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# LCM & HCF || 23.04.2021

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Question 1

A temple has five bells which ring at the intervals of 12, 15, 16, 20 and 25 minutes respectively. If they ring together at midnight, then at what time next will they ring together?

Question 2

The highest possible length of a ribbon which can measure exactly the cloths 95m, 228m and 342m is ?

Question 3

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

Question 4

The least number of 4-digit which when doubled will be exactly divisible by 8, 12 and 16?

Question 5

If the Least common Multiple of 56, 57 and 58 is K, then what will be the Least Common Multiple of 56, 57, 58 and 59?

Question 6

What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?

Question 7

In a factory, there are three different qualities of oils of different amounts. 1404 litres of first quality, 2364 litres of second quality and 2496 litres of third quality. Find the least possible number of bottles of equal size in which oils of different qualities can be filled without mixing.

Question 8

The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

Question 9

The LCM of two numbers is 114 times their HCF. If the sum of LCM and HCF is 2300 and one of the numbers is 380, find the other number.

Question 10

4 Bells toll together at 11:00 A.M. They toll after the interval of 7, 8, 10 and 18 seconds respectively. How many times will they toll together again in the next 4 hours?
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