Problems On H.C.F And L.C.M – Aptitude MCQ Questions – 08 Posted on July 10, 2020July 10, 2020 by admin Question 1If HCF of p and q is x and q = xy, then the LCM of p and q is = ? A. pq B. qy C. xy D. py Question 2The HCF and LCM of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is = ? A. 12 B. 48 C. 84 D. 108 Question 3What is the least number which when divided by the number 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but when divided by 22 leaves no remainder ? A. 312 B. 242 C. 1562 D. 1586 Question 4The largest 4-digit number exactly divisible by each of 12, 15, 18 and 27 is? A. 9690 B. 9720 C. 9930 D. 9960 Question 5Three numbers are in the ratio 2 : 3 : 4, If their LCM is 240 the smaller of the three numbers is = ? A. 40 B. 60 C. 30 D. 80 Question 6The LCM of two numbers is 20 times their HCF. The sum of HCF ans LCM is 2520. If one of the number 480, the other number is = ? A. 400 B. 480 C. 520 D. 600 Question 7The HCF of two numbers , each having three digits, is 17 and their LCM is 714. The sum of the numbers will be ? A. 289 B. 391 C. 221 D. 731 Question 8The smallest number, which when divided by 5, 10, 12 and 15, leaves remainder 2 in each case , but when divided by 7 leaves no remainder , is = ? A. 189 B. 182 C. 175 D. 91 Question 9If the product of two numbers is 324 and their HCF is 3, then their LCM will be = ? A. 972 B. 327 C. 321 D. 108 Question 10If the sum of two numbers is 36 and their HCF and LCM are 3 and 105 respectively, the sum of the reciprocals of the numbers is = ? A. 2/35 B. 3/35 C. 4/35 D. None of these