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) = ? .0625 6.25 62.5 .625 .0625 6.25 62.5 .625 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 Which of the following fractions is greater than 3/4 and less than 5/6? 2/3 4/5 1/2 9/10 2/3 4/5 1/2 9/10 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 5 x 0.25 x 6.301 x 0.00394=? 0.310324250 0.0310324250 3.10324250 31.0324250 0.310324250 0.0310324250 3.10324250 31.0324250 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Here 5 x 25 x 6301 x 394=310324250Total decimal places = (2+3+5) = 10 ∴ 5 x 0.25 x 6.301 x 0.00394 = 0.0310324250
Fractions and Decimals Which of the following fraction is arranged in ascending order of their value? 1/4, 2/7, 3/4, 4/7, 5/7, 6/5 2/7, 1/4, 4/7, 3/4, 5/7, 6/5 1/4, 2/7, 4/7, 5/7, 3/4, 6/5 2/7, 1/4, 4/7, 5/7, 3/4, 6/5 1/4, 2/7, 3/4, 4/7, 5/7, 6/5 2/7, 1/4, 4/7, 3/4, 5/7, 6/5 1/4, 2/7, 4/7, 5/7, 3/4, 6/5 2/7, 1/4, 4/7, 5/7, 3/4, 6/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Converting the given fractions into decimal numbers, we have1/4 = 0.252/7 = 0.283/4 = 0.754/7 = 0.575/7 = 0.716/5 = 1.2So, 0.25 < 0.28 < 0.57 < 0.71 < 0.75 < 1.2Corresponding fraction is 1/4 < 2/7 < 4/7 < 5/7 < 3/4 < 6/5
Fractions and Decimals 0.15 / (0.5 / 15) = ? 4.5 400.5 None of these 40.5 4.5 400.5 None of these 40.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let Y = 0.15 / (0.5 / 15) = (15/100) / [(5/100) / 15) = 4.5
Fractions and Decimals (6.5 x 4.7 + 6.5 x 5.3 ) / (1.3 x 7.9 - 1.3 x 6.9) = ? 65 55 50 60 65 55 50 60 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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