Aptitude and Reasoning Questions

Q:

Simplify 5x(x + 2) + 4x

 

 

A) 5x2 + 10 B) 9x + 10
C) 5x2 - 14x D) 5x2 + 14x
 
Answer & Explanation Answer: D) 5x2 + 14x

Explanation:
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Q:

3, 11, 80, 291, 803

Find the odd man out of the number series?

A) 11 B) 803
C) 80 D) 291
 
Answer & Explanation Answer: C) 80

Explanation:

The given number series is 3, 11, 80, 291, 803

33 + 23 = 3 + 8 = 1111 + 43 = 11 + 64 = 75 (not 80)75 + 63 = 75 + 216 = 291291 + 83 = 291 + 512 = 803

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Q:

If sec θ + tan θ = 2, then sec θ - tan θ = ?

 

A) 0.5 B) 1.5
C) 1 D) 0.75
 
Answer & Explanation Answer: A) 0.5

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Q:

If x = 4 + √15, then what is the value of [x2 + (1/x2)]?

 

A) 62 B) 64
C) 34 D) 36
 
Answer & Explanation Answer: A) 62

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Q:

At what time between 9 and 10 o'clock will the hands of a watch be together?

A) (49 + 3/11) min past 11 B) (49 +1/11) min past 9
C) (45 +1/11) min past 9 D) (45 +7/11) min past 11
 
Answer & Explanation Answer: B) (49 +1/11) min past 9

Explanation:

To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces.
55 min. spaces gained in 60 min.

 

45 min. spaces are gained in 6055×45 min  or 49111min

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Q:

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

A) 1260 B) 1400
C) 1250 D) 1600
 
Answer & Explanation Answer: A) 1260

Explanation:

A team of 6 members has to be selected from the 10 players. This can be done in 10C6 or 210 ways. 

Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210×6= 1260

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Q:

Find the value of 76413+ 2713314

 

A) 7 B) 6
C) 49 D) 343
 
Answer & Explanation Answer: A) 7

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Q:

Odd man out of the series

90 72 56 42 36 20

A) 20 B) 36
C) 42 D) 56
 
Answer & Explanation Answer: B) 36

Explanation:

The given number series is 90 72 56 42 36 20

9 x 10 = 90

8 x 9 = 72

7 x 8 = 56

6 x 7 = 42

5 x 6 = 30 (not 36) 

4 x 5 = 20

 

Hence, the odd man in the given number series is 36.

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