075

+ 0.01)(a) 0.845(b) 1.908(c) 2.312(d) 0.001

A

168 Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?(a) 6(b) 8(c) 7(d) data insufficient

C

169x% of y is y% of ?

(a) x/y

(b) 2y(c) x(d) can t be determined

C

170 What is the smallest number by which 2880 must be divided inorder to make it into a

perfect square ?(a) 3(b) 4

(c) 5(d) 6

C



171 A father is 30 years older than his son however he will be onlythrice as old as the son after 5 yearswhat is father s present age ?(a) 40 yrs(b) 30 yrs(c) 50 yrs(d) none of these

A

172 What is the angle between the two hands of a clock when time is8:30

75(apprx)

173 A man shows his friend a woman sitting in a park and says that shethe daughter of my grandmother s only son.

What is the relation between the two

Daughter

174 A certain street has 1000 buildings. A sign-maker is contracted tonumber the houses from 1 to 1000. How many zeroes will heneed?Answer The sign-maker will need 192 zeroes.Divide 1000 building numbers into groups of 100 each asfollow:

(1..100), (101..200), (201..300), ....... (901..1000)For the first group, sign-maker will need 11 zeroes.For group numbers 2 to 9, he will require 20 zeroes each.And for group number 10, he will require 21 zeroes.The total numbers of zeroes required are= 11 + 8*20 + 21

192zeroes

175 In a certain code SENT IS WRITTENAS “+ / x” AND ant ISWRITTEN AS “ * x – “ . How is TEN written in that code ?

- / X

176 Three squares have perimeters of 12m,20m and 24 m respectively.If a rectangle is constructed whose area is equal to the combinedarea of the three squares such that its width is 7 m , then thelength of the rectangle is ----.

8 m

177 The value of 4 * 100 + 3 * 10 + 9 / 1000 is ----. 430.009



178 How many 4’s are there in the series which are preceded by 8 andfollowed by 0 ?

367403784024547840235484035430480

3

179 The average temperature of all 7 days of the week is 30, that of the 3

days is 28 and of the next 3 days is 31. What is the temperatureon the last day of the week ?

33

180 X % of Y is Y % of ? X

181 A man starts walking in the morning facing the sun. After sometime, he turned to his left. Later, he again turned to his left.The direction in which the man is moving now is ---.

West

181 A finishes the work in 10 days & B in 8 days individually. If Aworks for only 6 days then how many days should B work tocomplete A's work?

3.2

days

182A finishes the work in 10 days & B in 8 days individually. If Aworks for only 6 days then how many days should B work tocomplete A's work?

3.2

days183 A man, a woman, and a child can do a piece of work in 6 days. Man

only can do it in 24 days. Woman can do it in 16 days and in howmany days child can do the same work?

16

184 A can copy 50 papers in 10 hours while both A & B can copy 70 papers in 10 hours. Then for how many hours required for B to copy

26 papers?

13

hour

s

185 A and B do a work in 7 days. If A does double as B the how manydays take A to do?

10.5

days



186 Which of the following is larger than 3/5?(1) ½ (2) 39/50 (3) 7/25 (4) 3/10 (5) 59/100

39/50

187 The number that does not have a reciprocal is ____________. 1

188Which of the following highest Standard deviation

a. 7, - 7, 7,-7, 7,-7 b) 7, 7, 7,7,7,7 c) -7, - 7, -7,-7,-7,-7 d) -7, 7, -7, 7,-7, 7

d)

189 108 ÷ 36 of ¼ + 2/5 * 3 (1/4) 133 / 10

190 8888 + 888 + 88 + 8

9872

191 11992 - 7823 – 456 3713

192 What is the selling price of a car? If the cost of the car is Rs.60 anda profit of 10% over selling price is earned Rs 66

193 The cost of an item is Rs 12.60. If the profit is 10% over selling price what is the selling price ?

Rs 13.86


A


A



196 In simple interest what sum amounts of Rs.1120/- in 4 years andRs.1200/- in 5 years ?

(a) Rs. 500 (b) Rs. 600 (c) Rs. 800 (d) Rs. 900

C

197 7862 – 2142 = 572000

198 9989 X 9989 – 121 = 99780000

199 LCM of 10,12,15 is ---. 60

200 √0.0016 = 0.04

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BU Mala Aptitude Coach [1].Com Mala 1