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Fractions and Decimals

Fractions and Decimals
9.724 ÷ 100 = ?

9.724
0.09724
0.9724
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Fractions and Decimals
What decimal fraction is 40 ml of a litre ?

.04
.0004
4
.004

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required fraction = 40/1000= 4/100 = .04

Fractions and Decimals
By how much is four-seventh of 560 greater than five-eighth of 400?

60
40
50
70

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We have to find, the value of 4/7 of 560 - 5/8 of 400.4/7 x 560 - 5/8 x 400 = (4 x 80) - (5 x 50) = 320 - 250 = 70Hence, four-seventh of 560 is greater than five-eighth of 400 by 70.

Fractions and Decimals
(.125 + .027) / (.5 x .5 - 1.5 + .09) = ?

8
80
0.8
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

Fractions and Decimals
0.9 x 0.008=?

None of these
0.00072
0.072
0.72

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 9 x 8=72∴ 0.09 x 0.008 = 0.00072 (Five place of decimal )

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
3/20
None of these
1/16

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

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