# 2017/18 IBPS CLERKS MAIN QUANTITATIVE APTITUDE

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**QUANTITATIVE APTITUDE**

81. Fredrick
after spending 20% of his monthly salary in buying electronic goods and 10% of
the monthly salary in repair work of furniture invested 30% of the remaining
amount in fixed deposits. If he was left with Rs. 18,963, how much is his
monthly salary?

(1) Rs. 38,700 (2)
Rs. 35,650 (3) Rs.
40,200 (4) Rs. 37,950

(5) Rs. 42,500

82. The
total price of 6 trousers and 5 shirts is Rs. 2,340. The total price of 7
shirts is Rs. 540 more than the total price of 3 trousers. What is the total
price of 4 shirts?

(1) Rs.780 (2)
Rs.680 (3) Rs.760 (4) Rs.640 (5) Rs.720

83. In
a village, 30% of the villagers belong to upper economic class. The number of villagers
who belong to middle economic class are 3 of the number of 2 villagers who
belong to lower economic class. If 6860 villagers belong to lower economic class,
what is the population of the village?

(1) 22600 (2)
24500 (3) 26000 (4) 25500 (5) 24300

84. A
water tank has one inlet, A and one outlet, B. A takes 5 hours to fill the
empty tank, when B is not open and B takes 8 hours to empty the full tank. If
the tank is three fifth full, how much time will it take to fill the tank
completely when both A and B are opened simultaneously? (in hours)

(1) (2) (3) (4) (5)

85. The
height and base of a triangle are equal to the length and breadth of a
rectangle respectively. If the perimeter of the rectangle is 86in and the
difference between its length and breadth is 5m, what is the area of the triangle?
(in m

^{2})
(1) 224 (2)
228 (3) 216 (4) 242 (5) 256

Directions
(86-100): What will come in place of the question mark (?) in each of the following
questions ?

86. 7

^{2}x 3^{2}= ?^{2}− 135
(1) 25 (2)
35 (3) 28 (4) 30 (5) 24

87. = 84 −?

(1) 74 (2)
48 (3) 80 (4) 85 (5) 60

88. 912.0076 + 878.42 − 1671.35 = 368 − ?

(1) 248.9224 (2)
612.213 (3) 237.6224 (4) 45.2136

(5) 211.3452

89.

(1) (2) (3) 50 (4) (5)

90. (25)3 x (4)3 – 8002 = (?)2

(1) 400 (2) 300 (3)
600 (4) 800 (5)
1000

91. (16% of 450) ÷ (?% of 250) = 4.8

(1) 12 (2) 6
(3) 4 (4) 10 (5) 15

92. (786 x 24) ÷ ? = 524

(1) 42 (2) 36 (3)
56 (4) 54 (5) 50

93.

(1) (2) (3) (4) (5)

94.

(1) (2) (3) (4) (5)

95.

(1) 2500 (2) (28)

^{2}(3) (4) 50 (5)
96. 1.05% of 2500 + 2.2% of 440 =?

(1) 37.50 (2) 37.25 (3)
370.25 (4) 372.50 (5) 350.72

97.

(1) 225 (2) 140 (3)
180 (4) 22 (5) 169

98.

(1) (2) (3) (4) (5) None of
these

99.

(1) 18 (2)
28 (3) 32 (4) 30 (5) 26

100. of 315 + of 455 =?

(1) 370 (2)
380 (3) 360 (4) 340 (5) 310

101. The
average weight of 38 students of a class was 44 kg. After 12 new Students
joined the class, the average weight increased by 4.68 kg. What Is the average weight
of 12 new students who joined the class? (in kg)

(1) 61.5 (2)
65 (3)
63.5 (4) 62 (5) 65.5

102. Sonal’s
age 4 years hence will be equal to Radhika’s age five years ago. If the respective
ratio between Radhika’s present age and Komal’s present age is 3:2 and Komal's
present age is 22 years, what is Sonal's present age? (in years)

(1) 33 (2)
32 (3) 24 (4) 26 (5) 21

103. th of the girls and th of the boys of a' primary school participated in annual sports.
If the number of participating students is 302 out of which 138 are boys, what
is the total number of students in the primary school?

(1) 677 (2)
691 (3) 723 (4) 649 (5) 711

104. A
and B together can finish a piece of work in 12 days while B alone can do it in
30 days. In how many days can A alone finish the work?

(1) 10 (2)
20 (3) 50 (4) 25 (5) 35

**Directions (105-109): What will come in place of the question mark (?) in the following number series?**

105. 5120 1280
320 80
?

(1) 16 (2)
24 (3) 20 (4) 40 (5) 27

106. 8 17
42 91
?

(1) 170 (2)
142 (3) 140 (4) 172 (5) 180

107. 8 7
12 33 128

(1) 635 (2)
465 (3) 585 (4) 495 (5) 545

108. 3 4
12 45 196 ?

(1) 900 (2)
925 (3) 980 (4) 1005 (5) 995

109. 11 23
47 95
191 ?

