Aptitude and Reasoning Questions

Q:

If cosθ = 4/5, then (secθ + cosecθ) =

 

A) 7/5 B) 15/12
C) 35/12 D) 12/5
 
Answer & Explanation Answer: C) 35/12

Explanation:
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Q:

What is the simplified value of 

117-16-116-15+115-14-114-13+113-12 ?

A) 4 – 2√3 B) √17 – 3√2
C) √17 + √12 D) 4 + 2√3
 
Answer & Explanation Answer: C) √17 + √12

Explanation:
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Q:

If x = 0.139, then what is the value of  4x2 + 4x + 1 ?

 

A) 1.39 B) 1.278
C) 2.139 D) 1.69
 
Answer & Explanation Answer: B) 1.278

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Q:

What is the number that should come in the place of question mark ?

1050    420    168     67.2     ?

A) 19.11 B) 14.25
C) 10.752 D) 26.88
 
Answer & Explanation Answer: D) 26.88

Explanation:

Given series follows the rule of

1050/2.5 = 420
420/2.5 = 168
168/2.5 = 67.2
so 67.2/2.5 = 26.88

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Filed Under: Number Series
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Q:

Find the next number in the following number series?

11, 13, 30, 96, ?

A) 264 B) 392
C) 412 D) 459
 
Answer & Explanation Answer: B) 392

Explanation:

The given number series 11, 13, 30, 96, ? follows a pattern that,

11

11 x 1 + 2 = 13

13 x 2 + 4 = 30

30 x 3 + 6 = 96

96 x 4 + 8 = 392

 

Hence, the next number in the given series is 392.

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Filed Under: Odd Man Out
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Q:

ΔDEF is right angled at E. If m∠F = 30 deg, then find the value of (cosD - 1/√2).

 

A) -1/2   B) (√6-1)/√3  
C) (√2-2)/2√2   D) √3-2
 
Answer & Explanation Answer: C) (√2-2)/2√2  

Explanation:
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Q:

Find out the two signs to be interchanged for making following equation correct

5 + 3 x 8 - 12 / 4 =3

A) + and - B) - and /
C) + and x D) + and /
 
Answer & Explanation Answer: B) - and /

Explanation:

On interchanging - and /, we get the equation as

5 + 3 x 8 / 12 - 4 = 3

or 5 + 3 x (2/3) - 4 = 3

or 3 = 3, which is true.

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Q:

For how many positive integers 'n', n3 - 8n2 + 20n - 13 is a prime?

 

A) 3 B) 2
C) 5 D) 7
 
Answer & Explanation Answer: A) 3

Explanation:
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