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# LCM & HCF || 24.01.2021

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Question 1

Highest Common factor of 27a3b2, 36a2b3, 54a2b2 is

Question 2

If x : y be the ratio of two whole numbers and z be their HCF, then the LCM of those two numbers is:

Question 3

Find the least possible perfect square number which is always divisible by 16, 20, 45 and 60.

Question 4

Let x be the least number which when divided by 8, 9, 12, 14 and 36 leaves a remainder of 4 in each case, but x is divisible by 11. The sum of the digits of x is _______.

Question 5

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?

Question 6

The sum of two numbers is 1215 and their HCF is 81. If the numbers are between 500 and 700, then the sum of the reciprocals of the number is _______.

Question 7

The least multiple of 13, which on dividing by 4, 5, 6, 7 and 8 leaves remainder 2 in each case is:

Question 8

The number of pairs lying between 40 and 100 such that HCF is 15 is :

Question 9

Find the largest number of 6 digit which when divided by 3, 4, 5, 6 and 8 gives remainder 1, 2, 3, 4, and 6 respectively.

Question 10

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?
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