6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Area of the circle inscribed in a square of diagonal 6√2 cm (in sq cm) is

A) 9 Π	B) 6 Π
C) 3 Π	D) 9√2 Π

Answer & Explanation Answer: A) 9 Π

Explanation:

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams

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Q:

Sum of factors of $4 b^{2} c^{2} - (b$ ²+c²-a²)2 is

A) a + b + c	B) 2(a + b + c)
C) 0	D) 1

Answer & Explanation Answer: B) 2(a + b + c)

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 3172

Q:

A bottle is full of dettol. One-third of it is taken out and then an equal amount of water is poured into the bottle to fill it. This operation is done four times. Find the final ratio of dettol and water in the bottle.

A) 13 : 55	B) 20 : 74
C) 16 : 65	D) 10 : 48

Answer & Explanation Answer: C) 16 : 65

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

2 3169

Q:

If a person repaid Rs. 22500 after 10 years of borrowing a loan, at 10% per annum simple interest find out what amount did he take as a loan?

A) 11,225	B) 11,250
C) 10,000	D) 7,500

Answer & Explanation Answer: B) 11,250

Explanation:

SI = PTR/100

SI = PX100/100

SI = P

So, Amount=P+SI=2P→22500 = 2P→P = 11250

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Filed Under: Simple Interest
Exam Prep: Bank Exams

4 3165

Q:

If a= $x^{\frac{1}{3}} y^{\frac{1}{3}} + x^{\frac{- 1}{3}} y^{\frac{- 1}{3}}$ then $a^{3} - 3 a y - x$ is equal to

A) y^2x	B) x^2y
C) a^2x	D) a^2y

Answer & Explanation Answer: A) y^2x

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

7 3165

Q:

A man travels some distance at a speed of 12 km/hr and returns at a speed of 9 km/hr. If the total time taken by him is 2 hrs 20 min, the distance is

A) 35 Km	B) 21 Km
C) 9 Km	D) 12 Km

Answer & Explanation Answer: D) 12 Km

Explanation:

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Filed Under: Time and Distance
Exam Prep: Bank Exams

1 3158

Q:

70000 a year is how much an hour?

A) 80	B) 8
C) 0.8	D) 0.08

Answer & Explanation Answer: B) 8

Explanation:

Given for year = 70000

=> 365 days = 70000

=> 365 x 24 hours = 70000

=> 1 hour = ?

70000/365x24 = 7.990 = 8

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 3158

Q:

Find the probability that one ball is white when two balls are drawn at random from a basket that contains 9 red, 7 white and 4 black balls.

A) 18/95	B) 18/190
C) 1/2	D) 91/190

Answer & Explanation Answer: D) 91/190

Explanation:

Total number of elementary events = $20 C_{2}$ ways =190

There are 7 white balls out of which one white can be drawn in 7 $C_{1}$ ways and one ball from remaining 13 balls can be drawn in $13 C_{1}$ ways.

So,favourable events = $7 C_{1} * 13 C_{1}$

Therfore,required probability = ( $7 C_{1} * 13 C_{1}$ )/ $20 C_{2}$ =91/90

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Filed Under: Probability

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Quantitative Aptitude - Arithmetic Ability Questions

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