(1) 253 (2)
323 (3) 368 (4) 383 (5) 392

110. A,
B and C started a business together. The respective ratio of investment of A and
B was 7:9 and that of B and C was 18:11. All of them invested for equal period
of time. If the total profit earned by them was Rs. 15,050, what was C's share
of profit?

(1) Rs. 3,850 (2)
Rs. 4,350 (3) Rs. 4,150 (4) Rs. 3,700 (5)
Rs. 3,650

111. The
average of five consecutive odd numbers is 95. What is the fourth number in the
descending order?

(1) 91 (2)
95 (3) 99 (4) 97 (5) 93

112. 1414
pens were .distributed equally among students of class VII, VIII, IX and X. Each
class consisted of equal number of students. If each student got 6 pens and 94
pens remained undistributed, how many students were there in each class?

(1) 48 (2)
58 (3) 60 (4) 62 (5) 55

**Direction (113-117): React the following table carefully to answer the given questions.**

**Number of mobile phones of five different brands sold by five different stores in January 2014**

113. The
number of Samsung mobile phones store by store D is by what percent more than
the number of mobile phones of same brand sold by store A?

(1) 10 (2)
22 (3) 20 (4) 15 (5) 16

114. What is the average number of HTC mobile phones
sold by stores B, C and D?

(1) 1750.67 (2)
1700.50 (3) 1720.57 (4) 1716.67 (5)
1725.56

115. The
number of Sony mobile phones sold by store C is approximately what percent of
the total number of Sony mobile phones sold by all the five stores together?

(1) 24.55 (2)
25.57 (3) 21.56 (4) 23.67 (5) 26.67

116. What
is the difference between the total number of Nexus mobile phones sold by stores
A and E together and the total number of Samsung mobile phones sold by the same
stores together?

(1) 300 (2)
340 (3) 280 (4) 330 (5) 290

117. What
is the respective ratio between total number of HTC mobile phones sold by stores
B and C together and the total number of Moto G mobile phones sold by the same
stores together?

(1) (2) (3) (4) (5)

118. The
difference of two two-digit numbers is 18. Four times the second number is 18
more than thrice the first number. Find sum of both numbers.

(1) 162 (2)
165 (3) 89 (4) 48 (5) 118

119. A
covers a distance of 360 km in 8 hrs. B covers the same distance in 6 hrs. What
is the respective ratio between the speeds of the A and B?

(1) 3 : 5 (2)
3 : 4 (3) 1 : 2 (4) 4 : 5 (5) 2 : 3

120. The
compound interest accrued in 2 years on a principal of Rs.15,800 is Rs.7716.72.
What is the rate of interest p.c.p.a.?

(1) 22 (2) 16 (3) 18

**QUANTITATIVE APTITUDE**

81. (1) Percentage expense by Fredrick on electronic
goods and repair of furniture

=
20 + 10 = 30%

Percentage
of remaining salary = 70%

If
the monthly salary of Fredrick be Rs. x, then

Investment
in fixed deposits 30% of

∴
Savings =

=
Rs.

∴ = 18963

⇒
x

=
Rs.38700

82. (5) Price of 1 trouser = Rs. x and price of 1 shirt
= Rs. y (let)

∴
6x + 5y = 2340 …
(i)

and

7y
– 3x = 540

⇒ 14y
– 6x = 1080 …
(ii)

On
adding both the equations,

⇒ 19y
= 2340 + 1080

⇒19y
= 3420

⇒ y = =
180

∴
Price of 4 shirts = 180 ×
4

=
Rs.720

83. (2) Let the population of village be x.

Population
of higher economic class =

Population
of lower economic class = 6860

∴
Population of middle economic class

6860 = 10290

∴
Population of middle and lower economic class

=
6860 + 10290 = 17150

∴ = 17150

⇒ x = =
24500

84. (4) Part of tank filled by A and B in 1 hour =

=

∴
Time taken in filling the tank completely = hours

∴
Time taken in filling the th part of
tank =

=
hours

85. (2) Breadth of rectangle = x metre (let)

∴
Length = (x + 5) metre

∴
2(x + 5 + x) = 86

⇒
2x + 5 = 43

⇒
2x = 43 – 5 = 38

⇒
x = 19 metre = breadth = base

∴
Length = 19 + 5 = 24 metre = height

∴
Area of triangle = base × height

=
24 × 19 = 228 sq.metre

86. (5) 7

^{2}× 3^{2}= ?^{2}– 135
⇒
49 ×
9 = ?

^{2}– 135
⇒
441 + 135 = ?

^{2}
⇒ ?

^{2 }= 576 ⇒ ? = = 24
87. (3) = 84 − ?

⇒
52 = 84 − ?

⇒
4 = 84 − ?

⇒
? = 84 – 4 = 80

88. (1) 912.0076 + 878.42 – 1671.35 = 368 – ?

⇒
1790.4276 – 1671.35 = 368 – ?

⇒
119.0776 = 368 – ?

