Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of (cosec60 - 1/2) ?

 

A) (4-√3)/2√3   B) (2√3-1)/√3  
C) (3√3-1)/3   D) 1/√3
 
Answer & Explanation Answer: A) (4-√3)/2√3  

Explanation:
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Q:

Compute of 15872/32/4 = ?

 

A) 142 B) 1984
C) 124 D) 1948
 
Answer & Explanation Answer: C) 124

Explanation:
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Q:

∆UVW is right angled at V. If cosU = 8/17, then what is the value of sinW ?

 

A) 15/17 B) 17/8
C) 8/17 D) 17/15
 
Answer & Explanation Answer: C) 8/17

Explanation:
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Q:

Find the value of  21623 + 36-1   2

 

A) 216/6 B) 218/6
C) 215/6 D) 217/6
 
Answer & Explanation Answer: D) 217/6

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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:

The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

A) 20% B) 30%
C) 40% D) 50%
 
Answer & Explanation Answer: D) 50%

Explanation:

Let original length = x and original breadth = y.

Original area = xy. 

New length = x/2 and New breadth=3y 

New area = 32xy 

Therefore,  Increase in area = New area-original area = 32xy-xy=12xy 

 

Therefore,  Increase % = increase in area original area*100=12xyxy*100=50 %

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Q:

Find the missing number in the given number series?

2676, 445, ?, 21,6, 2, 1

A) 88 B) 92
C) 96 D) 102
 
Answer & Explanation Answer: A) 88

Explanation:

The given number series 2676, 445, ?, 21,6, 2, 1 follows a pattern that,

From right side,

1

1 x 1 + 1 = 2

2 x 2 + 2 = 6

6 x 3 + 3 = 21

21 x 4 + 4 = 88

88 x 5 + 5 = 445

445 x 6 + 6 = 2676

 

Hence the missing number in the given number series is 88.

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Q:

A can contains a mixture of two liquids A and B in the ratio  7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

A) 10 B) 20
C) 21 D) 25
 
Answer & Explanation Answer: C) 21

Explanation:

Suppose the can initially contains 7x and 5x litres of mixtures A and B respectively

 

Quantity of A in mixture left =7x-712×9=7x-214 litres.

 

Quantity of B in mixture left =  5x-512×9=5x-154litres.

 

7x-2145x-154+9=79

 

28x-2120x+21=79

 

x=3

 So, the can contained 21 litres of A.

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