6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

P, Q and R alone can complete a work in 12, 15 and 20 days respectively. In how many days will they together complete the same work?

A) 4	B) 5
C) 6	D) 3.5

Answer & Explanation Answer: D) 3.5

Explanation:

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Q:

If (1/cos θ) – (1/cot θ) = 1/P, then what is the value of cos θ?

A) (P + 1)/(P – 1)	B) (P2+ 1)/2P
C) 2(P2+ 1)/P	D) 2P/(P2+ 1)

Answer & Explanation Answer: D) 2P/(P2+ 1)

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If I walk at 7/6 of my usual speed, then I reach my office 15 minutes early. What is the usual time taken (in minutes) by me to reach the office?

A) 60	B) 75
C) 90	D) 105

Answer & Explanation Answer: D) 105

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

PQRS is a square whose side is 20 cm. By joining opposite vertices of PQRS are get four triangles. What is the sum of the perimeters of the four triangles?

A) 40√2	B) 80√2 + 80
C) 40√2 + 40	D) 40√2 + 80

Answer & Explanation Answer: B) 80√2 + 80

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

If $(2$ ³)2= 4x then $3^{x}$ is equal to

A) 3	B) 6
C) 9	D) 27

Answer & Explanation Answer: D) 27

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Q:

If 3P/5 = 7Q/2 = 7R/5, then what is the ratio of p, Q and R respectively?

A) 3 : 2 : 5	B) 3 : 35 : 14
C) 5 : 7 : 5	D) 35 : 6 : 15

Answer & Explanation Answer: D) 35 : 6 : 15

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Q:

If $\frac{a}{b + c} = \frac{b}{c + a} = \frac{C}{b + a}$ then which one of the following statements is correct?

A) Each fraction is equal to 1 or -1	B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1	D) Each fraction is equal to 1.2 only

Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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Q:

In a class of 60 students there are 20 girls who scored an average of 40 marks in the test, what is the average marks of the boys if the class average is 60 marks?

A) 60	B) 70
C) 50	D)

Quantitative Aptitude - Arithmetic Ability Questions

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