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Fractions and Decimals

Fractions and Decimals
8.32 x 0.999 = ?

8311.68
831.168
83.1168
8.31168

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = 8.32 x 0.999= 8.32 x (1-0.001) = 8.32 - 8.32 x 0.001=8.32 - .00832 = 8.31168

Fractions and Decimals
Which of the following fraction is the largest?

18/23
8/9
16/21
14/17

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Converting the given fractions into decimal form, we have,8/9 = 0.8818/23 = 0.7816/21 = 0.7614/17 = 0.82From the above, 0.88 is the largest.Corresponding fraction is 8/9.

Fractions and Decimals
25 / .0005 = ?

5000
50000
500
500000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

25 / .0005= 250000 / 5= 50000

Fractions and Decimals
The rational number for recurring decimal 0.125125.... is:

125/100
125/99
125/999
125/1000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

                           _0.125125... = 0.125 =125/999

Fractions and Decimals
Which of the following fraction is greater than 4/5 and less than 6/7?

10/11
5/6
3/4
2/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We have to find X such that 4/5 < X < 6/7Converting each fraction into decimal form, we get:4/5 = 0.86/7 = 0.85We have to find the fraction which is greater than 0.8 and less than 0.85.Now,2/3 = 0.663/4 = 0.755/6 = 0.8310/11 = 0.91Clearly, 0.83 lies between 0.8 and 0.85.Required fraction is 5/6

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 ?

100.5 kg
1000.5 kg
1.5 kg
10.5 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 

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