Find the value

Question:

A survey shows that $63 \%$ of the people in a city read newspaper $\mathrm{A}$ whereas $76 \%$ read newspaper B. If $x \%$ of the people read both the newspapers, then a possible value of $x$ can be:

 

  1. 65

  2. 37

  3. 29

  4. 55


Correct Option: , 4

Solution:

$n(B) \leq n(A \cup B) \leq n(U)$

$\Rightarrow 76 \leq 76+63-x \leq 100$

$\Rightarrow-63 \leq-x \leq-39$

$\Rightarrow 63 \geq x \geq 39$

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