Problems On H.C.F And L.C.M – Aptitude MCQ Questions – 08 Posted on July 10, 2020July 10, 2020 by admin Question 1The 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 2The largest 4-digit number exactly divisible by each of 12, 15, 18 and 27 is? A. 9690 B. 9720 C. 9930 D. 9960 Question 3The 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 4Three 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 5The 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 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 7What 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 8If 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 Question 9If 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 10If 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