Self Maths Puzzle Numerical Ability Number System

A number is like xxyyz, where x>y>z eg 99771. If number is divided by 101, find the smallest remainder.

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Self Other Question

If all letters of MATHS were rearranged to form different words possible. Then in dictionary order, rank of MATHS would be- total no of 4 digit natural numbers divisible by either 101 or 7.