Can anyone help me understand the logic for this one? The correct answer is A

So the best way to understand is just substitute a integer in the place of x ( say x=2 )

so 3x+1=3(2)+1=7 => its an odd !!

we know the next larger integer greater than 7 is 9 right ? . so substitute the value of x in each of the options .

you get 9 only from option A right ?!!

OH, we only want the next larger integer. Not the largest odd integer. Thank you!

Yeah !! you got it . No mentions