Fractions and Decimals [(0.87)³ + (0.13)³] / [(0.87)² - 0.87 x 0.13 + (0.13)²] = ? 2 4 1 3 2 4 1 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression = ( a³ + b³ )/ (a² + b² - ab) where = 0.87 and b = 0.13= [(a + b ) (a² + b² - ab)] / (a² + b² - ab) = a + b = 0.87 + 0.13= 1
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 3/5 6/11 5/13 4/7 3/5 6/11 5/13 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 0.001 / ? = 0.01 0.1 0.01 None of these 0.001 0.1 0.01 None of these 0.001 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let 0.001 / x = 0.01 Then , x = 0.001 / 0.01 = 0.001 / 0.010= 1 / 10 = 0.1
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 ? 1/16 5/12 None of these 3/20 1/16 5/12 None of these 3/20 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 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 17 16 19 18 17 16 19 18 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 In the year 2011, Shantanu gets a total of Rs. 3832.5 as his pocket allowance. Find his pocket allowance per day.? Rs. 1.50 Rs. 10.50 Rs. 1000.50 Rs. 100.50 Rs. 1.50 Rs. 10.50 Rs. 1000.50 Rs. 100.50 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Allowance per day = 3832.5 / 365 = Rs. 10.50
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