Question 845303
"When a whole number N is divided by 2, the remainder is 0" so the number is even.


"When N is divided by 3, the remainder is 2" which means that the digits must add to some number p, that when divided by 3, gives you a remainder of 2 again.


Notice how 1+7 = 8 and 8/3 = 2 remainder 2...but...17 is NOT even. So A is out


30 is even and 3+0=3 but 3/3 = 1 remainder 0, and we want remainder 2. So B is out.


49 is odd, so C is out


53 is odd, so D is out


74 is even and 7+4 = 11 ---> 11: 1+1 = 2, this means that 74/3, 11/3 both give remainders of 2.


So <font color="red">(E) 74</font> is the answer.