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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The denominator of a rational number exceeds its numerator by 10. If the numerator is increased by 4 and the denominator is reduced by3, the number obtained is 5/6. The original rational number is

A) 11/12 B) 7/17
C) 9/19 D) 13/23
 
Answer & Explanation Answer: A) 11/12

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Filed Under: Problems on Numbers
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Q:

In a factory, 60 workers can stitch 120 m of clothes in 7 days, what length of clothes can be stitched by 70 workers in 5 days?

 

A) 100 m B) 90 m
C) 85 m D) 110 m
 
Answer & Explanation Answer: A) 100 m

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Filed Under: Time and Work
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Q:

The sum of two numbers is equal to thrice their difference. If the smaller of the numbers is 10 find the other number.

A) 15 B) 30
C) 40 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

Let larger number be x and smaller number be y.

Also, y = 10

According to question,

⇒(x + y) = 3((x –y)⇒(x + 10) = 3(x –10)

⇒2x = 40⇒x = 20

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Q:

Find the area (in cm²) of a semi-circle of radius 21 cm.

A) 1386 B) 960
C) 693 D) 1920
 
Answer & Explanation Answer: C) 693

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Filed Under: Area
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Q:

The shadow of a tower when the angle of elevation of the sun is 45°, is found to be 10 m longer than when it was 60° . The height of the tower is

A) 5(√3 - 1) m B) 5(√3 + 1) m
C) 10 (√3 - 1) m D) 10 (√3 + 1) m
 
Answer & Explanation Answer: B) 5(√3 + 1) m

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Filed Under: Height and Distance
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Q:

Calculate the ratio of the area of two similar triangles if the sides of the triangles are in the ratio of 9:4.

 

A) 9:4   B) 3:2  
C) 81:16   D) 27:8
 
Answer & Explanation Answer: C) 81:16  

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Filed Under: Area
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Q:

If 5 -­ 5x < 4 -­ x and 2 -­ x < 6 -­ 4x, then x can take which of the following values?

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

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Filed Under: Simplification
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Q:

If x - √x = 20; Find the value of √x.

A) 5 B) 6
C) 8 D) 7
 
Answer & Explanation Answer: A) 5

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