TMUA Official Specimen Paper 2 · Question 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?

AStatement

(*)

is true for all values of

n

BStatement

(*)

is true for all values of

n

which are odd, but not for any other values of

n

CStatement

(*)

is true for all values of

n

which are multiples of 3, but not for any other values of

n

DStatement

(*)

is true for all values of

n

which are multiples of 6, but not for any other values of

n

EStatement

(*)

is not true for any value of

n

examday