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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 ?

1.68
168
16.8
None of these

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
(10.3 * 10.3 * 10.3 + 1)/(10.3 * 10.3 - 10.3 + 1) is :

None of these
111.3
11.3
1.3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a^3 + b^3 = (a+ b) * (a^2 + b^2 - ab)..( (10.3)^3 + (1)^3 ) / ((10.3)^2  + (1)^2 - (1 * 10.3))=> a + b = 10.3 + 1 = 11.3

Fractions and Decimals
0.002 * 0.5 = ?

0.1
1
0.001
0.01

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2 * 5 = 10.Sum of decimal places =  4..002  * .5 = 0.0010 = 0.001 

Fractions and Decimals
(44.99)² - (15.01)² = ?

1800
1100
1500
700

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800

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
( 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
11.1
1.1

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

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