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Fractions and Decimals

Fractions and Decimals
9.99 x 9.9 x 9 ÷ 9.9 ÷ 0.3 = ?

1.11
3.33
2.22
4.44

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (9.99 x 9.9 x 9)/(9.9 x 0.9 x 0.3) = 3.33

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
1.5 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
If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction.

5 2/3
2 2/3
9 2/3
7 2/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

If the required fraction be P According to the question (P x P) / (1/P) = 18 26/27⇒ P³ = 512/27∴ P = 8/3 = 2 2/3

Fractions and Decimals
999.99 + 25.012 = ? - 174.469

215
56
14
116

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Fractions and Decimals
What should be subtracted from the multiplication of 0.527 and 2.013 to get 1 ?

60.851
None of these
6085.1
0.060851

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 0.527 x 2.013 = 1.060851Hence, the required number = 1.060851 - 1 = 0.060851.

Fractions and Decimals
(.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?

0.04096
0.004096
4.096
0.4096

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096

MORE MCQ ON Fractions and Decimals

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