Fractions and Decimals [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = ? 0 2 3 1 0 2 3 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = [(a - b)² + (a + b)²] / (a²+ b²) (Where a = 3.537 and b = 0.948)= 2(a² +b²) / (a² +b²) = 2
Fractions and Decimals If 2805 / 2.55 = 1100, then 280.5 / 25.5 is equal to ? 41 11 21 31 41 11 21 31 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression 280.5 / 25.5 = 2805 / 255= 2805 / (2.55 x 100) = 1100 / 100 =11
Fractions and Decimals (3.65 x 3.65 + 2.35 x 2.35 - 2 x 2.35 x 3.65) / 1.69 = ? 1 2 3 4 1 2 3 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression=[(3.65)² + (2.35)² -2 x 3.65 x 2.35 ] / 1.69=a² + b² - 2ab / 1.69, Where a = 3.65 and b = 2.35=(a - b)² / 1.69 = (3.65 - 2.35)² / 1.69 = (1.3)² / 1.69 = 1.69 / 1.69 = 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 3/7 4/7 1/7 2/7 3/7 4/7 1/7 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 Which of the following fraction is arranged in ascending order of their value? 2/7, 1/4, 4/7, 3/4, 5/7, 6/5 2/7, 1/4, 4/7, 5/7, 3/4, 6/5 1/4, 2/7, 4/7, 5/7, 3/4, 6/5 1/4, 2/7, 3/4, 4/7, 5/7, 6/5 2/7, 1/4, 4/7, 3/4, 5/7, 6/5 2/7, 1/4, 4/7, 5/7, 3/4, 6/5 1/4, 2/7, 4/7, 5/7, 3/4, 6/5 1/4, 2/7, 3/4, 4/7, 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
Fractions and Decimals A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am." What was the age of 18 16 19 17 18 16 19 17 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the present age of person be x years.Then, 3(x + 3) - 3(x - 3 ) = x <=> (3x + 9) - (3x - 9) = x <=> x = 18