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Fractions and Decimals

Fractions and Decimals
25 / .0005 = ?

500000
50000
5000
500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

25 / .0005= 250000 / 5= 50000

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
Which of the following fractions is greater than 3 /4 and less than 5 / 6 ?

5/6
1/2
4/5
3/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 /4 = 0.75, 5/6 = 0.833,1/2 = .5,2/3 = 0.66, 4/5 = 0.8,9/10 = 0.9.clearly 0.8 lies between 0.75 and .833.4/5 lies between 3/4 and 5/6.

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 ) = ?

11.1
1.1
11
111.1

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
0.001 / ? = 0.01

None of these
0.1
0.001
0.01

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 0.001 / x = 0.01 Then , x = 0.001 / 0.01 = 0.001 / 0.010= 1 / 10 = 0.1

Fractions and Decimals
999.99 + 25.012 = ? - 174.469

215
116
56
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (999.99)/25.012 + 174.469 = (1000/25) + 174.469= (40 + 174.469) = 214.469 = 215

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