Question

what is the smallest number when divided by 3 4 5 6 and 7 can leave a remainder of 2 and when divided by 9 leaves a remainder of 8

Answer 1

Answer:

Let say X is the number which is divisible by 3,4,5 and 6.

Then the X+2 will leave reminder 2 when divided by 3, 4, 5 and 6.

6 can be written as 3 * 2 and 4 can be written as 2 *2.

If a number is divisible by 6 that means it is divisible by 3 and 2, if a number is divisible by 4 that means it is divisible by 2.

So X can be written as a factor of 3 * 2 * 2 * 5 = 60 as the above function covers all the four integers 3, 4, 5 and 6.

62 is the smallest number which gives 2 as reminder when divided by 3, 4, 5 and 6.

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