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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 ) = ?

11.1
1.1
111.1
11

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
(0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) = ?

0.014
1.4
0.14
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.47)³ - (0.33)³] / [(0.47)² + 0.47 x 0.33 + (0.33)²]= [a³ - b³ ] / [ a² + ab + b²] = [(a-b) (a² + ab + b²)] / [(a² + ab + b²)]= (a - b) = (0.47 - 0.33) = 0.14

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 ?

1.5 kg
100.5 kg
1000.5 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 

Fractions and Decimals
4.036 divided by 0.04 gives

10000.9
10.9
1000.9
100.9

ANSWER DOWNLOAD EXAMIANS APP

Fractions and Decimals
[(0.1667)(0.8333)(0.3333)] / [(0.2222)(0.6667)(0.1250)] is approximately equal to:

4.50
1.50
3.50
2.50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression [(0.3333)/(0.2222)] x [((0.1667)(0.8333)) / ((0.6667)(0.1250))]=[(3333 / 2222)] x [((1/6) x (5/6)) / ((2/3) x (125/1000))]=[(3/2) x (1/6) x (5/6) x (3/2) x 8]=5 / 2=2.50

Fractions and Decimals
16.001 x 11.999 x 99.989 x 0.9 = ?

17280
19347
20924
18764

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 16 x 12 x 100 x 0.9 ? = 17280

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