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Find the value of i420

This question was previously asked in
Agniveer Navy SSR: 25th May 2025 Shift 2 Memory-Based Paper
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  1. -1
  2. 1
  3. i
  4. -i

Answer (Detailed Solution Below)

Option 2 : 1
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Detailed Solution

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Concept:

Identities:

  • i2 = -1
  • i3 = -i
  • i4 = 1
  • i4n = 1
  • i4n+1 = i
  • i4n+2 = -1
  • i4n+3 = -i


Calculation:

Let S = i420 

S = i4(105)

S = i4n = i4(105) = 1

S = 1

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