For each pair of consecutive 2 -digit positive integers, there is a remainder when you square the larger integer and divide it by the smaller integer. What is the sum of the remainders for all such pairs?

A.
44
B.
45
C.
89
D.
90
Mathematics
Competition
Math League
Exam No:2021 First Round Grade 7 Year:2021 Question No:25

Answer:

C

Knowledge points:

G7 - Number Theory - Parity & Remainder Analysis

Solution:

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