If M is a positive integer such that average of 31 33 M 36 37 lies b w 40 and 43 both inclusive What...........

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If M is a positive integer such that average of 31, 33, M, 36. 37 lies b/w 40 and 43 (both inclusive). What is the number of possible values of M?

No such M exists

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Explanation:

31 + 33 + 36 + 37 = 137
If Avg (inc M) = 40 => Total 40 x 5 = 200 => M = 200 – 137 = 63
If Avg (inc M) = 43 => Total 43 x 5 = 215 => M = 215 – 137 = 78
Therefore, Number of possible values M can take = 78 – 63 + 1 (Don’t forget to add the 1) = 16

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