Fractions and Decimals If 144 / 0.144 = 14.4 / x, then the value of x is: 14.4 0.144 1.44 0.0144 14.4 0.144 1.44 0.0144 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 144 / 0.144 = 14.4 / x144 x 1000 / 144 = 14.4 / x x =14.4 / 1000 = 0.0144
Fractions and Decimals (.125 + .027) / (.5 x .5 - 1.5 + .09) = ? 8 0.8 80 800 8 0.8 80 800 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 From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/4 m long. What fraction of the whole will be left ? 1/4 1/3 1/5 1/2 1/4 1/3 1/5 1/2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of each piece = 3 1/4 = 13/4 m Maximum pieces that can be cut = 30/(13/4) = 9 ∴ Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m∴ Required fraction = 3/4/30 = 1/4
Fractions and Decimals If x/y = 0.3, then (2x - y)/(2x + y) = ? 0.25 0.5 0.5 0.15 0.25 0.5 0.5 0.15 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 If √4096 =64 ,then the value of √40.96 + √0.4096 + √0.004096 + √0.00004096 is ? 711.04 .71104 71.104 7.1104 711.04 .71104 71.104 7.1104 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √4096/100+ √4096/10000 + √4096/1000000 + √4096/100000000=√4096 / 10 + √4096/ 100 + √4096/ 1000 + √4096/ 10000=64/10 + 64/100 + 64/1000 + 64/10000=6.4 + .64 + .064 + .0064 = 7.1104
Fractions and Decimals (6.5 x 4.7 + 6.5 x 5.3 ) / (1.3 x 7.9 - 1.3 x 6.9) = ? 50 60 55 65 50 60 55 65 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression = (6.5 x 4.7 + 6.5 x 5.3 ) / (1.3 x 7.9 - 1.3 x 6.9) = [6.5 x (4.7 + 5.3 )] / [13 x (7.9 - 6.9)]= (6.5 x 10) / (1.3 x 1) = 50
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