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Fractions and Decimals

Fractions and Decimals
Correct expression of 6.46 is

646/9999
646/99
646/9
646/999

ANSWER DOWNLOAD EXAMIANS APP

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
1.5 kg
10.5 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
( 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 ) = ?

111.1
11.1
1.1
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
[{(0.1)² - (0.01)²} / {0.0001 + 1 }] is equal to ?

25
50
100
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (0.01 - 0.0001) / (0.00001 + 1)= (.0099 / .0001) + 1 = 99 + 1= 100

Fractions and Decimals
3889 + 12.952 - ? = 3854.002

479.5
4.795
47.95
4795

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 3889 + 12.952 - x = 3854.002.Then x = (3889 + 12.952) - 3854.002  = 3901.952 - 3854.002  = 47.95.

Fractions and Decimals
If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?

17.2
172
None of these
1.72

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

29.94 / 1.45 = 299.4 / 14.5 = [(2994 /14.5) x (1 / 10)] [ Here, Substitute 172 in the place of 2994/14.5 ]=172 / 10= 17.2

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