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Fractions and Decimals

Fractions and Decimals
If √5 = 2.24, then the value of 3√5 / 2√5 - 0.48 is ?

168
None of these
16.8
1.68

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = 3√5 / 2√5 - 0.48= (3 x 2.24) / (2 x 2.24) - 0.48= 6.72 / 4.48 - 0.48 = 6.72 / 4 = 1.68

Fractions and Decimals
3.5 + 21 x 1.3 = ?

30.8
24.8
28.8
26.8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = 3.5 + 21 x 1.3 = 3.5 + 27.3 = Given Expression = 3.5 + 21 x 1.3 = 3.5 + 27.3 = 30.8

Fractions and Decimals
(.125 + .027) / (.5 x .5 - 1.5 + .09) = ?

80
0.8
8
800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]= [a³ + b³] / [a² - ab + b²]=[(a + b)(a² - ab + b²)]/ [a² -ab + b²]= a+b = 0.5 + 0.3 = 0.8

Fractions and Decimals
13.03 x 0.0001 = ?

0.0024
0.24
0.204
0.0240

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression is, 0.008 x 0.3The multiplication value without decimal point = 8 x 3 = 24Sum of the number of decimal places in the given numbers = 3 + 1 = 4Now, in the product, the decimal point is marked off to obtain as many places of decimal.Then the answer is 0.0024.

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
10.5 kg
1000.5 kg
1.5 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
The value of [(0.96)³- (0.1)³] / [(0.96)² + 0.096 + (0.1)²] is :

0.86
0.36
0.56
0.46

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(0.96)³ - (0.1)³] / [(0.96)² + (0.96 x 0.1) + (0.1)²]= [(a³ - b³) / (a² + ab + b²)] = (a - b)= (0.96 - 0.1)= 0.86

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