JEE Main20204 Sep 2020Morning ShiftMathematicsSets and RelationsActual
A survey shows that 63 % of the people in a city read newspaper A whereas 76 % read news paper B . If x % of the people read both the newspapers, then a possible value of x can be:
Options
- A29
- B37
- C65
- D55
Correct answer
D. 55
Step-by-step solution
n A = 63 n B = 76 n A ∩ B = x Let n ∪ = 100 n A ∪ B = n A + n B − n A ∩ B ≤ 100 ⇒ 63 + 76 − x ≤ 100 ⇒ x ≥ 39 But n A ∩ B ≤ n A ∴   39 ≤ x ≤ 63 .