tmua None Q8

tmua · Uk · specimen_paper2 Proof True/False Justification
8. Consider the following statement about the positive integer $n$ :
Statement (*): The sum of the four consecutive integers, the smallest of which is $n$, is a multiple of 6 .
Which one of the following is true?
A Statement () is true for all values of $n$.
B Statement (
) is true for all values of $n$ which are odd, but not for any other values of $n$.
C Statement (*) is true for all values of $n$ which are multiples of 3 , but not for any other values of $n$.
D Statement (*) is true for all values of $n$ which are multiples of 6 , but not for any other values of $n$.
E Statement (\textit{) is not true for any value of $n$.
8. Consider the following statement about the positive integer $n$ :

Statement (*): The sum of the four consecutive integers, the smallest of which is $n$, is a multiple of 6 .

Which one of the following is true?\\
A Statement (\textit{) is true for all values of $n$.\\
B Statement (}) is true for all values of $n$ which are odd, but not for any other values of $n$.

C Statement (*) is true for all values of $n$ which are multiples of 3 , but not for any other values of $n$.

D Statement (*) is true for all values of $n$ which are multiples of 6 , but not for any other values of $n$.

E Statement (\textit{) is not true for any value of $n$.\\