Fractions and Decimals (.356 x .365 - 2 x .365 x .106 + .106 x .106) / (.632 x .632 + 2 x .632 x .368 +.368 x .368) = ? 6.25 .0625 .625 62.5 6.25 .0625 .625 62.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(.356)² -2 x .356 x .106 + (.106)²] / [(.632)²+2 x .632 x .368 +(.368)²]= (a² -2ab + b²) / (c²+2cd+d²)= (a - b)² / (c + d)²= (.356 -.106)² / (.632 + .368)²= (.25)² = .0625
Fractions and Decimals 9.75 x 9.75 - 2 x 9.75 x 5.75 + 5.75 x 5.75 = ? 17 15 18 16 17 15 18 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = a² -2ab + b² Where a =9.75 and b=5.75= (a-b)² = (9.75 - 5.75)² = 4²=16
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 3/7 1/7 4/7 2/7 3/7 1/7 4/7 2/7 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 54.327 x 357.2 x 0.0057 is same as 543.27 x 35.72 x 000.57 54327 x 3572 x 0.0000057 5.4327 x 3.572 x 0.57 5.4327 x 3.572 x5.7 543.27 x 35.72 x 000.57 54327 x 3572 x 0.0000057 5.4327 x 3.572 x 0.57 5.4327 x 3.572 x5.7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of decimal places in the given expression = 8Number of decimal places in (A) = 8Number of decimal places in (B) = 9 Number of decimal places in (C)= 7Clearly , the expression in (A) is the same as the given Expression.
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 ? None of these 1/16 5/12 3/20 None of these 1/16 5/12 3/20 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 Which of the following fraction is arranged in ascending order of their value? 1/4, 2/7, 3/4, 4/7, 5/7, 6/5 1/4, 2/7, 4/7, 5/7, 3/4, 6/5 2/7, 1/4, 4/7, 5/7, 3/4, 6/5 2/7, 1/4, 4/7, 3/4, 5/7, 6/5 1/4, 2/7, 3/4, 4/7, 5/7, 6/5 1/4, 2/7, 4/7, 5/7, 3/4, 6/5 2/7, 1/4, 4/7, 5/7, 3/4, 6/5 2/7, 1/4, 4/7, 3/4, 5/7, 6/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Converting the given fractions into decimal numbers, we have1/4 = 0.252/7 = 0.283/4 = 0.754/7 = 0.575/7 = 0.716/5 = 1.2So, 0.25 < 0.28 < 0.57 < 0.71 < 0.75 < 1.2Corresponding fraction is 1/4 < 2/7 < 4/7 < 5/7 < 3/4 < 6/5
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