Problems On H.C.F And L.C.M – Aptitude MCQ Questions – 09 Posted on July 10, 2020July 10, 2020 by admin Question 1Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2028. The sum of the numbers is = ? A. 68 B. 72 C. 86 D. 91 Question 2The smallest number, which when increased by 5 is divisible by each of 24, 32, 36 and 64 is ? A. 869 B. 859 C. 571 D. 427 Question 3Sum of two numbers is 384. HCF of the numbers is 48. The difference of the numbers is = ? A. 100 B. 192 C. 288 D. 336 Question 4The LCM of two numbers is 44 times of their of HCF. The sum of the LCM and HCF is 1125. If one number is 25 then the other number is = ? A. 1100 B. 975 C. 900 D. 800 Question 5The greatest number for four digits which when divided by 12, 16 and 24 leave remainder 2,6 and 14 respectively is = ? A. 9974 B. 9970 C. 9807 D. 9998 Question 6The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 403. If one number is 93, find the other = ? A. 124 B. 128 C. 134 D. None of these Question 7The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300 , the two numbers are ? A. 273, 357 B. 273, 359 C. 273, 361 D. 273, 363 Question 8The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is ? A. 12 B. 72 C. 96 D. 132 Question 9The LCM of three different numbers is 120. Which of the following cannot be their HCF ? A. 8 B. 12 C. 24 D. 35 Question 10What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7 ? A. 37 B. 36 C. 39 D. 30