Aptitude and Reasoning Questions

Q:

Common factor of 12a4b6, 18a6c2, 36a2b2 is

A) 36a2 B) 108b2
C) 6a2b2 D) 6a2
 
Answer & Explanation Answer: D) 6a2

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Q:

What is the value of tan3A?

A) (3tanA -­ tan3A)/(1 -­ 3tan2A) B) (3tanA + tan3A)/(1 + 3tan2A)
C) (3tanA -­ tan3A)/(1 + 3tan2A) D) (3tanA + tan3A)/(1-­ 3tan2A)
 
Answer & Explanation Answer: A) (3tanA -­ tan3A)/(1 -­ 3tan2A)

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Q:

The value of x for which the expressions 5x + 17 and 17x - 5 become equal is _____.

A) 11/6 B) -11/6
C) 6/11 D)  -6/11
 
Answer & Explanation Answer: A) 11/6

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Q:

If x = 1 + √2 + √3, then the value of x2-2x-4=0

A)  √6 B)  2√3
C)  3√2 D)  2√6 
 
Answer & Explanation Answer: D)  2√6 

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Q:

In these questions, the relationship between two elements is shown in the statements. These statements are followed by two conclusions.
Statement:
Z < L < W = N = K < A
Conclusion:
I. A > L
II. Z = A

A) If only conclusion I follow. B) If only conclusion II follow.
C) If either conclusion I or conclusion II follows. D) If neither conclusion I nor II follows.
 
Answer & Explanation Answer: A) If only conclusion I follow.

Explanation:

Z < L < W = N = K < A
For conclusion I -
L < W = N = K < A -
L < K < A
I. A > L (true) - It is clear that A is greater than L.
For conclusion II -
II. Z = A (false) Z = A is not confirm, so this is false.
Hence,only conclusion I follow.

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Q:

x, y be two acute angles, x + y < 90° and sin(2x - 20°) = cos(2y + 20°), the value of tan(x + y) is

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

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Filed Under: Area
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Q:

If the length of the side of an equilateral triangle is 8 cm, what is its area?

A) 32√3 sq cm B) 16 sq cm
C) 16√3 sq cm D) 32 sq cm
 
Answer & Explanation Answer: C) 16√3 sq cm

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Q:

In a certain code language, '+' represents 'x', '-' represents '+', 'x' represents '÷' and '÷' represents '-'. What is the answer to the following question?
550 x 22 - 24 + 3 = ?

A) 91 B) 97
C) 77 D) 71
 
Answer & Explanation Answer: B) 97

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Filed Under: Coding and Decoding
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