Aptitude and Reasoning Questions

Q:

If (cotA - cosecA)2 = x, then the value of x is

A) (1 - cosA)/(1 + cosA) B) (1 - sinA)/(1 + sinA)
C) (1 - secA)/(1 + secA) D) (1 - cosecA)/(1 + cosecA)
 
Answer & Explanation Answer: A) (1 - cosA)/(1 + cosA)

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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:

The weights of 4 boxes are 30, 20, 50 and 90 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?

A) 200 B) 190
C) 140 D) 160
 
Answer & Explanation Answer: A) 200

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Filed Under: Arithmetical Reasoning
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Q:

If 4r = h + r2+h2  then r: h = ? (r not equal to 0)

A) 17:8 B) 8:17
C) 8:15 D) 15:8
 
Answer & Explanation Answer: C) 8:15

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Q:

The lengths of the two diagonals of a rhombus are 5 cm and 12 cm. Find its area (in cm2)

A) 30 B) 15
C) 60 D) 45
 
Answer & Explanation Answer: A) 30

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Q:

The mean of the 5 smallest numbers from a group is 15 while the mean of all the 13 members of the group taken together is 17. What is the mean of the 8 largest numbers?

A) 18.50 B) 17.75
C) 18.75 D) 18.25
 
Answer & Explanation Answer: D) 18.25

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Q:

What is the value of cot 11π/6?

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

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Q:

If Tan θ = 7/24, then what is the value of Cosec θ?

A) 25/24 B) 25/7
C) 24/7 D) 24/25
 
Answer & Explanation Answer: B) 25/7

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