Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of Cot 60°- Sec 45°?

A) (√2 - √3)/√6 B) (√3 - 3√2)/3
C) (1 - 2√2)/2 D) (1 - √3)/2
 
Answer & Explanation Answer: B) (√3 - 3√2)/3

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Q:

If a - b = 1 and ab = 6, then what is the value of a3- b3?

A) 21 B) 23
C) 19 D) 25
 
Answer & Explanation Answer: C) 19

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Q:

Product of 6ab, 3b and 4a is

A) 72a2b2 B) 144ab
C) 72ab D) 144a2b2
 
Answer & Explanation Answer: A) 72a2b2

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Q:

ABC is a right angled triangle. ∠BAC = 90 deg and ∠ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?

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

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Q:

If (1 - cos2A) = x, then the value of x is

A) cosecA B) sinA
C) tanA D) secA
 
Answer & Explanation Answer: B) sinA

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Q:

What is the value of 143 + 163 + 183 + ... + 303?

A) 134576 B) 120212
C) 115624 D) 111672
 
Answer & Explanation Answer: D) 111672

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Q:

24 men can do a piece of work in 17 days.How many men will be able to do it in 51 days ?

A) 8 B) 10
C) 12 D) 6
 
Answer & Explanation Answer: A) 8

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Q:

PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?

A) 8 – 4√2 B) 16 + 8√2
C) 16√2 – √16 D) 16 – 8√2
 
Answer & Explanation Answer: C) 16√2 – √16

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