IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Question 14

IIM B UG (B.Sc-Hons.)- Sample Paper 2026 question on Complex Numbers, with the answer and a step-by-step solution.

Complex NumbersAlgebraMultiple choiceEasy
The value of {\left( 1 + i \right)}^{2}, where {i}^{2}= -1, is:
  1. A
    2
  2. B
    1 + 2i
  3. C
    −2
  4. D
    2i
Pick an option, then check.
Answer & solution

Answer: Option D

Expand the square: (1 + i)² = 1² + 2(1)(i) + i².

That is 1 + 2i + i².

Since i² = −1, this becomes 1 + 2i − 1.

The real parts cancel, leaving 2i.

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