Fractions and Decimals (.356 x .365 - 2 x .365 x .106 + .106 x .106) / (.632 x .632 + 2 x .632 x .368 +.368 x .368) = ? 62.5 .625 .0625 6.25 62.5 .625 .0625 6.25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(.356)² -2 x .356 x .106 + (.106)²] / [(.632)²+2 x .632 x .368 +(.368)²]= (a² -2ab + b²) / (c²+2cd+d²)= (a - b)² / (c + d)²= (.356 -.106)² / (.632 + .368)²= (.25)² = .0625
Fractions and Decimals (0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) = ? 0.014 1.4 0.14 14 0.014 1.4 0.14 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(0.47)³ - (0.33)³] / [(0.47)² + 0.47 x 0.33 + (0.33)²]= [a³ - b³ ] / [ a² + ab + b²] = [(a-b) (a² + ab + b²)] / [(a² + ab + b²)]= (a - b) = (0.47 - 0.33) = 0.14
Fractions and Decimals Find the sum 3/10 + 5/100 + 8/1000 in decimal form ? 3.58 None of these 0.358 35.8 3.58 None of these 0.358 35.8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/10 + 5/100 + 8/1000= 0.3 + 0.05 + 0.008 = 0.358
Fractions and Decimals If two-third of two-seventh of a number is 60, then two-fifteenth of that number is 56 42 34 71 56 42 34 71 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be X.Then 2/3 x 2/7 x X =60X = 60 x 7 x 3 / 4 = 315Then, 2/15 of 315 = 2/15 x 315 = 42.Hence the required number is 42
Fractions and Decimals When .36 is written in simplest fractional form, the sum of the numerator and the denominator is : 29 37 34 23 29 37 34 23 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.36 = 36 / 100 = 9 / 25. Sum of Numerator and Denominator = 9 + 25 = 34.
Fractions and Decimals ? % of 10.8 =32.4 100 300 600 500 100 300 600 500 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let k % of 10.8=32.4 ⇒ (k x 10.8) / 100 = 32.4⇒ k = (32.4 x 100 )/10.8 = 300