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Fractions and Decimals

Fractions and Decimals
3 x 0.3 x 0.03 x 0.003 x 30=?

0.2430
0.02430
0.002430
2.430

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 x 3 x 3 x 3 x 30 = 2430 ∴ 3 x 0.3 x 0.03 x 0.003 x 30 = 0.002430 (Six places of decimal

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

73/77
61/63
65/67
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
By how much does 7/(8/9) exceeds (7/8)/9 ?

7 7/9
8 7/9
5 7/9
6 7/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here, we have to find the value of 7/(8/9) - (7/8)/9.(7 x 9/8) - [(7/(8 x 9)]63/8 - 7/72[(63 x 9) - 7] / 72567 - 7/72 = 560/72 = 70/9 = 7 7/9.Hence, 7/(8/9) is greater than (7/8)/9 by 7 7/9.

Fractions and Decimals
0.002 * 0.5 = ?

1
0.1
0.001
0.01

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2 * 5 = 10.Sum of decimal places =  4..002  * .5 = 0.0010 = 0.001 

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 ?

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

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
( .009 / ?) = .01

9
0.9
0.009
0.09

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let .009 / x = .01;   Then x = .009 / .01=.9 / 1= .9

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