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Fractions and Decimals

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

100
25
75
50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Fractions and Decimals
What will be the vulgar fraction of 0.75 ?

2
1/4
3/4
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.75 = 75/100 = 3/4

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
10.5 kg
1.5 kg
100.5 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
[( 3.242 x 14 ) / 100] = ?

0.045388
0.45388
45.388
4.5388

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Multiplying 3.242 x 14=4.5388Now divide 4.5388 by 100So, 4.5388 ÷ 100= 0.045388∴ Shift the decimal two places to the left as 100

Fractions and Decimals
617 + 6.017 + 0.617 + 6.0017 = ?

629.6357
429.6357
329.6357
529.6357

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

617.00 6.017 0.617 + 6.0017 -------- 629.6357 ---------

Fractions and Decimals
( .009 / ?) = .01

0.9
0.009
0.09
9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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