Fractions and Decimals The value of [0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02] / [0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04] is: 1.25 125 12.5 0.125 1.25 125 12.5 0.125 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression=[(0.1)³ + (0.02)³] / 2³ [(0.1)³ + (0.02)³]=1/8= 0.125
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 3/20 5/12 None of these 1/16 3/20 5/12 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 Out of the fractions 4/7, 5/13, 6/11, 3/5 and 2/3 which is the second smallest fraction ? 4/7 5/13 3/5 6/11 4/7 5/13 3/5 6/11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4/7 = 0.57, 5/13 = 0.38, 6/11 = 0.54, 3/5 = 0.6 and 2/3 = 0.67Clearly, the second smallest fraction is 6/11
Fractions and Decimals [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = ? 0 1 2 3 0 1 2 3 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 ( .009 / ?) = .01 0.09 0.9 9 0.009 0.09 0.9 9 0.009 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let .009 / x = .01; Then x = .009 / .01=.9 / 1= .9
Fractions and Decimals How many digits will be there to the right of the decimal point in the product of 95.75 and 0.2554 ? 6 7 5 8 6 7 5 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Sum of the decimal places = 7 .Since the last digit to the extreme right will be zero ( 5 * 4 = 20), so there will be 6 significant digits to the right of the decimal point....