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Problem

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question

Ramanujan and Hardy played a game where they both picked a complex number. If the product of their numbers was 32−8i32-8i, and Hardy picked 5+3i5+3i, what number did Ramanujan pick?
Plain-text mathematical notation (without MathML)
Ramanujan and Hardy played a game where they both picked a complex number. If the product of their numbers was 32−8i, and Hardy picked 5+3i, what number did Ramanujan pick?
Original LaTeX notation
Ramanujan and Hardy played a game where they both picked a complex number. If the product of their numbers was $32-8i$, and Hardy picked $5+3i$, what number did Ramanujan pick?

choices

  1. 32-8i
  2. 5+3i
  3. 4-i
  4. 4-4i

subject

high_school_mathematics

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Source and history

Official source

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