Fractions and Decimals [(0.87)³ + (0.13)³] / [(0.87)² - 0.87 x 0.13 + (0.13)²] = ? 3 2 1 4 3 2 1 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression = ( a³ + b³ )/ (a² + b² - ab) where = 0.87 and b = 0.13= [(a + b ) (a² + b² - ab)] / (a² + b² - ab) = a + b = 0.87 + 0.13= 1
Fractions and Decimals Out of the fractions 4/7, 5/13, 6/11, 3/5 and 2/3 which is the second smallest fraction ? 3/5 5/13 4/7 6/11 3/5 5/13 4/7 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 [(0.1667)(0.8333)(0.3333)] / [(0.2222)(0.6667)(0.1250)] is approximately equal to: 1.50 3.50 4.50 2.50 1.50 3.50 4.50 2.50 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression [(0.3333)/(0.2222)] x [((0.1667)(0.8333)) / ((0.6667)(0.1250))]=[(3333 / 2222)] x [((1/6) x (5/6)) / ((2/3) x (125/1000))]=[(3/2) x (1/6) x (5/6) x (3/2) x 8]=5 / 2=2.50
Fractions and Decimals If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ? .00025 .0025 25 .025 .00025 .0025 25 .025 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = √0.5 x .5 x a = .5 x .05 x √ b⇒ √.025 x a = 0.25 x ⇒ b⇒ 0.025a = 0.25 x .025 x b∴ a/b = (.025 x .025) /.025 = .025
Fractions and Decimals 0.9 x 0.008=? None of these 0.00072 0.72 0.072 None of these 0.00072 0.72 0.072 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 9 x 8=72∴ 0.09 x 0.008 = 0.00072 (Five place of decimal )
Fractions and Decimals Which of the following fraction is the smallest ? 3/7 9/11 5/7 11/13 3/7 9/11 5/7 11/13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 11/3 = 0.846,9/11 = 0.818,3/4 = 0.75 and 5/7 = 0.714Clearly, 0.714 is the smallest and hence 5/7 is smallest fraction .