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4-digit number wanted, remainder by 37 related

Source: Indian Postal Coaching 2009 set 5 p4

May 26, 2020
Digitsremaindernumber theory

Problem Statement

A four - digit natural number which is divisible by 77 is given. The number obtained by writing the digits in reverse order is also divisible by 77. Furthermore, both the numbers leave the same remainder when divided by 3737. Find the 4-digit number.