Bunuel wrote:
For which of the following values of n is (100+n)/n NOT an integer?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Solution:
This problem is easiest solved by plugging in each answer choice.
A) (100 + 1)/1 = 101/1 = 101
Answer choice A yields an integer.
B) (100 + 2)/2 = 102/2 = 51
Answer choice B yields an integer.
C) (100 + 3)/3 = 103/3 = 34, 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) (100 + 4)/4 = 104/4 = 26
Answer choice D yields an integer.
E) (100 + 5)/5 = 105/5 = 21
Answer choice E yields an integer.
Thus, the correct answer is answer choice C.
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