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Fractions and Decimals

Fractions and Decimals
6 x 0.6 x 0.06 x 0.006 x 60 = ?

0.7776
0.07776
77.76
7.776

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 6 x 6/10 x 6/100 x 6/1000 x 60 = 77760/1000000                  = 7776/100000 = 0.07776

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

.025
.0025
25
.00025

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
If 1.5 x a = 0.04 x b then the value of (b - a) / ( b + a) is ?

730/77
73/770
None of these
73/77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a / b = 0.04 / 1.5 = 4 / 150 = 2 / 75∴ Given Exp. (b - a) / ( b + a)= (1- a/b ) / (1 + a/b) = (1- 2 / 75) / (1 + 2 / 75)= ( 73/75 ) / ( 77/75)= 73/77

Fractions and Decimals
50.8 / 2540 = ?

None of these
0.0002
0.02
0.002

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

50.8 / 2540 = 508 / 25400 = 2 / 100 = .02

Fractions and Decimals
[{(0.1)² - (0.01)²} / {0.0001 + 1 }] is equal to ?

25
75
100
50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (0.01 - 0.0001) / (0.00001 + 1)= (.0099 / .0001) + 1 = 99 + 1= 100

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

0.46
0.36
0.56
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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