Fractions and Decimals Which of the following fraction is the smallest ? 11/13 9/11 5/7 3/7 11/13 9/11 5/7 3/7 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 .
Fractions and Decimals If 1.5 x a = 0.04 x b then the value of (b - a) / ( b + a) is ? 730/77 73/770 73/77 None of these 730/77 73/770 73/77 None of these 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 50.8 / 2540 = ? 0.002 None of these 0.02 0.0002 0.002 None of these 0.02 0.0002 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 50.8 / 2540 = 508 / 25400 = 2 / 100 = .02
Fractions and Decimals If 144 / 0.144 = 14.4 / x, then the value of x is: 14.4 0.0144 0.144 1.44 14.4 0.0144 0.144 1.44 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 144 / 0.144 = 14.4 / x144 x 1000 / 144 = 14.4 / x x =14.4 / 1000 = 0.0144
Fractions and Decimals The expression (11.98 * 11.98 + 11.98 * (x) + 0.02 * 0.02) will be a perfect square for x equal to : None of these 0.04 4 0.4 None of these 0.04 4 0.4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given = (11.98)^2 + (0.02)^2 + 11.98 * x. For the given expression to be a perfect square, we must have11.98 * x = 2 * 11.98 * 0.02=> x = 0.04
Fractions and Decimals (.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ? 4.096 0.4096 0.004096 0.04096 4.096 0.4096 0.004096 0.04096 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096