6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

(x-2) men can do a piece of work in x days and (x+7) men can do 75% of the same work in (x-10)days. Then in how many days can (x+10) men finish the work?

A) 27 days	B) 12 days
C) 25 days	D) 18 days

Answer & Explanation Answer: B) 12 days

Explanation:

$\frac{3}{4} \times (x - 2) x = (x + 7) (x - 10)$

$\Rightarrow x^{2} - 6 x - 280 = 0$

=> x= 20 and x=-14

so, the acceptable values is x=20

Therefore, Total work =(x-2)x = 18 x 20 =360 unit

Now 360 = 30 x k

=> k=12 days

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Filed Under: Time and Work

77 32447

Q:

The maximum gap between two successive leap year is?

A) 4	B) 8
C) 2	D) 1

Answer & Explanation Answer: B) 8

Explanation:

This can be illustrated with an example.

Ex: 1896 is a leap year.The next leap year comes in 1904 (1900 is not a leap year).

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Filed Under: Calendar

187 32445

Q:

At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

A) 30 points	B) 20 points
C) 10 points	D) 12 points

Answer & Explanation Answer: C) 10 points

Explanation:

A : B = 60 : 45.

A : C = 60 : 40.

B/C = (B/A*A/C) = (45/60*60/45) = 45/40 = 90/80 = 90:80

B can give C 10 points in a game of 90.

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Filed Under: Races and Games

28 32445

Q:

Given w = -2, x = 3, y = 0 & z = -1/2, find the value of $w^{2} \sqrt{(z^{2} + y^{2})}$

A) +-2	B) -2
C) 2	D) 4

Answer & Explanation Answer: C) 2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 32439

Q:

Find the odd man out?

12, 48, 168, 502, 1260

A) 48	B) 168
C) 502	D) 1260

Answer & Explanation Answer: C) 502

Explanation:

The given series is 12, 48, 168, 502, 1260

12

12 x 4 = 48

48 x 3.5 = 168

168 x 3 = 504

504 x 2.5 = 1260

Hence, the odd man out in the given series is 502.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

4 32411

Q:

What will be the value of that smallest positive integer N, such that $\sqrt{294 N}$ is an integer?

A) 2	B) 4
C) 6	D) 8

Answer & Explanation Answer: C) 6

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 32396

Q:

If (8, 2) is a solution of x + 4y - 2k = 0 then find the value of k2.

A) 36	B) 49
C) 64	D) 81

Answer & Explanation Answer: C) 64

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 32395

Q:

From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:

A) 15	B) 16
C) 25	D) 31

Answer & Explanation Answer: A) 15

Explanation:

Let quantity of mixture be x liters.

Suppose a container contains x units of liquid from which y units are taken out and replaced by Water. After operations , the quantity of pure liquid = $x {(1 - \frac{y}{x})}^{n}$ units, Where n = no of operations .

So, Quantity of Milk = $x {(1 - \frac{6}{x})}^{2}$

Given that, Milk : Water = 9 : 16

=> Milk : (Milk + Water) = 9 : (9+16)

=> Milk : Mixture = 9 : 25

Therefore, $\frac{x {(1 - \frac{6}{x})}^{2}}{x} = \frac{9}{25}$

=> x = 15 liters

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Filed Under: Alligation or Mixture

67 32359

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