6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be ?

A) 900 mts	B) 300 mts
C) 250 mts	D) 500 mts

Answer & Explanation Answer: D) 500 mts

Explanation:

Using pythagarous theorem,
distance travelled by first train = 36x5/18x30 = 300m
distance travelled by second train = 48x5/18x30 = 400m
so distance between them =√( 90000 + 160000) = √250000 = 500mts.

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Filed Under: Time and Distance
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8 7012

Q:

Derivative of sinx by first principle?

A) -sinx	B) -cosx
C) cosx	D) sinx

Answer & Explanation Answer: C) cosx

Explanation:

Screenshot_(1)1519127168.png image

Thus, the derivative of sinx by first principle is cosx.

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Filed Under: Simplification
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4 7007

Q:

Find the area of a square, one of whose diagonals is 3.8 m long.

A) 4.22 sq.m	B) 5.22 sq.m
C) 6.22 sq.m	D) 7.22 sq.m

Answer & Explanation Answer: D) 7.22 sq.m

Explanation:

Area of the square = $\frac{1}{2} \times {(d i a g o n a l)}^{2}$ = 1/2 * 3.8 * 3.8 = 7.22 sq.m

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

2 6996

Q:

A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ?

A) 97 %	B) 110 %
C) 135 %	D) 115 %

Answer & Explanation Answer: B) 110 %

Explanation:

% Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.

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Filed Under: Profit and Loss
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2 6994

Q:

A merchant commences with a certain capital and gains annually at the rate of 30 per cent. At the end of 2 years he has worth Rs 10,000. What was the original capital?

A) Rs. 4987	B) Rs. 5148
C) Rs. 5917	D) Rs. 6254

Answer & Explanation Answer: C) Rs. 5917

Explanation:

Let the Original capital amount be Rs. P

Given after 2 years the amount is Rs. 10000

Rate of interest = 30%

According to the question,

$P x \frac{130}{100} x \frac{130}{100} = 10000 = > P = \frac{1000000}{169} = 5917$

Therefore, the capital amount P = Rs. 5917

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Filed Under: Percentage
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6 6994

Q:

There are fourteen juniors and twenty-three seniors in the Service Club. The club is to send four representatives to the State Conference. If the members of the club decide to send two juniors and two seniors, how many different groupings are possible ?

A) 23024	B) 24023
C) 23023	D) 25690

Answer & Explanation Answer: C) 23023

Explanation:

Choose 2 juniors and 2 seniors.

$14 C_{2} * 23 C_{2} = 23023$

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Filed Under: Permutations and Combinations

1 6990

Q:

Find the speed of stream if a boat covers 36 km in downstream in 6 hours which is 3 hours less in covering the same distance in upstream?

A) 1.5 kmph	B) 1 kmph
C) 0.75 kmph	D) 0.5 kmph

Answer & Explanation Answer: B) 1 kmph

Explanation:

Speed of the boat upstream = 36/9 = 4 kmph

Speed of the boat in downstream = 36/6 = 6 kmph

Speed of stream = 6-4/2 = 1 kmph

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Filed Under: Boats and Streams
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18 6988

Q:

One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is neither a spade nor a king.

A) 0	B) 9/13
C) 1/2	D) 4/13

Answer & Explanation Answer: B) 9/13

Explanation:

There are 13 spades ( including one king). Besides there are 3 more kings in remaining 3 suits

Thus n(E) = 13 + 3 = 16

Hence $n (\bar{E}) = 52 - 16 = 36$

Therefore, $P (E) = \frac{36}{52} = \frac{9}{13}$

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Filed Under: Probability

6 6977

Quantitative Aptitude - Arithmetic Ability Questions

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