The Winning Combination 2
Logic puzzles require you to think. You will have to be logical in your reasoning.
You are back on the same game show with four other contestants. You didn't realise last time that the winner gets another appearance on the show! You now have another chance to win half a million dollars and become a millionaire! The objective is to crack the combination of the safe using the clues. The first person to do so will win $500,000.
The safe combination looks like this:
????????
A digit can be used more than once in the code, and there are no zeroes.
Here are the clues:
1. When adding the first number of the third set with the second number of the second set, you will get a number below 8.
2. The only digits not used in the code are 5 and 7.
3. When adding the two digits of the first set together, you will not get 10.
4. If you multiply the second set by 4, you will get the fourth set reversed.
5. No set has a number above 90.
6. The product of both the digits in the first set is below 30 but above 20.
7. One of the number sets is 66.
8. There is only one 8 in the combination, and it is in the last set.
Now, get cracking!
Warning: Hint shows which set the 66 is in.
Answer
The set is 39216648.
First of all, the second clue tells you there are no 5's or 7's in the combination.
Now we go to the fourth clue. It tells you that if you multiply the second set by 4, you will get the fourth set reversed. There are only a few numbers that will satisfy this:
11, 12, 16, 21, 22, 23 and 24.
Now we skip down to clue 8, which tells us there is one 8 only, and it is in the last set. It could either be the first digit or the second digit.
However, this eliminates these numbers from being in the second set: 11, 16, 23 and 24. Now, only 12, 21 and 22 are the possibilities for being in the second set.
Now, let's look at clue 7. This tells us that 66 is one of the four number sets. We know it can't be in the second, or fourth, and since clue six tells us the product of the two numbers in the first set ranges from 2129, 66 must go in the third set.
????66??
Now we must look at the first clue. The first number of the third set (6) plus the second number of the second set will get a number below 8. This means it cannot be 12 or 22, because they would both total 8. This means that the second set of numbers is 21. Making good progress!
??2166??
Now, we come back to clue 4 which tells us the second set multiplied by 4 equals the fourth set reversed. 21 multiplied by 4 is 84, which when reversed is 48!
??216648
Now, we come back to clue 6, which tells us the product of the digits in the first set is above 20 but below 30. These are the only numbers that satisfy that condition  and remember, no 5's, 7's or 8's are left in the combination:
39 (3 * 9 = 27)
46 (4 * 6 = 24)
64 (6 * 4 = 24)
93 (9 * 3 = 27)
Now, we look at clue 5. This eliminates 93. Now, come to clue 3. This tells us the sum of the two digits in the first set does not equal 10. This eliminates 46 and 64. The only number left is.... 39!
Now you have your answer;
39216648
Congratulations!!! You won, again!! You are over the moon! You have become the first millionaire in five generations of your family history!!
Hide
Comments
Winner4600
Dec 23, 2006
 nice to see it finally on site, although there was still an error in the answer... 
dex356
Dec 23, 2006
 awesome it must have taken alot of time to make this 
lavender
Dec 24, 2006
 I did! I can hardly ever get teasers like that! I loved it! Keep up the good work! 
(user deleted)
Dec 25, 2006
 loved the teaser...interesting but pretty easy.... 
scallio
Dec 31, 2006
 Awesome teaser! I love these.
Not to mention I am a half mil richer tonight!

Smarty
Jan 01, 2007
 I think the error was not in the answer but rather in the clues: clue 2 should state that the only digits not used are 0, 5 and 7, otherwise the "66" does not make sense. 
(user deleted)
Jan 03, 2007
 I had some semantic confusion with clue number 4, so I computated the combination of 39661284. 
keke9307
Jan 04, 2007
 took me ten minutes but i got it. yay me!! lol loved this teaser 
Jon0513
Jan 06, 2007
 This teaser was awesome. 
cecepeach83
Jan 19, 2007
 I heart this teaser lots. Smarty, the 0 exemption is menitoned in the setup before the clues so it is consistent. I had to go back and read that. Fun times for all. Make more of these! 
valeriy
Jan 26, 2007
 it was pritty good but too easy. you could have made it a little more difficult by removing clue #3 and #6. You would still be able to arrive to the answer by figuring out that 3&9 were not in the last 3 sets but they are in the combination(#2). so the 1st 2 digits are 3&9 and it cannot be 93(#5) so it must be 39. it would be great to see something more chalaging from you next time 
Jishter
Feb 03, 2007
 I thought it was great  no errors I could see, keep these coming. 
mommydyanne
Feb 14, 2007
 HI! Yes, it was pretty easy, but still good though. makes you think, and yet not feel stupid. 
Back to Top
 
