When integer b is divided by 13, the remainder is 6. Which of the following cannot be an integer?  Choose the correct choice from the following.
A) 13b/52
B) b/26
C) b/17
D) b/12
E) b/6
According to Bunuel's solution, since "b" is not divisible by 13, "b" will not be divisible by any integer which has 13 as factor so that b/26 (i.e., 2 * 13) cannot result in an integer.   For option A, 13b/52, even though the denominator has 13 as factor, this is cancelled out by the 13 in the numerator, resulting in an integer.   Alternatively, you can also plug in numbers:   b   6   19 (= 6 + 13)   32 (= 19 + 13)   45 (= 32 + 13)   58 (= 45 + 13)   71 (= 58 + 13)   84 (= 71 + 13)   97 (= 84 + 13)   110 (= 97 + 13)   123 (= 110 + 13)   136 (= 123 + 13)   149 (= 136 + 13)   .   .   . etc   You realise that 6 and 84 are divisible by 6; 84 is divisible by 12; 136 is divisible by 17; but none of the numbers for integer "b" are divisible by 13 or an integer with 13 as a factor!   So b/26 will not result in an integer.   ANSWER:b/26
<result>B</result>
When integer b is divided by 13, the remainder is 6. Which of the following cannot be an integer?