6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a test, 14% of the students failed in Maths and 22% failed in Hindi. If 18% of the students failed in both the subjects, then the percentage of students who passed in both the subjects is

A) 46	B) 44
C) 42	D) 40

Answer & Explanation Answer: A) 46

Explanation:

Let the number of students = 100

Number of students who failed in one or more subjects = 14 + 22 + 18 = 54%

The percentage of students who passed in both the subjects = 100 - 54 = 46%.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 3590

Q:

Out of seven consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?

A) 25200	B) 25000
C) 25225	D) 24752

Answer & Explanation Answer: A) 25200

Explanation:

Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) =( $C_{3}^{7} \times C_{2}^{4}$ ) = 210.

Number of groups, each having 3 consonants and 2 vowels =210

Each group contains 5 letters.

Number of ways of arranging 5 letters among themselves = 5! = 120.

Required number of words = (210 x 120) = 25200.

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams
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8 3587

Q:

5% of 40,000 is

A) 20000	B) 2000
C) 200	D) 20

Answer & Explanation Answer: B) 2000

Explanation:

5% of 40,000 = $\frac{5}{100} \times 40, 000 = 5 \times 400 = 2, 000$

Hence, 5% of 40,000 = 2,000.

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Filed Under: Percentage
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7 3581

Q:

Jaclyn buys $50 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the total amount collected at the end of the term.

A) 8125	B) 9125
C) 7125	D) 6125

Answer & Explanation Answer: C) 7125

Explanation:

total interest=1187.50*6

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

1 3571

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 3567

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
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1 3561

Q:

7, 16, 36, 78, 144, ?

which number come in place of question mark

A) 168	B) 196
C) 222	D) 256

Answer & Explanation Answer: C) 222

Explanation:

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Filed Under: Numbers
Exam Prep: Bank Exams
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43 3560

Q:

If each of the vowels in the word 'MEAT' is kept unchanged and each of the consonants is replaced by the previous letter in the English alphabet, how many four-lettered meaningful words can be formed with the new letters, using each letter only once in each word?

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

Quantitative Aptitude - Arithmetic Ability Questions

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