6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

5th January 2018 was a Friday. Which of the following years will also have 5th January on a Friday?

A) 2022	B) 2020
C) 2024	D) 2023

Answer & Explanation Answer: C) 2024

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

15 3781

Q:

In a hostel the rent per room is increased by 20%. If number of rooms in the hostel is also increased by 20% and the hostel is always full, then what is the percentage change in the total collection at the cash counter?

A) 30%	B) 40%
C) 44%	D) 48%

Answer & Explanation Answer: C) 44%

Explanation:

Let initial rent be rs 10

And initial rooms be 10

So initial collection = 10*10 = Rs 100

Now new rent = 10 + 20% of 10 = 12

New no of rooms = 10 + 20% of 10 = 12

So new collection = 12*12 = 144

% change in collection = (144-100)/100*100 = 44%

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Filed Under: Percentage
Exam Prep: Bank Exams

4 3776

Q:

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ?

A) 205	B) 194
C) 209	D) 159

Answer & Explanation Answer: C) 209

Explanation:

We may have (1 boy and 3 girls)or(2boys and 2 girls)or(3 boys and 1 girl)or(4 boys).

Required number of ways = ( ${}^{6}C_{1} \times {}^{4}C_{3}$ ) + $({}^{6}C_{2} \times {}^{4}C_{2})$ + ( ${}^{6}C_{3} \times {}^{4}C_{1}$ ) + ( ${}^{6}C_{4}$ )

= (24+90+80+15)

= 209.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

7 3774

Q:

16 of 225 is =

A) 7.11	B) 7.21
C) 6.87	D) 7.58

Answer & Explanation Answer: A) 7.11

Explanation:

16 of 225 is =

$16 = p \times \frac{225}{100} p = \frac{1600}{225} = 7.1111$

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

9 3759

Q:

64/12 in simplest form?

A) 19/6	B) 32/4
C) 16/3	D) None of the above

Answer & Explanation Answer: C) 16/3

Explanation:

64/12 = 16/3 in simplest form.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

5 3757

Q:

The sum of the two digits of a number is 8. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number ?

A) 28	B) 19
C) 37	D) 17

Answer & Explanation Answer: D) 17

Explanation:

Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.
P + Q = 8 ----- (1)
(10Q + P) - (10P + Q) = 54
9(Q - P) = 54
(Q - P) = 6 ----- (2)
Solve (1) and (2) P = 1 and Q = 7
The required number is = 17

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

1 3757

Q:

The B.D. and T.D. on a certain sum is Rs.200 and Rs.100 respectively. Find out the sum.

A) Rs. 400	B) Rs. 300
C) Rs. 100	D) Rs. 200

Answer & Explanation Answer: D) Rs. 200

Explanation:

$F = \frac{B D \times T D}{B D - T D} = \frac{200 \times 100}{200 - 100} = \frac{200 \times 100}{100} = R s . 200$

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Filed Under: Banker's Discount

1 3752

Q:

If $a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1} b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1} t h e n f i n d t h e v a l u e o f [\frac{a^{2} + a b + b^{2}}{a^{2} - a b + b^{2}}] i s : :$

A) 3/4	B) 4/3
C) 3/5	D) 5/3

Answer & Explanation Answer: B) 4/3

Explanation:

By simplifying, we get 4/3

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

7 3744

Quantitative Aptitude - Arithmetic Ability Questions

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