# Fractions - Aptitude Questions and Answers

 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¯ Post/View Answer Post comment Cancel Thanks for your comment.! Write a comment(Click here) ...
 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 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. The denominators of an irreducible fraction is greater than the numerator by 2.If we reduce the numerator of the reciprocal fraction by 3 and subtract the given fraction from the resulting one,we get 1/15.Find the given fraction? A) 2/5 B) 2/3 C) 3/5 D) 5/3 Correct Answer : 3/5 Explanation :Let the numerator of the fraction be x. It is given that the denominator of the fraction is greater than the numerator of the fraction by 2. So the denominator becomes x+2. Therefore, fraction be x/(x+2) (x+2)-3 /x - x/(x+2) = 1/15 ------(1) (x-1)/x - x/(x+2) = 1/15 (x+2)(x−1)− x(x) / x(x+2) = 1/15 15(x+2)(x−1)−15x(x)= x(x+2) 15x^2 +15x−30−15x^2 =x^2 +2x x^2−13x+30=0 (x−10)(x−3)=0 ⇒x=10 or x=3 If x=3, the given fraction is x/(x+2)= 3/5 and it proof e(1) ie (x+2)-3 /x - x/(x+2) = 1/15 2/3 - 3/5 =1/15 ​ Hence the fraction is x/(x+2) = 3/5