Quantitative Aptitude - Arithmetic Ability Questions

Q:

The ratio 5 : 4 expressed as a percent equals :

A) 12.5 % B) 40 %
C) 80 % D) 125 %
 
Answer & Explanation Answer: D) 125 %

Explanation:

5 : 4 = 5/4 = ( (5/4) x 100 )% = 125%.

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Q:

What is the value of 'x' in 23x - 527x + 108x = -21 ?

 

A) 0.33 B) 1
C) 3 D) 9
 
Answer & Explanation Answer: C) 3

Explanation:
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Q:

4 men can repair a road in 7 hours. How many men are required to repair the road in 2 hours ?

A) 17 men B) 14 men
C) 13 men D) 16 men
 
Answer & Explanation Answer: B) 14 men

Explanation:

M x T / W = Constant
where, M= Men (no. of men)
T= Time taken
W= Work load
So, here we apply
M1 x T1/ W1 = M2 x T2 / W2
Given that, M1 = 4 men, T1 = 7 hours ; T2 = 2 hours, we have to find M2 =?
Note that here, W1 = W2 = 1 road, ie. equal work load.
Clearly, substituting in the above equation we get, M2 = 14 men.

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Q:

270 candidates appeared for an examination, of which 252 passed. The pass percentage is :

A) (91 + 1/3)% B) (93 + 1/3 )%
C) (97 + 1/3 )% D) (98 + 1/3) %
 
Answer & Explanation Answer: B) (93 + 1/3 )%

Explanation:

Pass percentage  =[(252/270)*100] % =280/3 % =9313 9 %

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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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Q:

Cos2 90° + Cosec2 90° - Cot2 45° = ?

 

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

Explanation:
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Q:

If the value of θ = 30°, then the value of tan2θ + cot2θ.

 

A) 1/3 B) 4/3
C) 9/3 D) 10/3
 
Answer & Explanation Answer: D) 10/3

Explanation:
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Q:

Find the next number in the given number series?

96, 95, 87, 78, ?

A) 64 B) 57
C) 29 D) 14
 
Answer & Explanation Answer: D) 14

Explanation:

The given number series is 96, 95, 87, 78, ? 

It follows a pattern that,

9696 - 12 = 9595 - 23 = 95 - 8 = 8787 - 32 = 87 - 9 = 7878 - 43 = 78 - 64 = 14

 

Hence, the next number in the given number series is 14.

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