Fractions and Decimals (0.29)2 - (0.01)2/0.3 = ? 0.28 0.32 0.30 0.34 0.28 0.32 0.30 0.34 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a² - b² = (a + b)(a - b)Hence,(0.29)² - (0.01)²/0.3 = (0.29 + 0.01)(0.29 - 0.01)/0.3= (0.3 x 0.28)/0.3 = 0.28
Fractions and Decimals Which of the following fractions is greater than 3/4 and less than 5/6? 2/3 9/10 1/2 4/5 2/3 9/10 1/2 4/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/4 = 0.75, 5/6= 0.833, 1/2= 0.5, 2/3= 0.66,4/5= 0.8, 9/10= 0.9. Clearly, 0.8 lies between 0.75 and 0.833.4/5 lies between 3/4 and 5/6.
Fractions and Decimals If x/y = 0.3, then (2x - y)/(2x + y) = ? 0.5 0.5 0.15 0.25 0.5 0.5 0.15 0.25 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 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 ? 1/3 1/2 1/5 1/4 1/3 1/2 1/5 1/4 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 \15.60 x 0.30=? 468 40.68 4.68 46.8 468 40.68 4.68 46.8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 1560 x 30 = 46800∴ 15.60 x 0.30 = 4.6800= 4.68 ( Four places of decimal )
Fractions and Decimals 0.001 / ? = 0.01 0.001 0.01 0.1 None of these 0.001 0.01 0.1 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let 0.001 / x = 0.01 Then , x = 0.001 / 0.01 = 0.001 / 0.010= 1 / 10 = 0.1
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