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What is the remainder when (4)^2n + 1 is divided by 5?(a) 4(b) 1(c) 2(d) 3I got this question during a job interview.My question comes from Binomial Theorem for Positive Integral Index in chapter Binomial Theorem of Mathematics – Class 11

Answer»

Correct option is (a) 4

Easy explanation: The powers of FOUR follow the GIVEN order:

4^1 = 4

4^2 = 16

4^3 = 64

4^4 = 256

4^5 = 1024 and so on.

Odd powers of 4, have the number 4 in the units PLACE. When 5 divides the nearest ten, 4 will be obtained as the remainder each TIME.



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