6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The ratio of efficiency of A is to C is 5:3. The ratio of number of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C started the work and left after 2 days. The number of days taken by A to finish the remaining work is:

A) 4.5	B) 5
C) 6	D) 9 1/3

Answer & Explanation Answer: C) 6

Explanation:

A : C

Efficiency 5 : 3

No of days 3x : 5x

Given that, 5x-6 =3x => x = 3

Number of days taken by A = 9

Number of days taken by C = 15

B : C

Days 2 : 3

Therefore, Number of days taken by B = 10

Work done by B and C in initial 2 days = $2 [\frac{1}{10} + \frac{1}{15}]$ = 1/3

Thus, Rest work =2/3

Number of days required by A to finish 2/3 work = (2/3) x 9 = 6 days

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Filed Under: Time and Work

81 32857

Q:

Find the total surface area (in cm2) of a hemisphere of diameter 21 cm.

A) 1039.5	B) 844.5
C) 637	D) 472

Answer & Explanation Answer: A) 1039.5

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

2 32841

Q:

Find the odd word/letters/number pair from the given alternatives.

(A) KP

(B) MN

(C) HR

(D) GT

A) A	B) B
C) C	D) D

Answer & Explanation Answer: C) C

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

1 32787

Q:

Find the odd word/letters/number pair from the given alternatives.

A) Teacher and Student	B) Chemistry and Science
C) History and Mathematics	D) Air and Oxygen

Answer & Explanation Answer: C) History and Mathematics

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 32765

Q:

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?

A) Data inadequate	B) 8 units
C) 12 units	D) None of these

Answer & Explanation Answer: A) Data inadequate

Explanation:

One of AB, AD and CD must have given.

So, the data is inadequate.

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Filed Under: Height and Distance

25 32758

Q:

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

A) 36	B) 25
C) 42	D) 120

Answer & Explanation Answer: A) 36

Explanation:

There are 6 letters in the given word, out of which there are 3 vowels and 3 consonants.

Let us mark these positions as under:

(1) (2) (3) (4) (5) (6)

Now, 3 vowels can be placed at any of the three places out 4, marked 1, 3, 5.

Number of ways of arranging the vowels = $3 P_{3}$ = 3! = 6.

Also, the 3 consonants can be arranged at the remaining 3 positions.

Number of ways of these arrangements = $3 P_{3}$ = 3! = 6.

Total number of ways = (6 x 6) = 36.

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Filed Under: Permutations and Combinations

12 32744

Q:

In the following question, select the odd letter/letters from the given alternatives.

A) HM	B) KR
C) SX	D) GL

Answer & Explanation Answer: B) KR

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 32736

Q:

Consider the following grouped frequency distribution:

x f

0-10 8

10-20 12

20-30 10

30-40 p

40-50 9

If the mean of the above data is 25.2, then what is the value of p?

A) 9	B) 10
C) 11	D) 12

Answer & Explanation Answer: C) 11

Explanation:

Mean = (sum of fixi/ (sum of f) = (8*5 + 12*15 + 10*25 + P*35 +9*45) / (8+12+10+P+9) = 25.2

Quantitative Aptitude - Arithmetic Ability Questions

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