Quantitative Aptitude - Arithmetic Ability Questions

Q:

If Cot θ = 21/20, then what is the value of Cosec θ?

A) 21/29 B) 29/21
C) 20/29 D) 29/20
 
Answer & Explanation Answer: D) 29/20

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Q:

How many numbers are there from 300 to 700 which are divisible by 2, 3 and 7?

A) 7 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: C) 9

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Q:

If the standard deviation of a population is 6.5, what would be the population variance?

A) 40.25 B) 42.25
C) 18.25 D) 13
 
Answer & Explanation Answer: B) 42.25

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Q:

If a.sin 45°.cos 45°.tan60° = tan 245° ­ cos60° then find the value of a ?

A) 13 B) 3
C) 1 D) 32
 
Answer & Explanation Answer: A) 13

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Q:

10 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 88. What is the number?

A) 21 B) 20
C) 25 D) 30
 
Answer & Explanation Answer: C) 25

Explanation:

Let the number be x

When 10 is added, number = x + 10

When 7 is multiplied, number = 7 X (x + 10)

According to question,

⇒[7 X (x+10) / 5] –5 = 44

⇒7x + 70 = 49 X 5

⇒x + 10 = 35,

⇒x = 25

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Q:

If 5x - ­5(3x ­- 2) < 4x -­ 1 < 2 + 2x, then x can take which of the following values?

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

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Q:

If 2 + 4x < 5 - x/2 and 3x + 3 > -5 - 3x; then x can take which of the following values?

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

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Q:

An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm . When a few solid spherical metallic balls each of radius 1⁄2 cm are dropped in the vessel , 25% water is overflowed. The number of balls is:

A) 100 B) 400
C) 200 D) 150
 
Answer & Explanation Answer: A) 100

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