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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

Correct Option: 4

Let total students =100= 100.

Readers of Internet news =25= 25, newspaper =45= 45, both =20= 20.

Students who read news (Internet or newspaper) =25+4520=50= 25 + 45 - 20 = 50.

Students who do not read news =10050=50= 100 - 50 = 50.


Among the 5050 non-readers, 30%30\% play video games:

Non-readers who play =0.3×50=15= 0.3 \times 50 = 15

Non-readers who do not play =5015=35= 50 - 15 = 35


The 2020 students who read both Internet and newspaper do not play video games (given).

So far, students who definitely do not play video games:

35+20=5535 + 20 = 55


The remaining 3030 students (who read exactly one of Internet or newspaper) have unknown video-game habits.

To minimise the count of non-players, assume all 3030 play video games. They contribute 00 to non-players.

Minimum non-players =55= 55

Answer =55= 55 percent

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