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Fractions and Decimals

Fractions and Decimals
Find the sum 3/10 + 5/100 + 8/1000 in decimal form ?

0.358
35.8
None of these
3.58

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/10 + 5/100 + 8/1000= 0.3 + 0.05 + 0.008 = 0.358

Fractions and Decimals
If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?

17.2
172
None of these
1.72

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

29.94 / 1.45 = 299.4 / 14.5 = [(2994 /14.5) x (1 / 10)] [ Here, Substitute 172 in the place of 2994/14.5 ]=172 / 10= 17.2

Fractions and Decimals
Find the value of 2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]

1400
800
1600
1200

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]= 2 x [(36 x 48 x 250) / (12 x 9 x 5)]= 2 x 4 x 4 x 50 = 1600

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 ?

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

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
(.125 + .027) / (.5 x .5 - 1.5 + .09) = ?

8
800
80
0.8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]= [a³ + b³] / [a² - ab + b²]=[(a + b)(a² - ab + b²)]/ [a² -ab + b²]= a+b = 0.5 + 0.3 = 0.8

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

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

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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