Number of students in five classes A–E and percentage who like each game (a student may play one/more/none).
| Class | Students | Cricket (%) | Tennis (%) | Handball (%) | Football (%) |
|---|---|---|---|---|---|
| A | 240 | 60 | 70 | 50 | 60 |
| B | 280 | 50 | 60 | 60 | 50 |
| C | 320 | 40 | 65 | 55 | 45 |
| D | 360 | 65 | 75 | 65 | 55 |
| E | 480 | 70 | 80 | 75 | 45 |
The maximum percentage of students in Class A who do not like to play any of the four given games can be
A40%
B10%
C50%
D30% ✓ Correct
Correct answer: (D) 30%
Explanation
The answer is 30 percent.
In Class A, 60 percent like cricket, 70 percent tennis, 50 percent handball and 60 percent football.
The students who dislike a given game are 40, 30, 50 and 40 percent respectively.
Those who like none of the four cannot exceed the smallest of these dislike figures.
The smallest is 30 percent, from the tennis figure.
So at most 30 percent of Class A likes none of the games.
So the answer is 30 percent.
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