Fractions and Decimals If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is : 71/74 73/77 61/63 65/67 71/74 73/77 61/63 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.
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 expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to: 0.00004 0.0004 0.04 0.004 0.00004 0.0004 0.04 0.004 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 The value of [(0.96)³- (0.1)³] / [(0.96)² + 0.096 + (0.1)²] is : 0.86 0.36 0.56 0.46 0.86 0.36 0.56 0.46 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression=[(0.96)³ - (0.1)³] / [(0.96)² + (0.96 x 0.1) + (0.1)²]= [(a³ - b³) / (a² + ab + b²)] = (a - b)= (0.96 - 0.1)= 0.86
Fractions and Decimals The rational for the recurring decimal 0.125125......is None of these 125/99 125/999 125/9 None of these 125/99 125/999 125/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.125125...... = 0.125 = 125/999.
Fractions and Decimals ( 20 + 8 x 0.5 ) / ( 20 - ? ) = 12 20 14 18 16 20 14 18 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let (20 + 8 x 0.5) / ( 20 - y) =12Then, 24 =12 x (20 - y)∴ 12y = 216⇒ y = 18