Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find the odd word/letters/number pair from the given alternatives.

(A) 4-16 (B) 8-24 (C) 14-26 (D) 16-36

A) A B) B
C) C D) D
 
Answer & Explanation Answer: C) C

Explanation:
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Q:

The compounded ratio of (2 : 3), (6: 11) and (11 :2) is

A) 1:2 B) 2:1
C) 11:24 D) 36:121
 
Answer & Explanation Answer: B) 2:1

Explanation:

Compounded Ratio :: When we compound two or more ratio's with each other through product or multiplication, the result is simply a compound ratio.

Thus, the product of two or more ratios; i.e, ab:cd is a ratio compounded of the simple ratios a:c and b:d.

 

Required compounded ratio = (2/3 x 6/11 x 11/2) = 2/1. 

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Q:

Find the missing number in the given number series?

514, 470, ?, 415, 404

A) 441 B) 437
C) 426 D) 420
 
Answer & Explanation Answer: B) 437

Explanation:

Given number series is 514   470   ?   415   404

 

 

 

Here the pattern it follows is

 

514

 

514 - 44 = 470

 

470 - 33 = 437

 

437 - 22 = 415

 

415 - 11 = 404

 

Hence, the missing number in the given number series is 437.

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Q:

If one needs to score 34% to pass a test, the pass marks out of 40 would be:

 

A) 13.2 B) 14.2
C) 13.6 D) 14.6
 
Answer & Explanation Answer: C) 13.6

Explanation:
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Filed Under: Percentage
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Q:

In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is :

A) 19 B) 29
C) 39 D) 49
 
Answer & Explanation Answer: C) 39

Explanation:

Let B's present age = x years. Then, A's present age = (x + 9) years.
(x + 9) + 10 = 2(x - 10)

 => x + 19 = 2x - 20

 => x =39.

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Q:

Find the sum of the Arithmetic Series upto 36 terms

2, 5, 8, 11,...

A) 3924 B) 1962
C) 1684 D) 1452
 
Answer & Explanation Answer: B) 1962

Explanation:

Arithmetic Series ::

 

An Arithmetic Series is a series of numbers in which each term increases by a constant amount.

 

How to find the sum of the Arithmetic Sequence or Series for the given Series ::

 

When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.

 

That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term

 

Here Last term is given by an = a1 + n-1d where d = common difference

 

Now given Arithmetic Series is 

 

2, 5, 8, 11,...

 

Here a1 = 2,  d = 3, n = 36 

 

Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107 

 

Now, Sum to 36 terms is given by

 

S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962

 

 

 

Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

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Q:

 The percentage increase in the area of a rectangle, if each of its sides is increased by 20%

A) 22% B) 33%
C) 44% D) 55%
 
Answer & Explanation Answer: C) 44%

Explanation:

Let original length = x metres and original breadth = y metres.

Original area = xy sq.m 

Increased length  = 120100 and Increased breadth = 120100 

 

New area = 120100x*120100y=3625xy m2 

 

The difference between the Original area  and New area  is:  

3625xy-xy

 

1125xy Increase % =1125xyxy*100= 44%

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Q:

A person crosses a 600 m long street in 5 minutes, What is his speed in km per hour?

A) 3.6 B) 7.2
C) 8.4 D) 10
 
Answer & Explanation Answer: B) 7.2

Explanation:

Speed =   6005×60 m/sec= 2 m/sec = 2 x (18/5) km/hr = 7.2 km/hr

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Filed Under: Time and Distance

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