36 If x is an integer and y=4x+3, which of the following cannot be a divisor of y?

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问题 36 If x is an integer and y=4x+3, which of the following cannot be a divisor of y?

选项 A、5
B、6
C、7
D、9
E、23

答案B

解析 The most direct way to answer this question is to realize that for any integer x, 4x+3 cannot be an even number, so it therefore cannot be divisible by even numbers. Since 6 is the only even number among the answers, it has to be the answer. The other way to approach this is to plug a series of integers, starting with 1, into the equation and eliminate the choices until only 6 is left.
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