In a class, 25% of all students read news from the Internet. Moreover, 45% of all students read news from printed newspaper. Further, 20% of all students read news from both the Internet and printed newspaper and they do not play video games. It is also known that 30% of the students who do not read news play video games. The minimum percentage of students who do not play video games is
In a class, 25% of all students read news from the Internet. Moreover, 45% of all students read news from printed newspaper. Further, 20% of all students read news from both the Internet and printed newspaper and they do not play video games. It is also known that 30% of the students who do not read news play video games. The minimum percentage of students who do not play video games is
Solution
Let total students .
Readers of Internet news , newspaper , both .
Students who read news (Internet or newspaper) .
Students who do not read news .
Among the non-readers, play video games:
Non-readers who play
Non-readers who do not play
The students who read both Internet and newspaper do not play video games (given).
So far, students who definitely do not play video games:
The remaining students (who read exactly one of Internet or newspaper) have unknown video-game habits.
To minimise the count of non-players, assume all play video games. They contribute to non-players.
Minimum non-players
Answer percent
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IPMAT Indore 2019