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Fractions and Decimals

Fractions and Decimals
What will be the vulgar fraction of 0.75 ?

3/4
2
1
1/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.75 = 75/100 = 3/4

Fractions and Decimals
There are two fractions such that fraction X is thrice the fraction Y and their product is 25/12. Which of the following is equal to Y?

9/10
3/4
7/8
5/6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let X and Y are given fractions.Given that, fraction X is thrice the fraction Y;i.e., X = 3Y ...(1)And their product = X x Y = 25/12Sub. eqn (1) in above,(3Y)x(Y) = 25/123(Y²) = 25/12(Y²) = 25/36Y = 5/6Hence the required fraction is 5/6.

Fractions and Decimals
(1.1 + 1.1 + 1.1 + 1.1) x 1.1 x 1.1 = ? = ? x 0.121

54
44
64
33

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (1.1 + 1.1 + 1.1 + 1.1) x 1.1 x 1.1/0.121    = (4.4 x 1.1 x 1.1)/0.121 = 44 

Fractions and Decimals
If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ?

.0025
.00025
25
.025

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = √0.5 x .5 x a = .5 x .05 x √ b⇒ √.025 x a = 0.25 x ⇒ b⇒ 0.025a = 0.25 x .025 x b∴ a/b = (.025 x .025) /.025 = .025

Fractions and Decimals
[( 3.242 x 14 ) / 100] = ?

45.388
4.5388
0.045388
0.45388

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Multiplying 3.242 x 14=4.5388Now divide 4.5388 by 100So, 4.5388 ÷ 100= 0.045388∴ Shift the decimal two places to the left as 100

Fractions and Decimals
(0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) = ?

0.14
1.4
14
0.014

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.47)³ - (0.33)³] / [(0.47)² + 0.47 x 0.33 + (0.33)²]= [a³ - b³ ] / [ a² + ab + b²] = [(a-b) (a² + ab + b²)] / [(a² + ab + b²)]= (a - b) = (0.47 - 0.33) = 0.14

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