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Suppose that  is a multiple of  3 and b is a multiple of 6 Which of the following statements must be true?

A.   b is a multiple of 3
B.  a-b is a multiple of 3
C.  a-b is a multiple of 6
D.   a-b  is a multiple of 2

List the choices in your answer separated by commas. For example, if you think they are all true, then answer "A,B,C,D".

 Jan 3, 2020
edited by Guest  Jan 3, 2020
 #1
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All of the statements are true!  So the answer is in fact "A, B, C, D".

 Jan 3, 2020
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     a  is a multiple of 3     say 9

     b is a multiple of 6     say 12        a - b  = -3    is NOT a multiple of 6    is NOT a multiple of 2

                                                             b IS a multiple of 3     and a-b IS a multiple of 3

 

A, B   

ElectricPavlov  Jan 3, 2020

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