Fractions and Decimals (1.04 x 1.04 + 1.04 x 0.04 + 0.04 x 0.04) / (1.04 x 1.04 x 1.04 - 0.04 x 0.04 x 0.04) = ? 0 3 1 2 0 3 1 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression = (1.04)² + 1.04 x 0.04 + (0.04)² / (1.04)³ - (0.04)³= (a² + ab + b²) / (a³ - b³) = (a² + ab + b²) / [(a-b) (a² + ab + b²)]= 1 / (a - b)= 1/ (1.04 - 0.04) = 1
Fractions and Decimals If the numerator of a fraction is increased by 2 and the denominator is increased by 1, the fraction because 5/8 and if the numerator of the same fraction is increased by 3 and the denominator is incr 4/7 2/7 3/7 1/7 4/7 2/7 3/7 1/7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the original fraction be p/q Then, (p + 2) / (q + 1) = 5/8⇒ 8p - 5q = 11 .....(i)Again (p + 3) / (q + 1) = 3/4⇒ 4p - 3q = 9 ...(ii)Solving equations , (i) and (ii), we get ,p = 3 and q = 7∴ Fraction = 3/7
Fractions and Decimals Which of the following fraction does not lie between 5/6 and 8/15? 4/5 2/3 6/7 3/4 4/5 2/3 6/7 3/4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Converting each of the given fractions into decimal form, we get,5/6 = 0.838/15 = 0.532/3 = 0.663/4 = 0.754/5 = 0.86/7 = 0.85Clearly, 0.85 does not lie between 0.83 and 0.53Hence the required fraction is 6/7.
Fractions and Decimals If 3 is added to the denominator of a fraction, it becomes 1/3 and if 4 be added to its numerator, It becomes 3/4, then fraction is ? 1/16 5/12 3/20 None of these 1/16 5/12 3/20 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the required fraction be p/q∵ p / (q + 3) = 1/3⇒ 3p - q = 3 ...(i)and, (p + 4) / q = 3/4 ⇒ 4p - 3q = -16 ...(ii)Solving these equations, we get p = 5, q = 12∴ Required fraction = 5/12
Fractions and Decimals 0.9 x 0.008=? 0.072 None of these 0.72 0.00072 0.072 None of these 0.72 0.00072 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 9 x 8=72∴ 0.09 x 0.008 = 0.00072 (Five place of decimal )
Fractions and Decimals (0.29)2 - (0.01)2/0.3 = ? 0.32 0.30 0.34 0.28 0.32 0.30 0.34 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
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