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Fractions and Decimals

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

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

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
(.538 x .538 - .462 x .462) / (1-.924) = ?

21
1
31
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [ (.538)² - (.462)² ] / .076 = [(.538 + .462)(.538 - .462)] /.076=.076 / .076 = 1

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

0.060851
6085.1
None of these
60.851

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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 ?

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

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
0.0169 / 0.013=?

None of these
13/10
130/10
1300/10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.0169 / 0.0130 = 169 / 130 = 13 / 10 

Fractions and Decimals
If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is :

65/67
71/74
61/63
73/77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x / y  = 0.04 / 1.5 = 4 / 150 = 2 / 75.= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77.

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