⇒ ? = 368 – 119.0776 = 248.9224

89.
(2) ? = 16 + + 15 +

= (16 + 15 + 18) +

= 49 +

= 49 +

90. (3) (25)

^{3}× (4)^{3}– (800)^{2}= (?)^{2}
⇒
(?)

^{2}= (100)^{3 }– (800)^{2}
=
1000000 – 640000 = 360000

∴
? = = 600

91. (2)

⇒

⇒
? = 6

92. (2) 524

⇒ 524 × ? = 786 × 24

⇒
? = = 36

93. (4) ? = of

=

=

94. (1) ? =

=

=

95. (1)

⇒

⇒ = 39 + 11 = 50

∴ ? = 50 × 50 = 2500

96. (2) ? =

=
26.25 + 11 = 37.25

97. (1)

⇒

⇒

⇒ 19 = 4 +

⇒ = 19 – 4 = 15

⇒ ? = 15 × 15 = 225

98. (2) ? =

=

99. (5) = ? – 6

⇒ = ? – 6

⇒
20 = ? – 6

⇒ ?
= 20 + 6 = 26

100. (1) ?
= 315 + 455

=
175 + 195 = 370

101. (3) Total
weight of 12 new students = (50 ×
48.68 – 38 ×
44) kg

=
2434 – 1672 = 762 kg

∴
Required average weight kg = 63.5 kg.

102. (3) Komial’s
present age = 22 years

∴
Radhika's present age = 22 years

=
33 years

∴
Sonal's age 4 years hence = Radhika's age 5 years ago

=
33 – 5 = 28 years

∴
Sonal's present age = 28 – 4

=
24 years

103. (2) Girls
who participated in annual sports = 302 – 138

=
164

∴
In the primary school : Girls = = 369

Boys = = 322

∴
Total students in the primary school

=
369 + 322 = 691

104. (2) A’s
1 day's work =

∴
Required time = 20 days

105. (3) The
pattern is:

5120
÷
4 = 1280

1280
÷
4 = 320

320
÷
4 = 80

80
÷
4 =

106. (4) The
pattern is:

17
– 8 = 9 = 3

^{2}
42
– 17 = 25 = 5

^{2}
91
– 42 = 49 = 7

^{2}
∴ ?
= 91 + 9

^{2}= 91 + 81
107. (1) The
pattern is:

8
×
1 – 1 = 8 – 1 = 7

7
×
2 – 2 = 14 – 2 = 12

12
× 3
– 3 = 36 – 3 = 33

33
×
4 – 4 = 132 – 4 = 128

128
× 5
– 5 = 640 – 5 =

108. (4) The
pattern is:

3
×
1 + 1

^{2 }= 3 + 1 = 4
4
×
2 + 2

^{2}= 8 + 4 = 12
12
×
3 + 3

^{2}= 36 + 9 = 45
45
×
4 + 4

^{2 }= 180 + 16 = 196
196
×
5 + 5

^{2}= 980 + 25
109. (4)
The pattern is:

11
× 2
+ 1 = 22 + 1 = 23

23
×
2 + 1 = 46 + 1 = 47

47
×
2 + 1 = 94 + 1 = 95

95
×
2 + 1 = 190 + 1 = 191

191
×
2 + 1 = 382 + 1

110. (1) A
: B = 7 : 9 = 14 : 18

B
: C = 18 : 11

Ratio
of the investments of A, B and C

=
14 : 18 : 11

Sum
of ratios = 14 + 18 + 11 = 43

C's
share = 15050

=
Rs. 3850

111. (5)
Third odd number = 95

∴
Numbers ⇒
99 > 97 > 95 > 93 > 91

112. (5)
Let the number of students in each class = x.

According
to the question, 4x ×
6 + 94 = 1414

⇒
24x = 1414 – 94 = 1320

⇒
x = = 55

113. (3) Required
percentage increase =

=

=
20

114. (4) Required
average =

=

=
1716.67

115. (4)
Total number of sony mobile phones sold

=
1240 + 1100 + 1690 + 1650 + 1460 = 7140

∴
Required percent =

=
23.67

116. (5) Required
percent = (1520 + 1840) – (1450 + 1620)

=
3360 – 3070 = 290

117. (3) Required
ratio = (1820 + 1840) : (1540 + 1480)

=
3660 : 3020 = 183 : 151

118. (1) Let
the numbers be x and y where x > y.

∴
x – y = 18 …
(i)

and
4y – 3x = 18

⇒
4y – 3 (18 + y) = 18 [From
equation (1)]

⇒
4y – 54 – 3y = 18

⇒
y = 54 + 18 = 72

∴
x = 18 + y = 18 + 72 = 90

∴
x + y = 90 + 72 = 162

119. (2) Speed
=

∴
Required ratio =

=
45 : 60 = 3 : 4

120. (1)
A =

Amount
= 15800 + 7716.72

=
Rs.23516.72

∴
23516.72 = 15800

⇒

⇒

⇒

⇒ 1 +

⇒

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