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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 1 / 3.718 = .2689, then the value of 1 / .0003718 is ?

268903
26890
2689
268

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1 / .003718 = 10000 / 3.718 = 10000 x ( 1/3.718)= 10000 x .2689 = 2689.

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

1.0
0.5
2.0
1.5

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

1.884
1.484
1.284
1.684

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

2/3
3/4
5/6
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
(.125 + .027) / (.5 x .5 - 1.5 + .09) = ?

80
0.8
8
800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]= [a³ + b³] / [a² - ab + b²]=[(a + b)(a² - ab + b²)]/ [a² -ab + b²]= a+b = 0.5 + 0.3 = 0.8

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