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Question

I played 10 badminton matches in which I had a score list of 11, 12, 12, 14, 4, 5, 8, 9, 10, 10.
All the games were out of 16 points. In how many games did I have a score of more than half the points of the game?

A
7
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B
5
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C
3
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D
1
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Solution

The correct option is A 7
Half of the game score would be 8 points(12×16). Arranging my score in the ascending order I get the following order of scores.
4, 5, 8, 9, 10, 10, 11, 12, 12, 14

Clearly the games in which I scored 4, 5 and 8 don't count for this.

There are 7 games(10-3) in which I scored more than half of the game score.

I need to play harder...

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