Home Maths Complex Number JEE Main 2026 If , then the value of is:
Maths Complex Number JEE Main 2026 Single Correct MCQ
Published on: August 12, 2026

If , then the value of is:

A
162
B
175
C
145
D
128

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Text Solution

Verified by Experts
The correct answer is:
C

Given , so (primitive cube root of unity) with .

From the equation: .
Since , value of has period 3:

Fourth powers: .
For to 25 : 8 multiples of 3 contribute , remaining 17 terms contribute .
Total .

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