Fractions and Decimals \15.60 x 0.30=? 4.68 468 46.8 40.68 4.68 468 46.8 40.68 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 1560 x 30 = 46800∴ 15.60 x 0.30 = 4.6800= 4.68 ( Four places of decimal )
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 5/6 5/8 5/10 5/4 5/6 5/8 5/10 5/4 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 If two-third of two-seventh of a number is 60, then two-fifteenth of that number is 71 56 42 34 71 56 42 34 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 (0.16)² - (0.12)² = ? 0.0112 .112 11.2 1.12 0.0112 .112 11.2 1.12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = a² - b² = (a + b)(a - b)Hence, (0.16)² - (0.12)²= (0.16 + 0.12)(0.16 - 0.12)= 0.28 x 0.04 = 0.0112
Fractions and Decimals The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to: 0.0004 0.00004 0.004 0.04 0.0004 0.00004 0.004 0.04 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = (11.98)² + (0.02)² + 11.98 x x.For the given expression to be a perfect square, we must have11.98 x x = 2 x 11.98 x 0.02 or x = 0.04
Fractions and Decimals [ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] = ? 4 1 3 2 4 1 3 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression =(.6)³ + (.4) ³ + 3 x .6 x .4 x (.6 + .4)= a³ + b³ + 3ab (a+b) = (a+b)³= (.6 + .4)³ = 1³ = 1
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