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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The age of Ravi is twice the age of Prakash and three times the age of Kumar. If the age of Prakash is 24 years, then what will be the age of Kumar after 4 years ?

A) 16 years B) 20 years
C) 24 years D) 22 years
 
Answer & Explanation Answer: B) 20 years

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Filed Under: Problems on Ages
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Q:

If the edge of a cube is increased by 3 cm, the volume will increase by 657 cub.cm. What then is the original length of each edge of the cube?

A) 9 cm B) 6 cm
C) 8 cm D) 7 cm
 
Answer & Explanation Answer: B) 6 cm

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Filed Under: Volume and Surface Area
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Q:

In the following question, select the odd number from the given alternatives.

A) 216 B) 125
C) 343 D) 510
 
Answer & Explanation Answer: D) 510

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Filed Under: Odd Man Out
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Q:

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

A) 55 B) 56
C) 60 D) 64
 
Answer & Explanation Answer: B) 56

Explanation:

In the below equation,

x2–15x + r = 0

sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)

product of roots = pq = r/1 = r     (product of roots for equation ax2+ bx + c is c/a)

given p –q = 1

also we know that p+q = 15

subtracting the squares of both

(p+q)2 + (p-q)2 = 15^2–1

p2 + q2 + 2pq –p2 –q2 +2pq = 225 -1

4pq = 224

4r = 224

r = 56

 

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Filed Under: Simplification
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Q:

If cosec ­4π/3 = x, then the value of x is

A) √2 B) 2/√3
C) √2 D) -1/√3
 
Answer & Explanation Answer: B) 2/√3

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Filed Under: Simplification
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Q:

A does 60% of a work in 15 days. He then calls B, and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?

A) 25 days B) 20 days
C) 80 days D) 24 days
 
Answer & Explanation Answer: A) 25 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

What is the average of first 19 odd numbers?

A) 9.5 B) 15.5
C) 19 D) 38
 
Answer & Explanation Answer: C) 19

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Filed Under: Average
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Q:

If each median of an equilateral triangle has a length of 12cm. Then what will be the value of in-radius (in cm) of the equilateral triangle?

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: B) 4

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Filed Under: Simplification
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