A survey shows that 63 % of the people in a city read newspaper A whereas 76 % read news paper B . If x % of…

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:
  1. 29
  2. 37
  3. 65
  4. 55

Solution

nA=63

nB=76

nA∩B=x

Let n∪=100

nA∪B=nA+nB−nA∩B≤100

⇒63+76−x≤100

⇒x≥39

But nA∩B≤nA

∴ 39≤x≤63 .

Asked in: JEE Main 2020 (04 Sep Shift 1)

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