For which of the following values of n is (500+n)/n NOT an integer? Choose the correct option:
A) 1 B) 2 C) 3 D) 4 E) 5
Solution:   This problem is easiest solved by plugging in each answer choice.   A) (500 + 1)/1 = 501/1= 
<gadget id="calculator">501/1</gadget>
<output>501</output>
501   Answer choice A yields an integer.   B) (500 + 2)/2= 502/2= 
<gadget id="calculator">502/2</gadget>
<output>251</output>
251   Answer choice B yields an integer.   C) (500 + 3)/3= 503/3 = 167, remainder 2   Answer choice C DOES NOT yield an integer.   Although we believe answer choice C is correct, we should still test the other answer choices.   D) (500 + 4)/4 = 504/4= 
<gadget id="calculator">504/4</gadget>
<output>126</output>
126   Answer choice D yields an integer.   E) (500 + 5)/5= 505/5= 
<gadget id="calculator">505/5</gadget>
<output>101</output>
101   Answer choice E yields an integer.   Thus, the correct answer is answer choice 3.
<result>C</result>
For which of the following values of n is (500+n)/n NOT an integer?