Hi Turkish,
As wordy and 'layered' as this question looks, if you recognize how the 'restrictions' interact with one another, and pay attention to the answer choices, then you can avoid most of the work.
We're told a number of facts about a game and the cards that you use to play the game:
1) There are 12 cards, each with an integer written on it
2) The integers are consecutive
3) After drawing 2 cards, you multiply the product of the two numbers on the cards
4) The scores 40, 72 and 60 are earned during three turns.
We're asked which of the answers could NOT be the smallest number in the deck.
Let's focus on the number 40....
Since we have to get to the number 40 by using the product of 2 integers that are within "range" of one another (remember there are only 12 integers and they are CONSECUTIVE), there are only a few possible options....
40 =
(1)(40) --> NOT an option, since 1 and 40 are not within 12 integers.
(2)(20) --> NOT an option either
(4)(10) --> This IS an option
(5)(8) --> This IS an option
To get the "40" score, you either need the 4 or the 5....so one or the other or both needs to be on one of the cards.
Thus, there's no way that the 6 can be the smallest card.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
I reread your answer twice but still can't grasp one thing: how 0 and -1 can be the smallest number in this question?