Find the least prefect square no. Which completely divisible by 56,60,84 and 96.

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Let X be the least no. Divisible by 16,24,30,36 and 45 and X is also a perfect square. What is the remainder when X is divisible by 123.

The greatest no. Of five digit that exactly divisible by each 8,12,15,and 20 is

The least no. Of five digit which exactly divisible by 52,56,78 and 91.

The number between 22000 and 23000 that divisible by each of 12,18,21 and 32.

The greatest number of six digit which gives reminder 10 when divisible by 36,48,54,60 and 90

The least no. Of 5 digit which is divisible by 45, 60 75 and 120 when it is added to 119.

Let X be the smallest number which when added to 2000 makes the resulting number divisible by 12,16 , 18 and 21 .The sum of the no. X is

M is the largest 4 digit number ,which when divided by 4,5,6,7 leaves reminder as 2,3,4, and 5 resp.What will be the remainder when M is divided by 9.

Which is the largest six digit number which when divided by 12,15,20,24 & 30 leaves the remiander 8,11,16,20 and 26 resp.

One of the factor

\((8^{2k}+5^{2k})\)where k is an odd .

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