If A = {x : 0 ≤ x ≤ 2} and B = {y; y is a prime number}, then what is A ∩ B equal to?

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NDA (Held On: 17 Nov 2019) Maths Previous Year paper
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  1. Φ
  2. {1}
  3. {2}
  4. {1, 2}

Answer (Detailed Solution Below)

Option 3 : {2}
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Detailed Solution

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Concept:

The prime numbers = A number that can be divided only by itself and 1

Calculation:

Given: A = (x : 0 ≤ x ≤ 2) and B = {y; y is a prime number}

A = (0, 1, 2) and B = (2, 3, 5, 7, 11, 13, 17, 19, .....)

So, from the above, The common number between A and B is 2.

⇒ A ∩ B = {2}

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