Six friends, H, I, J, K, L and M, are members of a sports club. They play different games, namely volleyball, football, tennis, cricket, basketball and badminton, but not necessarily in that order. L plays tennis and is taller than H and K. The tallest one of them is a basketball player. J, who is the shortest, plays volleyball. K and I don’t play basketball. L is positioned between H and I in order of height and I is a football player.
Question
Six friends, H, I, J, K, L and M, are members of a sports club. They play different games, namely volleyball, football, tennis, cricket, basketball and badminton, but not necessarily in that order. L plays tennis and is taller than H and K. The tallest one of them is a basketball player. J, who is the shortest, plays volleyball. K and I don’t play basketball. L is positioned between H and I in order of height and I is a football player.
Solution
From the information given, we can deduce the following:
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L plays tennis and is taller than H and K. This means L cannot be the shortest or the second shortest.
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The tallest one of them is a basketball player. Since L is not the tallest (because L is taller than H and K but there is at least one person taller than L), the basketball player can't be L, H or K. Also, K and I don’t play basketball. So, the basketball player can only be M.
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J, who is the shortest, plays volleyball. So, J can't be H, K or L because these three are taller than J.
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L is positioned between H and I in order of height. This means I is taller than L. But since the tallest is M, I can't be the tallest. So, I is the second tallest. And since L is taller than H and K, H and K are the fourth and fifth tallest (in some order) and L is the third tallest.
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I is a football player. So, the football player can't be H, J, K, L or M.
So, the final arrangement is:
- M is the tallest and plays basketball.
- I is the second tallest and plays football.
- L is the third tallest and plays tennis.
- H is either the fourth or fifth tallest and plays either cricket or badminton.
- K is either the fourth or fifth tallest and plays either cricket or badminton.
- J is the shortest and plays volleyball.
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