JEE MAIN - Mathematics (2020 - 4th September Morning Slot - No. 1)
A survey shows that 63% of the people in a city read newspaper A whereas 76% read
newspaper B. If x% of the people read both the newspapers, then a possible value of x can be:
37
65
29
55
Explanation
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A $$ \cup $$ B = 63 - x + x + 76 - x = 139 - x
As 139 - x $$ \le $$ 100
$$ \Rightarrow $$ x $$ \ge $$ 39
From venn diagram, you can see x should be less than 76 and 63 otherwise only A newspaper or only B newspaper reader will be negative number.
Intersection of x $$ \le $$ 63 and x $$ \le $$76 is = x $$ \le $$ 63.
$$ \therefore $$ 39 $$ \le $$ x $$ \le $$ 63
From options possible value of x = 55.
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