Problems On H.C.F And L.C.M – Aptitude MCQ Questions – 13

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Question 1
The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively ?



Question 2
Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. After how many seconds will they toll together again ?



Question 3
The least number which when increased by 5 is divisible by each one of 24, 32, 36 and 54 is = ?



Question 4
The number nearest to 43582 divisible by each of 25, 50 and 75 is = ?



Question 5
A milk vendor has 21 litres of cow milk, 42 litres of toned milk and 63 litres of double toned milk. If he wants to pack them in cans, so that each can contains same litres of milk and does not want to mix any two kinds of milk in a can, then the least number of cans required is = ?



Question 6
The least number which when divided by 6, 9, 12, 15, 18 leaves the same remainder 2 in each case is = ?



Question 7
Product of two co-prime numbers is 117. Then their LCM is = ?



Question 8
What is the greatest number of 3 digits which when divided by 6, 9 and 12 leaves a remainder of 3 in each case ?



Question 9

HCF of  2/3,4/5 and 6/7 is = ?



Question 10

The sum of two numbers is 45. Their difference is  1/9 of their sum. Their LCM is = ?



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