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Fractions and Decimals

Fractions and Decimals
If x/y = 0.3, then (2x - y)/(2x + y) = ?

0.5
0.25
0.15
0.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x = 0.3y Then, (y - 2x)/(y + 2x)= y - 2(0.3y)/y + 2(0.3y)= y - 0.6y/y + 0.6y= 0.4y/1.6y= 0.4/1.6 = 0.25

Fractions and Decimals
[ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] = ?

1
3
4
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression =(.6)³ + (.4) ³ + 3 x .6 x .4 x (.6 + .4)= a³ + b³ + 3ab (a+b) = (a+b)³= (.6 + .4)³ = 1³ = 1

Fractions and Decimals
(3.65 x 3.65 + 2.35 x 2.35 - 2 x 2.35 x 3.65) / 1.69 = ?

4
1
2
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(3.65)² + (2.35)² -2 x 3.65 x 2.35 ] / 1.69=a² + b² - 2ab / 1.69, Where a = 3.65 and b = 2.35=(a - b)² / 1.69 = (3.65 - 2.35)² / 1.69 = (1.3)² / 1.69 = 1.69 / 1.69 = 1

Fractions and Decimals
The place value of 3 in 0.07359 is ?

0.3
0.03
0.0003
0.003

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The place value of 3 in the given decimal fraction is .003 i.e. 3/1000.

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.

7 2/3
2 2/3
5 2/3
9 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
3.5 + 21 x 1.3 = ?

26.8
28.8
24.8
30.8

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

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