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Fractions and Decimals

Fractions and Decimals
50.8 / 2540 = ?

0.02
0.0002
0.002
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

50.8 / 2540 = 508 / 25400 = 2 / 100 = .02

Fractions and Decimals
The rational number for recurring decimal 0.125125.... is:

125/1000
125/99
125/100
125/999

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

                           _0.125125... = 0.125 =125/999

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

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

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
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 ?

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

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
If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is :

73/77
65/67
61/63
71/74

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x / y  = 0.04 / 1.5 = 4 / 150 = 2 / 75.= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77.

Fractions and Decimals
(4.5 x 3.7 + 4.5 x 6.3)/(1.5 x 8.4 - 1.5 x 7.4) = ?

30
5
20
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(4.5 x 3.7 + 4.5 x 6.3)/(1.5 x 8.4 - 1.5 x 7.4)  = 4.5 x (3.7 + 6.3)/1.5 x (8.4 - 7.4)     = 4.5 x 10/1.5 x 1 = 30

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