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Fractions and Decimals

Fractions and Decimals
The value of [0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02] / [0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04] is:

12.5
125
1.25
0.125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(0.1)³ + (0.02)³] / 2³ [(0.1)³ + (0.02)³]=1/8= 0.125

Fractions and Decimals
From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/4 m long. What fraction of the whole will be left ?

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of each piece = 3 1/4 = 13/4 m Maximum pieces that can be cut = 30/(13/4) = 9 ∴ Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m∴ Required fraction = 3/4/30 = 1/4 

Fractions and Decimals
What will be the value of (25.732)² - (15.732)²

416.64
418.64
414.64
420.64

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Can be easily solved with following formula= (25.732 - 15.732 ) x (25.732 + 15.732)=414.64

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

30
20
10
5

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

Fractions and Decimals
Arrange the fractions in ascending order: 3/4, 5/8, 7/12, 13/16

5/8 < 7/12 < 13/16 < 3/
5/8 < 3/4 < 13/16 < 7/12
7/12 < 5/8 < 3/4 < 13/16
5/8 < 7/12 < 3/4 < 13/16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5/8 = .625,7/12 = .5833, 3/4 = .75,13/16 = .8125So order will be 7/12 < 5/8 < 3/4 < 13/16

Fractions and Decimals
? % of 10.8 =32.4

300
500
100
600

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let k % of 10.8=32.4 ⇒ (k x 10.8) / 100 = 32.4⇒ k = (32.4 x 100 )/10.8 = 300

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