If n is a natural number, then what is the sum of all distinct remainders of 4 n + 6 n + 9 n + 11 n when divided by 10 for various values of n?

UPSC CDS I 2024 Math Paper

Question : 18 of 100

Marks: +1, -0

If n is a natural number, then what is the sum of all distinct remainders of 4ⁿ + 6ⁿ + 9ⁿ + 11ⁿ when divided by 10 for various values of n?

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