What is the smallest 5-digit number divisible by 11 and containing each of the digits 2, 3, 4, 5, 6?

Q.

How many 5-digit numbers divisible by 11 are there containing each of the digits 2, 3, 4, 5, 6?

Q. Number of $5$ digit numbers which are divisible by $5$ and each containing the digit $5$, digits being all different is equal to $k(4!)$, the value of $k$ is

Q.

A number when divided by 3,4,5,6,7 gives remainders 2,3,4,5,6 respectively. The smallest such 5 digit number is?

Q. The number of $5$ digit numbers which are not divisible by $5$ and contains $5$ odd digits {repetition of digits are not allowed} is

Q. Find the difference between the smallest number of 5 digits and the greatest number of 4 digits which is exactly divisible by 7, 12, 15 and 16.
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