Question

If $A=\{x:xisaprimenumber\}$ and

$B=\{x:x\le 10,x\in N\}$

Then A ∩ B is

• A. {1, 3, 5, 7, 11, 13, 17, - - - -}
• B. {2, 3, 5, 7, 9, 11, - - - -}
• C. {3, 5, 7, 11, 13, 17, - - - -}
• D. None of these

Answer 1

The correct option is C

{3, 5, 7, 11, 13, 17, - - - -}

$A=\{x:xisaprimenumber\}\Rightarrow A=\{2,3,5,7,11,13,17,----\}$

$B=\{x:x\le 10,x\in N\}\Rightarrow B=\{1,2,3,4,5,6,7,8,9,10\}$

A ∩ B is defined as the set in which the elements common in both A & B are present.

$\Rightarrow A\cap B=\{2,3,5,7\}$