The mean of five numbers is 30. If one number is excluded, their mean becomes 28. The excluded number is
(a) 28
(b) 30
(c) 35
(d) 38
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Solution
(d) 38
Mean of 5 numbers = 30
Sum of 5 numbers = 305 = 150
By excluding one number, the mean becomes 28.
Now,
Sum of 4 numbers = 284 = 112
Excluded number = (150112) = 38