Quantitative Aptitude - Arithmetic Ability Questions

Q:

The volume of a hemisphere is 89.83 cm³. Find its diameter (in cm).

 

A) 3.5 B) 7
C) 14 D) 10.5
 
Answer & Explanation Answer: B) 7

Explanation:
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Filed Under: Volume and Surface Area
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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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Filed Under: Simplification
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Q:

If S is the midpoint of a straight line PQ and R is a point different from S, such that PR =RQ, then

 

A) ∠PRS = 90° B) ∠QRS = 90°
C) ∠PSR = 90° D) ∠QSR = 90°
 
Answer & Explanation Answer: C) ∠PSR = 90°

Explanation:
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Filed Under: Area
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Q:

Find the next number in the given series ?


3, 7, 6, 5, 9, 3, 12, 1, 15, . . .

A) 2 B) 0
C) 1 D) -1
 
Answer & Explanation Answer: D) -1

Explanation:

3, 7, 6, 5, 9, 3, 12, 1, 15, ... has two different series

1) 3, 6, 9, 12, 15.....

2) 7, 5, 3, 1, .....

-1 is the next number.

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Filed Under: Odd Man Out
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Q:

Consider the following statements:

1) The number of circles that can be drawn through three non-collinear points is infinity.

2) Angle formed in minor segment of a circle is acute.

Which of the above statements is/are correct?

A) 1 only B) 2 only
C) Both 1 and 2 D) Neither 1 nor 2
 
Answer & Explanation Answer: D) Neither 1 nor 2

Explanation:
(1)
Only one circle can be drawn through 3 non collinear points 
Angle in the minor segment is always obtuse
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Filed Under: Volume and Surface Area
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Q:

If 3/5 of x is equal to 4/9 of y, then what is the ratio of x and y?

 

A) 11 : 15 B) 15 : 23
C) 20 : 27 D) 14 : 25
 
Answer & Explanation Answer: D) 14 : 25

Explanation:
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Filed Under: Ratios and Proportions
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Q:

A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at least 2 women are included ?

A) 196 B) 186
C) 190 D) 200
 
Answer & Explanation Answer: B) 186

Explanation:

When at least 2 women are included.

 

The committee may consist of 3 women, 2 men : It can be done in  4C3*6C2  ways

 

or, 4 women, 1 man : It can be done in  4C4*6C1ways

 

or, 2 women, 3 men : It can be done in 4C2*6C3 ways.

 

Total number of ways of forming the committees

 

4C2*6C3+4C3*6C2+4C4*6C1

 

= 6 x 20 + 4 x 15 + 1x 6

 

= 120 + 60 + 6 =186

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Q:

Find the next number in the given number series?

0, 3, 8, 15, 24, ?

A) 35 B) 37
C) 34 D) 36
 
Answer & Explanation Answer: A) 35

Explanation:

Here the given number series is 0, 3, 8, 15, 24, ?

The next number in the given series can be found such a way that the number series follows a pattern,

22 - 4 = 032 - 6 = 342  - 8 = 852 - 10 = 1562 - 12 = 2472 - 14 = 35Hence, the next number in the iven series is 35.

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Filed Under: Odd Man Out
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