Fractions and Decimals If 1.5 x a = 0.04 x b then the value of (b - a) / ( b + a) is ? 73/77 None of these 730/77 73/770 73/77 None of these 730/77 73/770 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a / b = 0.04 / 1.5 = 4 / 150 = 2 / 75∴ Given Exp. (b - a) / ( b + a)= (1- a/b ) / (1 + a/b) = (1- 2 / 75) / (1 + 2 / 75)= ( 73/75 ) / ( 77/75)= 73/77
Fractions and Decimals ( 0.5 x 0.5 x 0.5 x 0.6 x 0.6 x 0.6 ) / ( 0.5 x 0.5 - 0.3 + 0.6 x 0.6 ) = ? 11 11.1 111.1 1.1 11 11.1 111.1 1.1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(0.5)³ + (0.6)³ ] / [(0.5)² - 0.5 x 0.6 + (0.6)²]= (a³+b³) / ( a²-ab+b²)= a + b= 0.5 + 0.6= 1.1
Fractions and Decimals Which of the following fraction is the smallest ? 3/7 5/7 11/13 9/11 3/7 5/7 11/13 9/11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 11/3 = 0.846,9/11 = 0.818,3/4 = 0.75 and 5/7 = 0.714Clearly, 0.714 is the smallest and hence 5/7 is smallest fraction .
Fractions and Decimals When .36 is written in simplest fractional form, the sum of the numerator and the denominator is : 34 23 37 29 34 23 37 29 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.36 = 36 / 100 = 9 / 25. Sum of Numerator and Denominator = 9 + 25 = 34.
Fractions and Decimals A boy on being asked 13/14 of a certain fraction had made the mistake of dividing the fraction by 14/13 and so got an answer that exceeded the correct answer by 3/65. The correct fraction is ? 16/45 13/45 19/45 None of these 16/45 13/45 19/45 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fraction be N.Then, N / (13/14) - (13/14) x N = 3/65⇒ 14N/13 - 13N/14 = 3/65⇒ (196N - 169N)/182 = 3/65⇒ 27N/182 = 3/65∴ N = (3 x 182) / (27 x 65) = 14/45So, correct answer will be (13/14) x (14/45) = 13/45
Fractions and Decimals (4.5 x 3.7 + 4.5 x 6.3)/(1.5 x 8.4 - 1.5 x 7.4) = ? 30 20 5 10 30 20 5 10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (4.5 x 3.7 + 4.5 x 6.3)/(1.5 x 8.4 - 1.5 x 7.4) = 4.5 x (3.7 + 6.3)/1.5 x (8.4 - 7.4) = 4.5 x 10/1.5 x 1 = 30