6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

12 students of class IX took part in GK quiz. If the number of boys is 4 more than the number of girls. Find the number of boys and girls took part in the quiz ?

A) 7, 5	B) 9, 3
C) 8, 4	D) 6, 6

Answer & Explanation Answer: C) 8, 4

Explanation:

Let the number of girls = x

=> x + x + 4 = 12

=> 2x = 8

=> x = 4

=> Number of girls = 4

=> Number of boys = 4 + 4 = 8

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Filed Under: Problems on Numbers
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16 4025

Q:

An investment bond is offered to the public at 9% p.a. Louise buys a bond worth $2000 that will mature in 2 years. How much in total will Louise receive at the end of the 2 years?

A) 3360	B) 2360
C) 4360	D) 5360

Answer & Explanation Answer: B) 2360

Explanation:

I = (P x r x t)/100

I = $360

A = P+I

A = 2360

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 4021

Q:

If the difference between the mode and median is 2, then the difference between the median and mean is:

A) 2	B) 1
C) 3	D) 4

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

33 4019

Q:

Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?

A) 15	B) 3
C) 9	D) 6

Answer & Explanation Answer: A) 15

Explanation:

Let the required two numbers be a, b

From the given data,

2a + 3b = 36 .....(1)

3a + 2b = 39 .....(2)

Now, by solving 1 and 2 eqnts, we get

5a = 45

a = 9 ....(3)

Put (3) in (1), we get

2(9) + 3b = 36

=> 18 + 3b = 36

3b = 36 - 18

=> b = 18/3 = 6

Required, difference between the numbers = a + b = 9 + 6 = 15.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 4017

Q:

A number when subtracted by 1/7 th of itself gives the same value as the sum of all the angles of a triangle. What is the number?

A) 420	B) 210
C) 70	D) 35

Answer & Explanation Answer: B) 210

Explanation:

Let the required number be 'p'

We know, sum of angles in a triangle are 180 deg

According to given data,

p - p/7 = 180

7p - p = 180 x 7

=> 6p = 1260

=> p = 1260/6 = 210

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Filed Under: Problems on Numbers
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4 4017

Q:

Agra and Delhi are 160 km apart. A train leaves Agra for Delhi and at the same time another train leaves Delhi for Agra. Both the trains meet 5 hrs after they start moving. If the train travelling from Agra to Delhi travels 6 km/hr faster than the other train, find the speed of the faster train?

A) 19 kmph	B) 13 kmph
C) 7 kmph	D) 9 kmph

Answer & Explanation Answer: A) 19 kmph

Explanation:

Let the speed of the slower train = p kmph

ATQ,

Speed of the faster train = (p + 6) kmph

Then,

(p + p + 6) x 5 = 160

10p + 30 = 160

10p = 130

p = 13 kmph

Then, speed of the faster train = p + 6 = 13 + 6 = 19 kmph.

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Filed Under: Problems on Trains
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8 4017

Q:

Sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?

A) 11 and 4	B) 3 and 11
C) 11 and 33	D) 40 and 4

Answer & Explanation Answer: C) 11 and 33

Explanation:

Let the smaller number be 'm'

Then, from the given data, the larger number is '3m'

Given that m + 3m = 44

=> 4m = 44

m = 44/4 = 11

=> m = 11

=> 3m = 3 x 11 = 33

Hence, the two numbers are 11 and 33.

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Filed Under: Problems on Numbers
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9 4016

Q:

A bucket contains a mixture of two liquids A and B in the proportion 7: 5. If 9 litres of the mixture is replaced by 9 litres of liquid B, then the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?

A) 21 litres	B) 15 litres
C) 23 litres	D) 18 litres

Answer & Explanation Answer: A) 21 litres

Explanation:

Suppose the two liquids A and B are 7x litres and 5x litres respectivel Now, when 9 litres of mixture are taken out,

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