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# LCM & HCF || 12.03.2021

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Question 1

Find the greatest number such that when 86,261,521 are divided by it, it leaves the same remainder.

Question 2

A rectangular garden with dimensions of 20 ft and 14 ft has to be divided into small equal squares such that no area is left. Find minimum no of squares that can be made.

Question 3

The HCF of (x6−1) and (x4+2x3−2x−1) is:

Question 4

What is greatest four digit number which is completely divisible by 9, 12, 24 and 32?

Question 5

If A and B are the HCF and LCM respectively of two algebraic expression x and y, and A + B = x + y, then the value of A3 + B3 is:

Question 6

Find the smallest number which when divided by 4, 9, 12 and 16 leaves a remainder 3 in each case.

Question 7

Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits of N is:

Question 8

Four bells ring at intervals of 8,12, 16 and 28 seconds. They start ringing simultaneously at 1.00 o'clock. At what time will they again ring simultaneously?

Question 9

Find the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.

Question 10

Find the HCF of (4315 − 1) and (425 − 1):
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