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IMSO 2022 Mathematics — International Short Answer Question 11

IMSO Maths · IMSO 2022 Mathematics — International Short Answer

Question 11

Let n be the largest positive integer with the following properties:

(a) The remainder when 551 and 731 are divided by n are the same; which is R.

(b) The remainder when 1093 are divided by n is $R+2$.

What is the value of n divided by R – 1?