The total number of two digit... | Number Theory JEE Main 2021

JEE MAIN 2021

25-02-2021 S2

Question

The total number of two digit numbers ' n ', such that $3^n+7^n$ is a multiple of 10 , is $\_\_\_\_$ .

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Solution

for $3^n+7^n$ to be divisible by 10 n can be any odd number ∴ Number of odd two digit numbers $=45$

Question Tags

JEE Main

Mathematics

Easy

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