Aptitude and Reasoning Questions

Q:

If x – (1/x) = 3, then what is the value of (2x4 + 3x3 + 13x2  3x + 2) / (3x4 + 3)?

A) 1/3 B) 2/3
C) 4/3 D) 5/3
 
Answer & Explanation Answer: C) 4/3

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Q:

If α and β are roots of the equation 3x2  13x + 14 = 0, then what is the value of (α/β) + (β/α)?

A) 65/28 B) 53/14
C) 9 D) 85/42
 
Answer & Explanation Answer: D) 85/42

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Q:

If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a2 + b2 + c2 )?

A) 75 B) 83
C) 217 D) 225
 
Answer & Explanation Answer: B) 83

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Q:

If 3x2 = 102 - 52, find the value of x?

A) 7 B) 5
C) 9 D) 11
 
Answer & Explanation Answer: B) 5

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Q:

Find out the odd word/letters/number/number pair from the given alternatives.

A) 243 B) 687
C) 978 D) 456
 
Answer & Explanation Answer: D) 456

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

What is the value of (32 cos6x  48 cos4x + 18 cos2x  1)/[4 sin x cos x sin (60  x) cos (60  x) sin (60 + x) cos (60 + x)]?

A) 4 tan 6x B) 4 cot 6x
C) 8 cot 6x D) 8 tan 6x
 
Answer & Explanation Answer: C) 8 cot 6x

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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?

45 x 5 + 2 - 20 = ?

A) 17 B) 81
C) 38 D) 64
 
Answer & Explanation Answer: C) 38

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Filed Under: Coding and Decoding
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Q:

The sum of a fraction and 7 times its reciprocal is 11/2. What is the fraction?

A) 7/2 B) 2/7
C) 3/4 D) 4/3
 
Answer & Explanation Answer: A) 7/2

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Filed Under: Problems on Numbers
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