Fractions and Decimals (.538 x .538 - .462 x .462) / (1-.924) = ? 1 21 11 31 1 21 11 31 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [ (.538)² - (.462)² ] / .076 = [(.538 + .462)(.538 - .462)] /.076=.076 / .076 = 1
Fractions and Decimals The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to: 0.004 0.04 0.0004 0.00004 0.004 0.04 0.0004 0.00004 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = (11.98)² + (0.02)² + 11.98 x x.For the given expression to be a perfect square, we must have11.98 x x = 2 x 11.98 x 0.02 or x = 0.04
Fractions and Decimals (0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) = ? 0.014 14 1.4 0.14 0.014 14 1.4 0.14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(0.47)³ - (0.33)³] / [(0.47)² + 0.47 x 0.33 + (0.33)²]= [a³ - b³ ] / [ a² + ab + b²] = [(a-b) (a² + ab + b²)] / [(a² + ab + b²)]= (a - b) = (0.47 - 0.33) = 0.14
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 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, 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, 5/7, 3/4, 6/5 2/7, 1/4, 4/7, 3/4, 5/7, 6/5 1/4, 2/7, 4/7, 5/7, 3/4, 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 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 The rational for the recurring decimal 0.125125......is 125/9 None of these 125/99 125/999 125/9 None of these 125/99 125/999 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.125125...... = 0.125 = 125/999.
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