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If the average (arithmetic mean) of distinct positive integers x, y, and z is 10, what is the greatest possible value of z ?

A)30 B)28 C)27 D)26 E)10

If the average of the 3 numbers is 10, effectively each is 10. To maximise one number, the other two should be minimum. Since they must be positive integers and distinct, they would be 1 and 2. The deviation of 9 and 8 would then be added to 10 to give 10+9+8 = 27. Hence maximum value of z must be 27.

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“Keep your head down, and work hard. Don’t attract any attention. You should be grateful to be here.” Why do we keep quiet? Being an immigrant is a constant...

“Keep your head down, and work hard. Don’t attract any attention. You should be grateful to be here.” Why do we keep quiet? Being an immigrant is a constant...