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NTA Abhyas JEE Main2020MathematicsSets and RelationsPractice

If A & B are two sets such that n A × B = 60 & n A = 12 also n A ∩ B = K , then the sum of maximum & minimum possible value of K is

Options

  1. A17
  2. B12
  3. C5
  4. D7

Correct answer

C. 5

Step-by-step solution

n B = n A × B n A = 5 ∴ n A ∩ B has minimum value = 0 and n A ∩ B has maximum value = n B = 5

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