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Fractions and Decimals

Fractions and Decimals
3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}] = ?

1.5
0.5
2.0
1.0

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = 3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}] = 3 / [3- { 273 / (3 x 91)}] = 3 / (3-1)= 3 / 2 = 1.5

Fractions and Decimals
Which of the following fraction does not lie between 5/6 and 8/15?

3/4
6/7
4/5
2/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Converting each of the given fractions into decimal form, we get,5/6 = 0.838/15 = 0.532/3 = 0.663/4 = 0.754/5 = 0.86/7 = 0.85Clearly, 0.85 does not lie between 0.83 and 0.53Hence the required fraction is 6/7.

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

44
54
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
The expression (11.98 * 11.98 + 11.98 * (x) + 0.02 * 0.02) will be a perfect square for x equal to :

4
0.4
None of these
0.04

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given = (11.98)^2 + (0.02)^2 + 11.98 * x. For the given expression to be a perfect square, we must have11.98 * x = 2 * 11.98 * 0.02=> x = 0.04

Fractions and Decimals
By how much is 12% of 24.2 more than 10% of 14.2 ?

1.484
1.284
1.684
1.884

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required difference = (12 x 24.2) / 100 - (10 x 14.2) / 100= 2.904 -1.42 = 1.484

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) = ?

3
2
1
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

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