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Fractions and Decimals

Fractions and Decimals
9.724 ÷ 100 = ?

None of these
0.9724
0.09724
9.724

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

9.724 ÷ 100 = 0.09724Shift decimal two palaces to the left. i.e 100

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
9 2/3
5 2/3
2 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
There are two fractions such that fraction X is thrice the fraction Y and their product is 25/12. Which of the following is equal to Y?

5/6
7/8
3/4
9/10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let X and Y are given fractions.Given that, fraction X is thrice the fraction Y;i.e., X = 3Y ...(1)And their product = X x Y = 25/12Sub. eqn (1) in above,(3Y)x(Y) = 25/123(Y²) = 25/12(Y²) = 25/36Y = 5/6Hence the required fraction is 5/6.

Fractions and Decimals
( 17.28 / ? ) / (3.6 x 0.2) = 200

0.13
0.10
0.11
0.12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let (17.28 / y) / (3.6 x 0.2) = 200Then,17.28 / y = 200 x 3.6 x 0.2∴ y = 17.28 / (200 x 3.6 x 0.2) = 1728 / 200 x 36 x 2 = 0.12.

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

2.0
0.5
1.5
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
(.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?

4.096
0.04096
0.4096
0.004096

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

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