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Fractions and Decimals

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

0.8
80
800
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
( 20 + 8 x 0.5 ) / ( 20 - ? ) = 12

14
16
20
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let (20 + 8 x 0.5) / ( 20 - y) =12Then, 24 =12 x (20 - y)∴ 12y = 216⇒ y = 18

Fractions and Decimals
9.75 x 9.75 - 2 x 9.75 x 5.75 + 5.75 x 5.75 = ?

18
17
16
15

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = a² -2ab + b² Where a =9.75 and b=5.75= (a-b)² = (9.75 - 5.75)² = 4²=16

Fractions and Decimals
0.8 x ? =0.0004

0.005
0.0005
0.05
0.00005

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 0.8y = 0.0004Then,y = 0.0004 / 0.8 = 0.004 / 8= .0005

Fractions and Decimals
If two-third of two-seventh of a number is 60, then two-fifteenth of that number is

42
56
71
34

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be X.Then 2/3 x 2/7 x X =60X = 60 x 7 x 3 / 4 = 315Then, 2/15 of 315 = 2/15 x 315 = 42.Hence the required number is 42

Fractions and Decimals
The value of [(0.96)³- (0.1)³] / [(0.96)² + 0.096 + (0.1)²] is :

0.46
0.56
0.36
0.86

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(0.96)³ - (0.1)³] / [(0.96)² + (0.96 x 0.1) + (0.1)²]= [(a³ - b³) / (a² + ab + b²)] = (a - b)= (0.96 - 0.1)= 0.86

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