Fractions and Decimals Two times of the third of three consecutive even integers is three times of the first. Then the second integer is 4 7 1 10 4 7 1 10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the consecutive three integers be X, X + 2 and X + 4Then, 2(X + 4) = 3XX = 8Now X + 2 = 10The required second integer is 10
Fractions and Decimals (.125 + .027) / (.5 x .5 - 1.5 + .09) = ? 8 0.8 800 80 8 0.8 800 80 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 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 ? 5/12 3/20 1/16 None of these 5/12 3/20 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 The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.3 2011 2012 2014 2013 2011 2012 2014 2013 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Suppose commodity X wil cost 40 paise more than Y after Z years.Then, (4.20 + 0.40Z) - (6.30 + 0.15Z) = 0.40 0.25Z = 0.40 + 2.10 Z= X will cost 40 paise more than Y 10 years after 2001 . i.e in 2011
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 16 17 18 19 16 17 18 19 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
Fractions and Decimals 3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}] = ? 0.5 1.0 2.0 1.5 0.5 1.0 2.0 1.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = 3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}] = 3 / [3- { 273 / (3 x 91)}] = 3 / (3-1)= 3 / 2 = 1.5