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Fractions and Decimals

Fractions and Decimals
9.75 x 9.75 - 2 x 9.75 x 5.75 + 5.75 x 5.75 = ?

17
18
15
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = a² -2ab + b² Where a =9.75 and b=5.75= (a-b)² = (9.75 - 5.75)² = 4²=16

Fractions and Decimals
6 x 0.6 x 0.06 x 0.006 x 60 = ?

0.07776
0.7776
7.776
77.76

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 6 x 6/10 x 6/100 x 6/1000 x 60 = 77760/1000000                  = 7776/100000 = 0.07776

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
10.5 kg
100.5 kg
1000.5 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
By how much is 12% of 24.2 more than 10% of 14.2 ?

1.484
1.684
1.884
1.284

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required difference = (12 x 24.2) / 100 - (10 x 14.2) / 100= 2.904 -1.42 = 1.484

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

2
3/4
1
1/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.75 = 75/100 = 3/4

Fractions and Decimals
The greatest fraction out of 2/5, 5/6, 11/12 and 7/8 is ?

2/5
7/8
5/6
11/12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2/5 = 0.4 , 5/6 = 0.833, 11/12 = 0.916 and 7/8 = 0.875Clearly, the greatest fraction is 0.916, i, e . 11/12.

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