Aptitude and Reasoning Questions

Q:

The value of 8(sin6θ + cos6θ) - 12(sin4θ + cos4θ) is equal to

A) 20 B) -20
C) 4 D) -4
 
Answer & Explanation Answer: D) -4

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Q:

What is the value of Cot 45° - (1/√3)Cosec 60°?

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

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Q:

In a Δ ABC, DE || BC. D and E lie on AB and AC respectively. If AB = 7 cm and BD = 3cm, then find BC:DE

A) 2:2 B) 3:2
C) 3.5:2 D) 7:2
 
Answer & Explanation Answer: C) 3.5:2

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Q:

10 persons can do a job in X days. If 20 persons with twice the efficiency can do the same job in 5 days, then find the value of X?

A) 40 B) 15
C) 20 D) 30
 
Answer & Explanation Answer: C) 20

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Filed Under: Time and Work
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Q:

P is the brother of Q. Q is the brother of R. P is the son of S. Based these three statements, much of the following statements cannot be definitely true?

A) Q is the beadier of P B) Q is the son of S
C) P is the brother of R D) S is the father of Q
 
Answer & Explanation Answer: D) S is the father of Q

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Q:

If the time increases by 7 years, then simple interest increases by Rs 8400 on a sum of Rs 6000. What is the rate (in percentage) of interest per annum?

A) 18 B) 12
C) 20 D) 24
 
Answer & Explanation Answer: C) 20

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Q:

X alone can do a piece of work in 12 days and Y alone can do the same work in 6 days. In how many days will both together complete the same work?

A) 3 B) 4
C) 5 D) 2
 
Answer & Explanation Answer: B) 4

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Q:

If cos 2π/3c = x, then the value of x is

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

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