# 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 : 39/50 Explanation :3/5 =>0.6 1/2 =>0.5 39/50 =>0.78 59/100 =>0.59 3/10=>0.3 0.3<0.5<0.59<0.6<0.78 3/10<1/2<59/100<3/5<39/50 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. Which one among the following is the largest? A) 7/9 B) 11/14 C) 3/4 D) 10/13 Correct Answer : 11/14 Explanation :We have, 7/9 , 11/14 , 3/4 , 10/13 L.C.M. of (9, 14, 4, 13) = 3276 Now 7*364/3276 , 11*234/3276 , 3*819/3276 , 10*252/3276 2548/3276 , 2574/3276 , 2457/3276 , 2520/3276 So, Largest number = 2574/3276 = 11/14 The difference between two numbers 1365. When the larger number is divided by the smaller one the quotient is 6 and the remainder is 15.The smaller number is? A) 240 B) 270 C) 295 D) 360 Correct Answer : 270 Explanation :Let the smaller number be x, then larger number =1365+x Therefore 1365+x=6x+15 5x=1350 => x=270 Required number is 270. Find the smallest number of 6 digits which is exactly divisible by 111? A) 111111 B) 110011 C) 100011 D) 110101 Correct Answer : 10011 Explanation :Smallest number of 6 digits is 100000 On dividing 10000 by 111 we get 100 as remainder Number to be added =111-100=11. Hence,required number =10011. A number when divided by 342 gives a remainder 47.When the same number is divided by 19 what would be the remainder? A) 3 B) 5 C) 9 D) 11 Correct Answer : 9 Explanation :Number=342 K + 47 = 19 * 18 K + 19 * 2 + 9 = 19 ( 18K + 2) + 9. The given number when divided by 19 gives 18 K + 2 as quotient and 9 as remainder.