second square of five-digit number made of numbers one
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Answer:
90625
Step-by-step explanation:
a five digit number, so that its square has its last five digits equal to the number
Let say number = n
then n² - n would be divisible by 100000
as last 5 digit of n² are same as n
=> n(n-1) divisible by 100000
=> n(n-1) divisible by 10⁵
=> n(n-1) divisible by 2⁵ * 5⁵
on solving we get number = 90625
90625² = 8212890625
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