# Fractions - Aptitude Questions and Answers

 Which of the following is least number? A) 13/22 B) 15/24 C) 17/26 D) 19/28 Correct Answer :13/ 22 Explanation :Converting into decimal 13/22=>.59~ ,15/24=>.62~ , 17/26=>.65~ and 19/28=> .67~ there .59~ < .62~ < .65~ < .67~ ,So correct answer is 13/22 In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, then find the dividend? A) 4236 B) 4306 C) 4336 D) 5336 Correct Answer :5336 Explanation :Dividend = (Divisor x Quotient) + Remainder according the question remainder=46 divisor = 5*remainder=5*46 = 230 divisor=10*quotient quotient =230/10=>23 So dividend =(230*23)+46=5336 4.86¯ − 3.71¯ = ? A) 1.6¯ B) 1.5¯ C) 1.14¯ D) 1.15¯ Correct Answer :1.15¯ Explanation :4.86¯ − 3.71¯ =4+(86/99) − 3+(71/99) = (1+15/99) =1.15¯ 0.004 × 0.5 = ? A) 2 B) 0.02 C) 0.002 D) 0.0002 Correct Answer :0.002 Explanation :0.004 × 0.5 = 0.002 3 * 0.3 * 0.03 * 0.003 * 30=? A) .0000243 B) .000243 C) .00243 D) .0243 Correct Answer :.00243 Explanation :3 * 3 * 3 * 3 * 30 = 2430 Thus, 3 * 0.3 * 0.03 * 0.003 * 30 = 0.002430 (Six places of decimal ) Express 0.5¯ as a vulgar fraction? A) 5/10 B) 5/12 C) 5/9 D) 5/6 Correct Answer :5/9 Explanation :0.5¯ =5/9 Which of the following is larger than 3/5? A) 1/2 B) 39/50 C) 59/100 D) 3/10 Correct Answer :1/2 What should come in place of the question mark (?) in the following question 1111.1 + 111.11 + 11.111 = ? A) 1232.231 B) 1233.123 C) 1332.331 D) 1233.321 Correct Answer :1233.321 Explanation :the sum of the expression is 111.1 + 111.11 + 11.111 = 1233.321 1.4¯ is equal to which of the following? A) 14/10 B) 13/9 C) 14/9 D) 14/90 Correct Answer :13/9 Explanation :1.4¯ = 1 + 0.4¯ = 1 + (4/9) = 13/9 Find the equivalent fractions of 2/5 having numerator 6 ? A) 6/15 B) 6/10 C) 2/6 D) 6/5 Correct Answer :6/15 Explanation :2*3 = 6. This means we need to multiply both the numerator and denominator by 3 to get the equivalent fraction.Hence, required equivalent fraction 2/5 = 2 * 3 / 5*3 = 6/15 Which is smallest among 3/4 ,1/3 ,2/7 and 3/5 ? A) 3/4 B) 1/3 C) 2/7 D) 3/5 Correct Answer :2/7 Explanation :3/4 = 0.75, 1/3 = 0.33 ,2/7 = 0.28 and 3/5 = 0.60 Clearly, 0.28 ie, 2/7 is smallest. What number must subtracted from both the numerator and the denominator of the fraction 27/35 so that it becomes 2/3 ? A) 6 B) 8 C) 9 D) 11 Correct Answer :11 Explanation :Let the number be x. Then, (27 - x)/(35 - x) = 2/3 3(27-x) = 2(35-x) 81 - 3x = 70 - 2x 81 - 70 =3x - 2x x =11 So, Required number is 11.