## Realated Questions

The digits of a three-digit number A are written in the reverse order to form another three-digits number B. If B > A and B - A is perfectly divisible by 7, then which of the following is necessarily true?

Let n! = 1×2×3×....×n for integer n ≥ 1. If p=1!+(2×2!)+(3×3!)+....+(10×10!), then p+2 when divided by 11! leaves a remainder of

Let S be a set of positive integers such that every element n of S satisfies the conditions

1. 1000 ≤ n ≤ 1200

2. every digit in n is odd

Then how many elements of S are divisible by 3?