ReadingNation Wrote:Can someone help me with question #3 ... I copy and pasted the question below with the answer that was credited highlighted ...
3. If Gardner’s code has a lower numeric value than Jordan’s code, which one of the following must be false?
(A) Gardner’s code ends with a 4.
(B) Gardner’s code ends with a 3.
(C) Gardner’s code ends with an 8.
(D) Frank’s code ends with a 4.
(E) Frank’s code ends with an 8.
I answered B for this question and the system told me my answer was wrong! (it says C is the correct answer). But the way I see it, it has to be B:
- we are given that G < J, or in other words J > G. We also know (from the set-up) that H > J and F > all of them. So that gives us
F > H > J > G
Since we know one of our codes is 63 and that there must be 3 even codes, that means that the other codes must be _2, _4 and _8. (and we are told that J gets _2) What can go in the tens slot for these codes? 1, 5 and 7. Well, 7_ is going to be bigger than 63 so that must be F. 5_ and 1_ are both less than 63 so 63 must be H. J then has to get the 5 in the tens spot (making it 52) and G gets the 1 in the tens spot.
Thus we have: F = 7_, H = 63, J = 52 and G = 1_ where the _ is either 4 or 8 (we can't know). Looking at the answer choices, A, C, D and E all talk about G or F ending in 4 or 8 which we know MUST be true, so those can't be right. The only option left is B, which says G ends in 3 which we can plainly see is not the case. Therefore, that is the right choice! Isn't it? What am I missing?