6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

$[\frac{3 \sqrt{2}}{\sqrt{6} - \sqrt{3}} - \frac{4 \sqrt{3}}{\sqrt{6} - \sqrt{2}} - \frac{6}{\sqrt{8} - \sqrt{12}}] = ?$

A) sqtr{3}-sqrt{2}	B) sqtr{3}+sqrt{2}
C) 5sqrt{3}	D) 1

Answer & Explanation Answer: C) 5sqrt{3}

Explanation:

Given Exp = $\frac{3 \sqrt{2}}{\sqrt{6} - \sqrt{3}} \times \frac{\sqrt{6} + \sqrt{3}}{\sqrt{6} + \sqrt{3}} - \frac{4 \sqrt{3}}{\sqrt{6} - \sqrt{2}} \times \frac{\sqrt{6} + \sqrt{2}}{\sqrt{6} + \sqrt{2}} - \frac{6}{2 (\sqrt{2} - \sqrt{3})}$

= $\frac{3 \sqrt{2} (\sqrt{6} + \sqrt{3})}{6 - 3} - \frac{4 \sqrt{3} (\sqrt{6} + \sqrt{2})}{6 - 2} + \frac{3}{(\sqrt{3} - \sqrt{2})} \times \frac{(\sqrt{3} + \sqrt{2})}{(\sqrt{3} + \sqrt{2})}$

= $\sqrt{2} (\sqrt{6} + \sqrt{3}) - \sqrt{3} (\sqrt{6} + \sqrt{2}) + 3 (\sqrt{3} + \sqrt{2})$

= $\sqrt{12} + \sqrt{6} - \sqrt{18} - \sqrt{6} + 3 \sqrt{3} + 3 \sqrt{2}$

= $5 \sqrt{3}$

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Filed Under: Square Roots and Cube Roots

4 3620

Q:

A container contains 165 litres of milk. Some quantity of milk is taken out and half of that quantity of milk, water is added in the container. Now ratio of milk to water in the container becomes 5:3. What is the quantity of water added in it?

A) 40 litre	B) 45 litre
C) 60 litre	D) 30 litre

Answer & Explanation Answer: B) 45 litre

Explanation:

Let amount of milk removed = 2x litre
So, amount of water added = x litre
Now → (165 − 2x)/x = 5/3
x = 45 lit

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

8 3619

Q:

The average of 50 consecutive natural numbers is x. What will be the are average when the next four natural numbers are also included?

A) x + 1	B) x + 2
C) x + 4	D) x + (x/54)

Answer & Explanation Answer: B) x + 2

Explanation:

Sum of n consecutive natural numbers = n(n+1)/2

Average of n consecutive natural numbers = (n+1)/2

For first 50 average = 51/2 = x

Last 50 average = 55/2 = x+2

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Filed Under: Average
Exam Prep: Bank Exams

2 3609

Q:

Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77, but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ?

A) Rs. 13 and Rs. 17	B) Rs. 17 and Rs. 19
C) Rs. 23 and Rs. 17	D) Rs. 13 and Rs. 19

Answer & Explanation Answer: A) Rs. 13 and Rs. 17

Explanation:

If fares for cities L and M from K are x and y respectively, then

2x + 3y = 77 or 6x + 9y = 231...(1)
3x + 2y = 73 or 6x + 4y = 146...(2)

subtracting 2 from 1, we get

5y = 85

y = Rs. 17 => x = Rs. 13

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

2 3606

Q:

If the 14th September of an year is a Tuesday, then which day of the week will the 17th October of the same year be?

A) Thursday	B) Saturday
C) Sunday	D) Monday

Answer & Explanation Answer: C) Sunday

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

14 3605

Q:

A showroom on its anniversary gives a discount of 18% on marked price of bikes. Raghuram purchases a bike in Rs. 54,540. What is the marked price of bike?

A) Rs. 63548	B) Rs. 66512
C) Rs. 65000	D) Rs. 67857

Answer & Explanation Answer: B) Rs. 66512

Explanation:

The discount offered by showroom = 18%

Raghu purchased at Rs. 54540

Then,

The marked price is given by

54540 x 100/82

=~ Rs. 66,512

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

7 3601

Q:

Tushar takes 6 hours to complete a piece of work, while Amar completes the same work in 10 hours. If both of them work together, then what is the time required to complete the work?

A) 3 hours	B) 3 hours 15 minutes
C) 3 hours 30 minutes	D) 3 hours 45 minutes

Answer & Explanation Answer: D) 3 hours 45 minutes

Explanation:

Let them take x hours working together

1/x = 1/10 + 1/6 = 8/30

X= 30/8 hours = 15/4 hours = 3 hours 45 minutes

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Filed Under: Time and Work
Exam Prep: Bank Exams

1 3599

Q:

B starts 4 minutes after A from the same point, for a place at a distance of 7 miles from the starting point. A on reaching the destination turns back and walks a mile where he meets B. If A's speed is a mile in 8 minutes then B's speed is a mile in ____ minutes.

A) 9	B) 12
C) 10	D) 8

Quantitative Aptitude - Arithmetic Ability Questions

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