There are only two six-digit integers greater than 100000 for which $$\(n^{2}\)$$ has $$\(n\)$$ as its final six digits (or, equivalently, for which $$\(n^{2}-n\)$$ is divisible by $$\(10^{6}\)$$ ). One of the integers is 890625 . What is the other?
A.
109375
B.
123456
C.
156250
D.
109376
Exam No:2018 First Round Grades 10-12 Year:2018 Question No:26
Answer:
D
Knowledge points:
G10-12 - Number Theory - Modular Arithmetic (Application)
Solution:
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