Number Properties Level 500 to 600
1.- If the remainder is 3 when m is divided by 14 and the remainder is 15 when n is divided by 40, which of the following must be true?
(A) m is even
(B) n is even
(C) m + n is even
(D) mn is even
(E) m/n is even
2.- If m is a positive integer and 162^3 is a multiple of 3^m, what is the largest possible values for m?
3.- What is the average (arithmetic mean) of all multiples of 5 from 10 to 400 inclusive?
4.- The greatest common factor of positive integers m and n is 12. What is the greatest common factor of (2m^2, 2n^2)?
Resp: 1/c, 2/d, 3/d, 4/e
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