Solution

Given:• Ten friends are playing archery.

• One can get only one of the six scores: 20, 40, 60, 80 and 100 or 0.

• At the end of the game, three friends scored 0, one friend 20, two friends 40, one friend 100 and the sum of the scores of remaining three is equal to 240

To find:• The median score of all the three friends.

Approach and Working: • We can arrange the score of seven friends as: 0, 0, 0 ,20, 40, 40,100

• We still need to find the score of remaining three friends to find the median score.

o Let us assume they scored a, b, and c.

o a + b + c =240

o As maximum score can be 240 only, hence their score can be:

80,80,80

• In this case, the median will be 40.

Or 100,100,40

• In this case, the median will be 40.

Or 100, 80, 60

• In this case, the median will be 40.

In all the cases, the median is 40.

Hence, the correct answer is option C.

Answer: C
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