Fractions and Decimals (0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) = ? 0.14 1.4 14 0.014 0.14 1.4 14 0.014 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(0.47)³ - (0.33)³] / [(0.47)² + 0.47 x 0.33 + (0.33)²]= [a³ - b³ ] / [ a² + ab + b²] = [(a-b) (a² + ab + b²)] / [(a² + ab + b²)]= (a - b) = (0.47 - 0.33) = 0.14
Fractions and Decimals By how much is four-seventh of 560 greater than five-eighth of 400? 40 50 70 60 40 50 70 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We have to find, the value of 4/7 of 560 - 5/8 of 400.4/7 x 560 - 5/8 x 400 = (4 x 80) - (5 x 50) = 320 - 250 = 70Hence, four-seventh of 560 is greater than five-eighth of 400 by 70.
Fractions and Decimals 0.9 x 0.008=? 0.00072 None of these 0.72 0.072 0.00072 None of these 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 If 0.12 ÷ x² = 12, than x = ? 0.001 0.1 10 0.01 0.001 0.1 10 0.01 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.12 ÷ x² = 12 => 0.12/x² = 12=> x² = 0.12/12 = 0.01 => x = 0.1
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 5/8 5/4 5/10 5/6 5/8 5/4 5/10 5/6 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 9.724 ÷ 100 = ? 0.9724 9.724 0.09724 None of these 0.9724 9.724 0.09724 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9.724 ÷ 100 = 0.09724Shift decimal two palaces to the left. i.e 100
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