Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which of the following statement(s) is/are TRUE?

I. √5 + √5 > √7 + √3
II. √6 + √7 > √8 + √5
III. √3 + √9 > √6 + √6

A) Only I B) Only I and II
C) Only II and III D) Only I and III
 
Answer & Explanation Answer: B) Only I and II

Explanation:
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Q:

If 19x2 = 1002 - 902, then find the value of x.

 

A) 10 B) 9
C) 11 D) 12
 
Answer & Explanation Answer: A) 10

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Q:

Find the unit place digit in the given expression.

 

153144 - 115123 - 111510 + 21625

 

A) 1 B) 5
C) 6 D) 3
 
Answer & Explanation Answer: A) 1

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Q:

A water tank is two-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?

A) 6 min.to empty B) 6 min.to fill
C) 9 min.to empty D) 9 min.to fill
 
Answer & Explanation Answer: A) 6 min.to empty

Explanation:

Clearly,pipe B is faster than pipe A and so,the tank will be emptied.

 

part to be emptied = 2/5

 

part emptied by (A+B) in 1 minute=16-110=115

 

115:25::1:x

 

25*15=6mins

 

so, the tank will be emptied in 6 min

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Q:

Find the odd man out?

61, 66, 83, 121, 185

A) 185 B) 121
C) 83 D) 66
 
Answer & Explanation Answer: B) 121

Explanation:

Given number series is 61, 66, 83, 121, 185

Here the given series follows a pattern that,

 

6161 + 22 + 1 = 6666 + 42 + 1 = 8383 + 62 + 1 = 120 (not 121)120 + 82 + 1 = 185

 

 

Hence, the odd man in the given series is 121.

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Q:

Pick the odd man out of the folowing number sequence?

123 112 133 112 143

A) 143 B) 122
C) 133 D) 112
 
Answer & Explanation Answer: B) 122

Explanation:

Here the given series is 123 112 133 112 143

It follows a pattern that,

123

123 - 11 = 112

112 + 21 = 133

133 - 31 = 102 (not 122)

102 + 41 = 143

 

Hence, the odd man in the given number sequence is 122 instead of 102.

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Q:

Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.

A) 612 B) 712
C) 812 D) 912
 
Answer & Explanation Answer: A) 612

Explanation:

Amount = Rs [7500*(1+(4/100)2] = Rs (7500 * (26/25) * (26/25) ) = Rs. 8112.
therefore, C.I. = Rs. (8112 - 7500) = Rs. 612.

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Q:

Simplify : (27)-23

 

A) 1/18 B) 9
C) 1/9 D) 18
 
Answer & Explanation Answer: C) 1/9

Explanation:
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