Fractions and Decimals (.538 x .538 - .462 x .462) / (1-.924) = ? 31 1 11 21 31 1 11 21 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [ (.538)² - (.462)² ] / .076 = [(.538 + .462)(.538 - .462)] /.076=.076 / .076 = 1
Fractions and Decimals Out of the fractions 5/7, 7/13, 4/7, 4/15 and 9/14, which is the third highest? 4/15 5/7 7/13 4/7 4/15 5/7 7/13 4/7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5/7 = 0.71, 7/13 = 0.54, 4/7 = 0.57, 4/15 = 0.27, 9/14 = 0.64Clearly, 4/7 is the third highest fraction.
Fractions and Decimals [(0.87)³ + (0.13)³] / [(0.87)² - 0.87 x 0.13 + (0.13)²] = ? 1 3 2 4 1 3 2 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 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 5/8 5/6 5/4 5/10 5/8 5/6 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 13.065 x 13.065 - 3.065 x 3.065 =? 1.613 161.3 1613 16.13 1.613 161.3 1613 16.13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression =(13.065)²-(3.065)² =(13.065 + 3.065) x (13.065 - 3.065)=16.13 x 10 = 161.3
Fractions and Decimals (.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ? 4.096 0.04096 0.004096 0.4096 4.096 0.04096 0.004096 0.4096 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
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