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If the average (arithmetic mean) of x, y, z, 5, and 7 is 8, which of

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Bunuel wrote:
If the average (arithmetic mean) of x, y, z, 5, and 7 is 8, which of the following must be true?

I. The median of the five numbers cannot be 5.

II. At least one of x, y, and z is greater than 9.

III. The range of the five numbers is 2 or more.

A. I only
B. II only
C. III only
D. I and III only
E. II and III only


given
x+y+z+12 = 40
x+y+z= 28
x,y,z have to be atleast be 9
so ii is correct which would make iii also correct
IMO E

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