6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Average of 10 numbers is 14. If each number is multiplied by 6, then what will be the new average?

A) 70	B) 84
C) 56	D) 92

Answer & Explanation Answer: B) 84

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

1 44227

Q:

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

A) 21/46	B) 1/5
C) 3/25	D) 1/50

Answer & Explanation Answer: A) 21/46

Explanation:

Let , S - sample space E - event of selecting 1 girl and 2 boys.

Then, n(S) = Number ways of selecting 3 students out of 25

= $25 C_{3}$

= 2300.

n(E) = $10 C_{1} \times 15 C_{2}$ = 1050.

$\therefore$ P(E) = n(E)/n(s) = 1050/2300 = 21/46

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Filed Under: Probability

106 44066

Q:

A man reaches his office 20 min late, if he walks from his home at 3 km per hour and reaches 30 min early if he walks 4 km per hour. How far is his office from his house ?

A) 20 km	B) 16 km
C) 14 km	D) 10 km

Answer & Explanation Answer: D) 10 km

Explanation:

Let distance = x km.
Time taken at 3 kmph : dist/speed = x/3 = 20 min late.
time taken at 4 kmph : x/4 = 30 min earlier
difference between time taken : 30-(-20) = 50 mins = 50/60 hours.
x/3- x/4 = 50/60
x/12 = 5/6
x = 10 km.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

57 44031

Q:

The sum of all two digit numbers divisible by 5 is

A) 945	B) 678
C) 439	D) 568

Answer & Explanation Answer: A) 945

Explanation:

Required numbers are 10,15,20,25,...,95
This is an A.P. in which a=10,d=5 and l=95.
Let the number of terms in it be n.Then t=95
So a+(n-1)d=95.
10+(n-1)*5=95,then n=18.
Required sum=n/2(a+l)=18/2(10+95)=945.

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Filed Under: Numbers

115 43918

Q:

How many leap years does 100 years have?

A) 25	B) 24
C) 4	D) 26

Answer & Explanation Answer: B) 24

Explanation:

Given year is divided by 4, and the quotient gives the number of leap years.

Here, 100%4 = 25.

But, as 100 is not a leap year => 25 - 1= 24 leap years.

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Filed Under: Calendar

139 43913

Q:

What is the total length intercepted between both the axes by the line 8x+4y=40?

A) 5	B) 10
C) 15	D) 20

Answer & Explanation Answer: C) 15

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 43889

Q:

A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at $6 \frac{1}{4}$ p.a for 2 years. Find his gain in the transaction per year

A) Rs. 112.50	B) Rs.150.25
C) Rs.167.50	D) Rs.170

Answer & Explanation Answer: A) Rs. 112.50

Explanation:

$g a i n i n 2 y e a r s = R s . [(5000 * \frac{25}{4} * \frac{2}{100}) - (\frac{5000 * 4 * 2}{100})]$

= Rs. (625 - 400)

= Rs. 225

$g a i n i n 1 y e a r = R s . (\frac{225}{2}) = 112.50$

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

124 43851

Q:

What will come in place of question mark in the following equation ?

54.(?)3 + 543 + 5.43 = 603.26

A) 6	B) 1
C) 9	D) 8

Answer & Explanation Answer: D) 8

Explanation:

Let x + 543 + 5.43 = 603.26. Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83

Quantitative Aptitude - Arithmetic Ability Questions

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