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Fractions and Decimals

Fractions and Decimals
If 2805 / 2.55 = 1100, then 280.5 / 25.5 is equal to ?

11
31
41
21

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression 280.5 / 25.5 = 2805 / 255= 2805 / (2.55 x 100) = 1100 / 100 =11

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

33
54
64
44

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 two-third of two-seventh of a number is 60, then two-fifteenth of that number is

34
56
42
71

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
(.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?

0.004096
0.04096
4.096
0.4096

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096

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

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

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
(1.04 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
1
0
2

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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