Solved exercises GMAT QUANTITATIVE Number Properties Level 500 to 600

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?

A. 6
B. 8
C. 15
D. 12
E. 7

3.- What is the average (arithmetic mean) of all multiples of 5 from 10 to 400 inclusive?

(A) 190

(B) 195

(C) 200

(D) 205

(E) 210

4.- The greatest common factor of positive integers m and n is 12. What is the greatest common factor of (2m^2, 2n^2)?

A. 2
B. 12
C. 24
D. 144
E. 288

Resp: 1/c, 2/d, 3/d, 4/e

 

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