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 .0625 .625 6.25 62.5 .0625 .625 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 (44.99)² - (15.01)² = ? 1500 1100 1800 700 1500 1100 1800 700 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800
Fractions and Decimals Out of the fractions 4/7, 5/13, 6/11, 3/5 and 2/3 which is the second smallest fraction ? 4/7 5/13 3/5 6/11 4/7 5/13 3/5 6/11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4/7 = 0.57, 5/13 = 0.38, 6/11 = 0.54, 3/5 = 0.6 and 2/3 = 0.67Clearly, the second smallest fraction is 6/11
Fractions and Decimals If 1.5 x a = 0.04 x b then the value of (b - a) / ( b + a) is ? 73/77 None of these 73/770 730/77 73/77 None of these 73/770 730/77 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a / b = 0.04 / 1.5 = 4 / 150 = 2 / 75∴ Given Exp. (b - a) / ( b + a)= (1- a/b ) / (1 + a/b) = (1- 2 / 75) / (1 + 2 / 75)= ( 73/75 ) / ( 77/75)= 73/77
Fractions and Decimals 12.1212 + 17.0005 - 9.1102 = ? 20.0115 2.00115 2001.15 200.115 20.0115 2.00115 2001.15 200.115 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression,= (12.1212 + 17.0005) - 9.1102= (29.1217 - 9.1102)= 20.0115.
Fractions and Decimals 0.6 + 0.66 + 0.066 + 6.606 = ? 793.2 7932 7.932 79.32 793.2 7932 7.932 79.32 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.6 + 0.66 + 0.066 + 6.606= 0.600 + 0.660 + 0.066 + 6.660= 7.932