Fractions and Decimals (0.29)2 - (0.01)2/0.3 = ? 0.34 0.32 0.30 0.28 0.34 0.32 0.30 0.28 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a² - b² = (a + b)(a - b)Hence,(0.29)² - (0.01)²/0.3 = (0.29 + 0.01)(0.29 - 0.01)/0.3= (0.3 x 0.28)/0.3 = 0.28
Fractions and Decimals 999.99 + 25.012 = ? - 174.469 14 56 215 116 14 56 215 116 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (999.99)/25.012 + 174.469 = (1000/25) + 174.469= (40 + 174.469) = 214.469 = 215
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 : 4 None of these 0.4 0.04 4 None of these 0.4 0.04 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 If two-third of two-seventh of a number is 60, then two-fifteenth of that number is 34 42 56 71 34 42 56 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 If the numerator of a fraction is increased by 2 and denominator is increased by 3, the faction becomes 7/9 and if numerator as well as denominator are decreased by 1, the fraction becomes 4/5. What i 5/10 5/4 5/6 5/8 5/10 5/4 5/6 5/8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numerator and denominator be p and q respectively.Then, (p + 2) / (q + 3) = 7/9⇒ 9(p + 2) = 7(q +3)⇒ 9p - 7q = 3 ....(i)Again, (p - 1) / (q - 1) = 4/5⇒ 5p - 4q = 1 ....(ii)Solving (i) and (ii) we get,p = 5, q = 6Required fraction = 5/6
Fractions and Decimals (.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ? 0.4096 0.004096 4.096 0.04096 0.4096 0.004096 4.096 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
EXAMIANS