6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

ΔPQR is right angled at Q. If m∠R= $30^{0}$ , then find the value of (cosP - 1/3).

A) 1/6	B) (2√2-1)/√2
C) -1/√3	D) (√3-4)/2√3

Answer & Explanation Answer: A) 1/6

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

1 42411

Q:

In a zoo, there are rabbits and pigeons. If heads are counted, there are 340 heads and if legs are counted there are 1060 legs.How many pigeons are there?

A) 120	B) 150
C) 170	D) 180

Answer & Explanation Answer: B) 150

Explanation:

Suppose there are all the pigeons then total no of heads are 340 and total no of legs are 680.

Now, since 380 (1060-680) legs are extra, it means there will be 190 (380/2) rabbits.As we know a rabbit has two extra legs than that of a pigeon.

Therefore, number of rabbits =190

and number of pigeons = 340- 190 = 150

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Filed Under: Ratios and Proportions

165 42388

Q:

If the cost price is 25% of selling price. Then what is the profit percent.

A) 150%	B) 200%
C) 300%	D) 350%

Answer & Explanation Answer: C) 300%

Explanation:

Let the S.P = 100
then C.P. = 25

Profit = 75

Profit% = (75/25) * 100 = 300%

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Filed Under: Profit and Loss

193 42318

Q:

x and y are integers

x + y < 11 , and x > 6

What is the smallest possible value of x - y ?

A) 1	B) 24
C) 4	D) -2

Answer & Explanation Answer: C) 4

Explanation:

The smallest value will be obtained by giving x the smallest possible value while y gets the largest possible value. The smallest value for x = 7. This means that y will have to be less than or equal to 3 (so that x + y <11), but we want the largest value of y which is 3.

The difference, x - y will be 4.

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Filed Under: Problems on Numbers
Exam Prep: GRE

4 42288

Q:

Find the ratio of the areas of the incircle and circumcircle of a square.

A) 1:1	B) 1:2
C) 1:3	D) 1:4

Answer & Explanation Answer: B) 1:2

Explanation:

Let the side of the square be x. Then, its diagonal = $\sqrt{2 x^{2}} = \sqrt{2 x}$

Radius of incircle = $\frac{x}{2}$

Radius of circum circle= $\sqrt{2} \times \frac{x}{2} = \frac{x}{\sqrt{2}}$

Required ratio = $\frac{{πx}^{2}}{4} : \frac{{πx}^{2}}{2} = \frac{1}{4} : \frac{1}{2} = 1 : 2$

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

83 42286

Q:

$\frac{3}{5} + \frac{3}{7} = ?$

A) 935	B) 612
C) 1135	D) 635

Answer & Explanation Answer: C) 1135

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 42253

Q:

What is the value of (1/√3 - sin45)?

A) 1/2√3	B) (√2-√3)/√6
C) 1-√2	D) (4-√3)/2

Answer & Explanation Answer: B) (√2-√3)/√6

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 42241

Q:

What is the value of (√2/3 - cosec60)?

A) (√6-6)/3√3	B) (2-2√3)/√3
C) (1-√6)/√2	D) (4-√3)/2√3

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