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Fractions and Decimals

Fractions and Decimals
When 52416 divided by 312 , the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168 ?

31200
312000
312
3120

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given, 52416 / 312 = 168.<=>  52416 / 168 = 312.52.416 / 0.0168 = 524160 / 168 = 3120.

Fractions and Decimals
If 144 / 0.144 = 14.4 / x, then the value of x is:

0.0144
0.144
1.44
14.4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

144 / 0.144 = 14.4 / x144 x 1000 / 144 = 14.4 / x  x =14.4 / 1000 = 0.0144

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
9 2/3
5 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
Which of the following fraction is greater than 4/5 and less than 6/7?

5/6
3/4
2/3
10/11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We have to find X such that 4/5 < X < 6/7Converting each fraction into decimal form, we get:4/5 = 0.86/7 = 0.85We have to find the fraction which is greater than 0.8 and less than 0.85.Now,2/3 = 0.663/4 = 0.755/6 = 0.8310/11 = 0.91Clearly, 0.83 lies between 0.8 and 0.85.Required fraction is 5/6

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 ?

1/3
1/2
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 

Fractions and Decimals
16.001 x 11.999 x 99.989 x 0.9 = ?

17280
18764
20924
19347

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 16 x 12 x 100 x 0.9 ? = 17280

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