If M is the set of all consecutive multiples of 9 between 100 and 500, what is the median of M? Choose one:	A) 300	B) 301	C) 301.5	D) 302.5	E) 306

Rationale: since 100 / 9 = 11.11 , 500 / 9 = 55.55 , m can be written as { 9 * 12 , 9 * 13 , . . . . , 9 * 54 , 9 * 55 } . the number of elements of m is , therefore , 44 ( = 55 - 12 + 1 ) . since the number of elements is even number the median is the average of the 22 nd element ( = 9 * 33 ) and 23 rd element ( = 9 * 34 ) . so the median is ( 9 * 33 + 9 * 34 ) / 2 = 301.5 . the answer is c .
Answer: C