6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

At what rate of compound interest per annum will a sum of rs.1200 becomes rs.1348.32 in 2 years

A) 66%%	B) 6.5%
C) 7%	D) 7.5%

Answer & Explanation Answer: A) 66%%

Explanation:

rate=r%

1200 (1+r/100)^2=1348.32

r=6%

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Analyst

42 32369

Q:

The area of an equilateral triangle is 16√3 sq.cm. Find its side in cm.

A) 8	B) 4
C) 16	D) 24

Answer & Explanation Answer: A) 8

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 32268

Q:

If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is :

A) 73/77	B) 7.3/77
C) 730/77	D) 7300/77

Answer & Explanation Answer: A) 73/77

Explanation:

x / y = 0.04 / 1.5 = 4 / 150 = 2 / 75.

= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77...

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Filed Under: Decimal Fractions

83 32107

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 31965

Q:

If p : q : r = 2 : 3 : 5, then what will be the ratio of (p + q + r) : (3p + q – r)?

A) 5 : 2	B) 10 : 17
C) 9 : 4	D) 5 : 4

Answer & Explanation Answer: A) 5 : 2

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

6 31964

Q:

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

A) 40 sec	B) 47sec
C) 33sec	D) none of these

Answer & Explanation Answer: C) 33sec

Explanation:

B runs 35 m in 7 sec.

B covers 200 m in (7/35*200) = 40 sec.

B's time over the course = 40 sec.

A's time over the course (40 - 7) sec = 33 sec.

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Filed Under: Races and Games

44 31961

Q:

A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:

A) gains Rs. 55	B) gains Rs. 50
C) loses Rs. 30	D) gains Rs. 30

Answer & Explanation Answer: B) gains Rs. 50

Explanation:

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Filed Under: True Discount

29 31914

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

Quantitative Aptitude - Arithmetic Ability Questions

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