Question

Which is correct regarding the statement: “if x is an odd integer, then the median of x , x 2, x 6, and x 10 is an odd number”?

Answer 1

The median of x, x + 2, x + 6 and x + 10 is (x + 2 + x + 6) / 2 = (2x + 8) / 2 = x + 4.
Since it is given that x is an odd integer, x + 4 is also an odd integer and hence the statement is true.