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Fractions and Decimals

Fractions and Decimals
If 0.12 ÷ x² = 12, than x = ?

0.1
0.01
0.001
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.12 ÷ x² = 12 => 0.12/x² = 12=> x² = 0.12/12 = 0.01 => x = 0.1

Fractions and Decimals
If 1 / 3.718 = .2689, then the value of 1 / .0003718 is ?

2689
26890
268
268903

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Fractions and Decimals
If 1.5 x a = 0.04 x b then the value of (b - a) / ( b + a) is ?

730/77
None of these
73/77
73/770

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a / b = 0.04 / 1.5 = 4 / 150 = 2 / 75∴ Given Exp. (b - a) / ( b + a)= (1- a/b ) / (1 + a/b) = (1- 2 / 75) / (1 + 2 / 75)= ( 73/75 ) / ( 77/75)= 73/77

Fractions and Decimals
Which of the following fractions is greater than 3 /4 and less than 5 / 6 ?

1/2
5/6
4/5
3/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 /4 = 0.75, 5/6 = 0.833,1/2 = .5,2/3 = 0.66, 4/5 = 0.8,9/10 = 0.9.clearly 0.8 lies between 0.75 and .833.4/5 lies between 3/4 and 5/6.

Fractions and Decimals
If 3 is added to the denominator of a fraction, it becomes 1/3 and if 4 be added to its numerator, It becomes 3/4, then fraction is ?

1/16
3/20
None of these
5/12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the required fraction be p/q∵ p / (q + 3) = 1/3⇒ 3p - q = 3 ...(i)and, (p + 4) / q = 3/4 ⇒ 4p - 3q = -16 ...(ii)Solving these equations, we get p = 5, q = 12∴ Required fraction = 5/12

Fractions and Decimals
(.24 x .35 ) / (.14 x .15 x .02) is equal to ?

188
176
200
182

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(.24 x .35) / (.14 x .15 x .02)= (24 x 35 x 100 ) / (14 x 15 x 2)=200 

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