Fractions and Decimals [(0.05)² + (0.41)² +(0.073)²] / [(0.005)² + (0.041)² + (0.0073)²] = ? 100000 1000 100 10000 100000 1000 100 10000 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(0.05)² + (0.41)² +(0.073)²] / [(0.005)² + (0.041)² + (0.0073)²] Which is in form of [(a² + b² + c²)] /[ (a/10)² + (b/10)² + (c/10)²] = 100 x (a² + b² + c²) / (a²+b²+c²) = 100
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 1/2 1/5 1/3 1/4 1/2 1/5 1/3 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 0.9 x 0.008=? 0.072 0.72 0.00072 None of these 0.072 0.72 0.00072 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 9 x 8=72∴ 0.09 x 0.008 = 0.00072 (Five place of decimal )
Fractions and Decimals (.538 x .538 - .462 x .462) / (1-.924) = ? 31 1 11 21 31 1 11 21 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [ (.538)² - (.462)² ] / .076 = [(.538 + .462)(.538 - .462)] /.076=.076 / .076 = 1
Fractions and Decimals Arrange the fractions in ascending order: 3/4, 5/8, 7/12, 13/16 5/8 < 7/12 < 13/16 < 3/ 7/12 < 5/8 < 3/4 < 13/16 5/8 < 7/12 < 3/4 < 13/16 5/8 < 3/4 < 13/16 < 7/12 5/8 < 7/12 < 13/16 < 3/ 7/12 < 5/8 < 3/4 < 13/16 5/8 < 7/12 < 3/4 < 13/16 5/8 < 3/4 < 13/16 < 7/12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5/8 = .625,7/12 = .5833, 3/4 = .75,13/16 = .8125So order will be 7/12 < 5/8 < 3/4 < 13/16
Fractions and Decimals (.125 + .027) / (.5 x .5 - 1.5 + .09) = ? 800 8 80 0.8 800 8 80 0.8 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