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Fractions and Decimals

Fractions and Decimals
When 0.36 is written in simplest form, the sum of the numerator and the denominator is :

34
23
45
12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.36 = 36/100 = 9/25.Sum of the numerator and denominator is 9 + 25 = 34

Fractions and Decimals
The value of [0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02] / [0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04] is:

1.25
12.5
125
0.125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(0.1)³ + (0.02)³] / 2³ [(0.1)³ + (0.02)³]=1/8= 0.125

Fractions and Decimals
0.15 / (0.5 / 15) = ?

4.5
40.5
400.5
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let Y = 0.15 / (0.5 / 15) = (15/100) / [(5/100) / 15) = 4.5

Fractions and Decimals
From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/4 m long. What fraction of the whole will be left ?

1/3
1/5
1/4
1/2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of each piece = 3 1/4 = 13/4 m Maximum pieces that can be cut = 30/(13/4) = 9 ∴ Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m∴ Required fraction = 3/4/30 = 1/4 

Fractions and Decimals
Which of the following fraction is the smallest ?

9/11
3/7
11/13
5/7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

11/3 = 0.846,9/11 = 0.818,3/4 = 0.75 and 5/7 = 0.714Clearly, 0.714 is the smallest and hence 5/7 is smallest fraction .

Fractions and Decimals
What should be subtracted from the multiplication of 0.527 and 2.013 to get 1 ?

6085.1
60.851
0.060851
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 0.527 x 2.013 = 1.060851Hence, the required number = 1.060851 - 1 = 0.060851.

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