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Fractions and Decimals

Fractions and Decimals
( 0.5 x 0.5 x 0.5 x 0.6 x 0.6 x 0.6 ) / ( 0.5 x 0.5 - 0.3 + 0.6 x 0.6 ) = ?

11
111.1
11.1
1.1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.6)³ ] / [(0.5)² - 0.5 x 0.6 + (0.6)²]= (a³+b³) / ( a²-ab+b²)= a + b= 0.5 + 0.6= 1.1

Fractions and Decimals
(.23 - .023) / ( .0023 / 23 ) = ?

207
2770
2077
2070

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (.23 - .023) / ( .0023 / 23 ) = .207 / (.0023 / 23) = .207 / .0001=.2070 / .0001 = 2070

Fractions and Decimals
The value of 47 / 10000 is ?

0.0047
0.00047
0.47
0.047

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

47/10000 = .0047

Fractions and Decimals
A vessel, full of water, weighs 16.5 kg. When the vessel is (1/4)th full, it weight 5.25 kg. Then, weight of the empty vessel (in kg) is ?

10.5 kg
100.5 kg
1.5 kg
1000.5 kg

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the weight of vesel = x kg Then, 1/4 of volume of water = (5.25 - x)kg Full volume of water = (16.5 - x)∴ 4(5.25 - x) = (16.5 - x)⇒ 21 - 4x = 16.5 - x ⇒ 21 - 16.5 = 3x ∴ x = 4.5/3 = 1.5 kg 

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
Find the sum 3/10 + 5/100 + 8/1000 in decimal form ?

3.58
None of these
35.8
0.358

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/10 + 5/100 + 8/1000= 0.3 + 0.05 + 0.008 = 0.358

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