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Fractions and Decimals

Fractions and Decimals
If two-third of two-seventh of a number is 60, then two-fifteenth of that number is

42
71
34
56

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
If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction.

7 2/3
2 2/3
5 2/3
9 2/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

If the required fraction be P According to the question (P x P) / (1/P) = 18 26/27⇒ P³ = 512/27∴ P = 8/3 = 2 2/3

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
[12 / (0.09 of 0.3)] x 2=?

800/9
8000/90
800/90
8000/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = ( 12/ 0.027) x 2= ( 12 / 0.027) x 2 = 24000/27 = 8000/9

Fractions and Decimals
3.5 + 21 x 1.3 = ?

28.8
30.8
26.8
24.8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = 3.5 + 21 x 1.3 = 3.5 + 27.3 = Given Expression = 3.5 + 21 x 1.3 = 3.5 + 27.3 = 30.8

Fractions and Decimals
From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/4 m long. What fraction of the whole will be left ?

1/2
1/3
1/4
1/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of each piece = 3 1/4 = 13/4 m Maximum pieces that can be cut = 30/(13/4) = 9 ∴ Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m∴ Required fraction = 3/4/30 = 1/4 

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