rxs0005 wrote:
if the average of 6 numbers is 75 , how many of these numbers are > 75
four of the numbers are equal to 75
One of the numbers is less than 75
If the average (arithmetic mean) of 6 numbers is 75, how many of the numbers are greater than 75?
(1) Four of the numbers are equal to 75 --> either other two are also equal to 75, so we would have the following set {75, 75, 75, 75, 75, 75}, in this case zero numbers are more than 75
OR one of the numbers is more than 75 and another is less than 75 for example: {70, 75, 75, 75, 75, 80}, in this case one number is more than 75. Not sufficient.
(2) One of the numbers is less than 75. Clearly insufficient.
(1)+(2) Statement (2) leaves us with only second option from statement (1), so there is one number more than 75. Sufficient.
Answer: C.
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