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Fractions and Decimals

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.

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

8
0.8
800
80

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
Which of the following fractions is greater than 3 /4 and less than 5 / 6 ?

5/6
1/2
3/4
4/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 /4 = 0.75, 5/6 = 0.833,1/2 = .5,2/3 = 0.66, 4/5 = 0.8,9/10 = 0.9.clearly 0.8 lies between 0.75 and .833.4/5 lies between 3/4 and 5/6.

Fractions and Decimals
The product of 3.5413 x 2.1 is

None of these
7.43673
743.673
74.3673

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

For the product of 3.5413 x 2.1Consider 35413 x 21 = 743673Total decimal places = 4 + 1∴ 3.5413 x 2.1=7.43673

Fractions and Decimals
0.008 x 0.3 = ? a) 0.24 b) 0.0240 c) 0.204 d) 0.0024

0.0024
0.24
0.00024
0.024

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression is, 0.008 x 0.3The multiplication value without decimal point = 8 x 3 = 24Sum of the number of decimal places in the given numbers = 3 + 1 = 4Now, in the product, the decimal point is marked off to obtain as many places of decimal.Then the answer is 0.0024.

Fractions and Decimals
A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out this cloth ?

300
150
600
450

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of  each piece = (1/8) m = 0.125 mRequired no of pieces = (37.5/0.125) = (375 * 100) / 125 = 300.

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