6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $Sin 31^{°} = \frac{x}{y}$ , then the value of Sec 31° - Sin 59° is

A) x2yy2-x2	B) -x2yy2-x2
C) -y2y2-x2	D) x

Answer & Explanation Answer: A) x2yy2-x2

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The compound interest earned in two years at 12% per annum is Rs 10176. What is the sum (in Rs) invested?

A) 50000	B) 60000
C) 40000	D) 80000

Answer & Explanation Answer: C) 40000

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Filed Under: Compound Interest
Exam Prep: Bank Exams

5 1879

Q:

If x - y = 7 and xy = 32, then value of $(x^{2} + y^{2})$ is

A) 49	B) 64
C) 113	D) 15

Answer & Explanation Answer: C) 113

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Filed Under: Simplification
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Q:

$\cot^{3} A$ is equal to

A) 3cotA - cot3A(1 - 3cot2A)	B) 3cotA + cot3A(1 - 3cot2A)
C) 3cotA - cot3A(1 + 3cot2A)	D) 3cotA + cot3A(1 + 3cot2A)

Answer & Explanation Answer: A) 3cotA - cot3A(1 - 3cot2A)

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Filed Under: Simplification
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Q:

Cost price of 28 articles is equal to Sale price of 21 articles, then percentage of profit is

A) 12%	B) 33 1⁄3 %
C) 20%	D) 22%

Answer & Explanation Answer: B) 33 1⁄3 %

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

The average age of 80 boys in a class is 15 years. The average age of a group of 15 boys in the class is 16 years and the average age of another 25 boys in the class is 14 years. What is the average age of the remaining boys in the class?

A) 15.25 years	B) 14 years
C) 14.75 years	D) Cannot be determined

Answer & Explanation Answer: A) 15.25 years

Explanation:

Total sum of age of 80 students of the class = 15 X 80 = 1200 years
15 students → 15 X 16 = 240 years
25 students → 25 X 14 = 350 years
Sum of 40 students = 590 years
Total age of remaining 40 students = 1200 – 590 = 610
So, average age = 15.25 years

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

In a mixture, unbroken and broken rice grains are in the ratio 3 : 2. How much fraction of the mixture must be drawn off and substituted with broken grains, so that the ratio of unbroken and broken grains becomes 1 : 1?

A) 1/3	B) 1/6
C) 1/4	D) 2/5

Answer & Explanation Answer: B) 1/6

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

4 1879

Q:

Deepanshu lent Rs. 8400 to Jaipal for 15 years and Rs. 5100 to Kareem for 14 years on simple interest at the same rate of interest and received Rs. 17766 in all from both of them as interest. The rate of interest per annum is

A) 9.5 percent	B) 10 percent
C) 10.5 percent	D) 9 percent

Quantitative Aptitude - Arithmetic Ability Questions

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