Quantitative Aptitude - Arithmetic Ability Questions

Q:

Simplify the fraction?

5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17) 

A) -4 (1/17) B) 5 (2/17)
C) -2 (1/17) D) 3 (3/17)
 
Answer & Explanation Answer: A) -4 (1/17)

Explanation:

Given fraction is 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17) 

It can be written as 

(5 - 3 - 2 - 1) + (2/7 - 1/14 - 1/14 - 1/7) = ? +  3 (1/17) 

-1 + 0 - 3 (1/17) = ?

=> ? = -4 (1/17)

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Filed Under: Simplification
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7 70164
Q:

A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square  tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?

A) 14 cms B) 21 cms
C) 42 cms D) None of these
 
Answer & Explanation Answer: B) 21 cms

Explanation:

3.78 meters =378 cm = 2 × 3 × 3 × 3 × 7

5.25 meters=525 cm = 5 × 5 × 3 × 7

Hence common factors are 3 and 7

Hence LCM = 3 × 7 = 21

Hence largest size of square tiles that can be paved exactly with square tiles is 21 cm.

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Filed Under: HCF and LCM

169 70003
Q:

Find the unit digit of the expression

312+322+332+342+352+362+372+382+392

A) 1 B) 4
C) 5 D) 9
 
Answer & Explanation Answer: C) 5

Explanation:
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Q:

If the circumference of a circle is 22 cm, then what must be its area (in cm²)?

 

A) 77 B) 38.5
C) 31.5 D) 63
 
Answer & Explanation Answer: B) 38.5

Explanation:
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Filed Under: Area
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Q:

If 0.75: x :: 5:8, then x is equal to:

A) 1.12 B) 1.16
C) 1.20 D) 1.30
 
Answer & Explanation Answer: C) 1.20

Explanation:

(x * 5) = (0.75 *8)

X=6/5 = 1.20

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Filed Under: Ratios and Proportions

262 69188
Q:

Find the Odd One Out?

4, 6, 12, 30, 81, 315.

A) 6 B) 12
C) 81 D) 315
 
Answer & Explanation Answer: C) 81

Explanation:

Given the number series is 4, 6, 12, 30, 81, 315.

Here it follows a pattern that

4

4 x 1.5 = 6

6 x 2 = 12

12 x 2.5 = 30

30 x 3 = 90 not equals to 81

90 x 3.5 = 315

 

Hence the odd one in the series is 81.

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9 69155
Q:

The length of a diagonal in cms of a rectangle of length 5 cm and width 3 cm is

 

A) √34 B) +-√34
C) 4 D) +-4
 
Answer & Explanation Answer: A) √34

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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Filed Under: Ratios and Proportions
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