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Fractions and Decimals

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

.025
25
.0025
.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
0.9 x 0.008=?

0.72
0.00072
None of these
0.072

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 9 x 8=72∴ 0.09 x 0.008 = 0.00072 (Five place of decimal )

Fractions and Decimals
(4.5 x 3.7 + 4.5 x 6.3)/(1.5 x 8.4 - 1.5 x 7.4) = ?

30
20
10
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(4.5 x 3.7 + 4.5 x 6.3)/(1.5 x 8.4 - 1.5 x 7.4)  = 4.5 x (3.7 + 6.3)/1.5 x (8.4 - 7.4)     = 4.5 x 10/1.5 x 1 = 30

Fractions and Decimals
(10.3 * 10.3 * 10.3 + 1)/(10.3 * 10.3 - 10.3 + 1) is :

111.3
1.3
11.3
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a^3 + b^3 = (a+ b) * (a^2 + b^2 - ab)..( (10.3)^3 + (1)^3 ) / ((10.3)^2  + (1)^2 - (1 * 10.3))=> a + b = 10.3 + 1 = 11.3

Fractions and Decimals
(1.04 x 1.04 + 1.04 x 0.04 + 0.04 x 0.04) / (1.04 x 1.04 x 1.04 - 0.04 x 0.04 x 0.04) = ?

1
3
2
0

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (1.04)² + 1.04 x 0.04 + (0.04)² / (1.04)³ - (0.04)³= (a² + ab + b²) / (a³ - b³) = (a² + ab + b²) / [(a-b) (a² + ab + b²)]= 1 / (a - b)= 1/ (1.04 - 0.04) = 1

Fractions and Decimals
892.7 - 573.07 - 95.007 = ?

224.623
226.623
228.623
230.623

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression, 892.7 - (573.07 + 95.007)= 892.7 - 668.077 = 224.623.

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