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Question

Mathematics Question on Algebra of Complex Numbers

R = (a, b) : a + 5b = 42 and a, b ∈ N has m elements and n=1m(1+in!)\sum\limits_{n=1}^{m}(1+i^{n!}) = x + iy (where i = √-1). Find x + y + m.

A

20

B

12

C

8

D

13

Answer

20

Explanation

Solution

The Correct answer is option is (A) : 20