Aptitude and Reasoning Questions

Q:

cot3A is equal to

A) 3cotA -­ cot3A(1 -­ 3cot2A) B) 3cotA + cot3A(1 -­ 3cot2A)
C) 3cotA -­ cot3A(1 + 3cot2A) D) 3cotA + cot3A(1 + 3cot2A)
 
Answer & Explanation Answer: A) 3cotA -­ cot3A(1 -­ 3cot2A)

Explanation:
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Filed Under: Simplification
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Q:

If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

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

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Q:

ΔABC a right angled triangle has ∠B = 90° and AC is hypotenuse. D is its circumcentre and AB = 3 cms, BC = 4 cms. The value of BD is

A) 3 cms B) 4 cms
C) 2.5 cms D) 5.5 cms
 
Answer & Explanation Answer: C) 2.5 cms

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Filed Under: Volume and Surface Area
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Q:

If tan x = 1, 0 < x < 90, then what is the value of 2 sin x cos x?

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

Explanation:

tan x = 1

then x = 45

2sin x. cos x = 2× 1/√2 x 1/√2 = 1

an x = 1
then
x = 45
o
2sin x. cos x =
2
×
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Q:

A girl walks 30m towards south, thn turning to her right she walks 30m, then turning to her left, she walks 20m, again she turns to her left and walks 30m. How far is she from her initial position?

A) 20 mtr B) 30 mtr
C) 50 mtr D) 60 mtr
 
Answer & Explanation Answer: C) 50 mtr

Explanation:
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Filed Under: Direction Sense Test
Exam Prep: Bank Exams

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Q:

The mean of 20 observations is 19. One more observation is included and the new mean becomes 20. The 21st observation is

A) 20 B) 30
C) 40 D) 42
 
Answer & Explanation Answer: C) 40

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Filed Under: Probability
Exam Prep: Bank Exams

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Q:

25% discount is offered on an item. By applying a promo code the customer wins 22% cash back. What is the effective discount?

A) 41.5 percent B) 50.63 percent
C) 47 percent D) 27.5 percent
 
Answer & Explanation Answer: A) 41.5 percent

Explanation:
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Filed Under: Percentage
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Q:

If x -­ y = 7 and xy = 32, then value of (x2 + y2) is

A) 49 B) 64
C) 113 D) 15
 
Answer & Explanation Answer: C) 113

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