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Fractions and Decimals

Fractions and Decimals
0.15 / (0.5 / 15) = ?

None of these
4.5
400.5
40.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let Y = 0.15 / (0.5 / 15) = (15/100) / [(5/100) / 15) = 4.5

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

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

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
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 ?

1000.5 kg
100.5 kg
10.5 kg
1.5 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
By how much is four-seventh of 560 greater than five-eighth of 400?

70
40
60
50

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
[{(0.1)² - (0.01)²} / {0.0001 + 1 }] is equal to ?

75
25
50
100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (0.01 - 0.0001) / (0.00001 + 1)= (.0099 / .0001) + 1 = 99 + 1= 100

Fractions and Decimals
The expression (11.98 * 11.98 + 11.98 * (x) + 0.02 * 0.02) will be a perfect square for x equal to :

0.04
None of these
0.4
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given = (11.98)^2 + (0.02)^2 + 11.98 * x. For the given expression to be a perfect square, we must have11.98 * x = 2 * 11.98 * 0.02=> x = 0.04

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