Fractions and Decimals (.125 + .027) / (.5 x .5 - 1.5 + .09) = ? 800 8 80 0.8 800 8 80 0.8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]= [a³ + b³] / [a² - ab + b²]=[(a + b)(a² - ab + b²)]/ [a² -ab + b²]= a+b = 0.5 + 0.3 = 0.8
Fractions and Decimals If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ? 1.72 17.2 172 None of these 1.72 17.2 172 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 29.94 / 1.45 = 299.4 / 14.5 = [(2994 /14.5) x (1 / 10)] [ Here, Substitute 172 in the place of 2994/14.5 ]=172 / 10= 17.2
Fractions and Decimals Convert 0.34 in to a vulgar fraction ? 17 17/50 17/100 17/25 17 17/50 17/100 17/25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.34 = 34/100 = 17/50
Fractions and Decimals The greatest fraction out of 2/5, 5/6, 11/12 and 7/8 is ? 5/6 2/5 7/8 11/12 5/6 2/5 7/8 11/12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2/5 = 0.4 , 5/6 = 0.833, 11/12 = 0.916 and 7/8 = 0.875Clearly, the greatest fraction is 0.916, i, e . 11/12.
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 ? 3/20 5/12 1/16 None of these 3/20 5/12 1/16 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 If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is : 61/63 71/74 73/77 65/67 61/63 71/74 73/77 65/67 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x / y = 0.04 / 1.5 = 4 / 150 = 2 / 75.= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77.
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