Quantitative Aptitude - Arithmetic Ability Questions

Q:

In a committee there are 25 members. If two members whose ages are 64 years and 40 years are replaced by the two new members, then average age of 25 members is decreased by 2 years. What is the average age (in years) of the new members?

 

A) 27 B) 32
C) 38 D) 44
 
Answer & Explanation Answer: A) 27

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Filed Under: Problems on Ages
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Q:

What least value must be assigned to '*' so that the number 63576 * 2 is divisible by 8?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

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Filed Under: Problems on Numbers
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Q:

Rameshwar goes on a trip on his motor-cycle and rides for 405 kms. If he rides for 6 hours at a speed of 45 km/hr, find at what speed he travels for the remaining 3 hours of the journey?

A) 55 km/hr B) 52 km/hr
C) 45 km/hr D) 40 km/hr
 
Answer & Explanation Answer: C) 45 km/hr

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Filed Under: Time and Distance
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Q:

The effective annual rate of interest corresponding to a nominal rate of 15% per annum payable half-yearly is

A) 15.56 percent B) 30 percent
C) 31.13 percent D) 15 percent
 
Answer & Explanation Answer: A) 15.56 percent

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Filed Under: Simple Interest
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Q:

When a number is increased by 21, it becomes 114% of itself. What is the number?

A) 150 B) 252
C) 315 D) 189
 
Answer & Explanation Answer: A) 150

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Filed Under: Percentage
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Q:

The marked price of an article is Rs 2400. It is sold at two successive discounts of 10% and 15%. What is the selling price (in Rs) of the article?

 

A) 1836 B) 1924
C) 1848 D) 1976
 
Answer & Explanation Answer: A) 1836

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Filed Under: Percentage
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Q:

If 3 tan θ = cot θ where 0 < θ < π/2, then what is the value of θ ?

A) π/6 B) π/4
C) π/2 D) 1
 
Answer & Explanation Answer: A) π/6

Explanation:
3tan θ = cot θ 
3tan θ = 1/tan θ
tan2θ = 1/3
tan θ = 1/√3
θ = π/6
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Filed Under: Simplification
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Q:

What is the value of [1 – sin (90 – 2A)] / [1 + sin (90 + 2A)]?

A) sinA cosA B) cot2A
C) tan2A D) sin2A cosA
 
Answer & Explanation Answer: C) tan2A

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Filed Under: Simplification
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