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Answer to Q12

Figure out the correct code
6 | 8 | 2 - One number correct and placed well
6 | 1 | 4 - One number correct but placed wrongly
2 | 0 | 6 - Two numbers are correct but placed wrongly
7 | 3 | 8 - Nothing correct
8 | 7 | 0 - One number correct but placed wrongly

First clue says 6 | 8 | 2 - One number correct and placed well so we know the correct code will be like one of these 6 _ _, _ 8 _ or _ _ 2

Second clue says 6 | 1 | 4 - One number correct but placed wrongly so we know our code might contain one of 6, 1, or 4 and it won't be at their current positions

Third clue says 2 | 0 | 6 - Two numbers are correct but placed wrongly so we know either 2|0, 0|6 or 2|6 is correct but not in their current positions

Fourth clue says 7 | 3 | 8 - Nothing correct so we know our code can never be _ 8 _ (so we are left with 6 _ _ or _ _ 2)

Fifth clue says 8 | 7 | 0 - One number correct but placed wrongly but from fourth clue we can't have 7 and 8 as part of our code so we know 0 is part of our code

Now we know 0 is part of our code and if we go back to the third clue we now know 0 is one if the two correct numbers and the 0 can't be in the middle position and from fifth clue it can't also be in the last position of our final code so our code is definitely in the format 0 _ _

Going back to first clue we now know 6 _ _ (since that is starting with 6 and not 0) and _ 8 _ (earlier proved) can't be correct so our correct format is _ _ 2 (i.e. 0 _ 2)

Going back to second clue, we now know 6 is out and we are left with either 1 or 4 and since we are now looking for the middle number, we know it can't be 1 so it's definitely 4

Answer: 0|4|2



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Answer to Q12

Figure out the correct code
6 | 8 | 2 - One number correct and placed well
6 | 1 | 4 - One number correct but placed wrongly
2 | 0 | 6 - Two numbers are correct but placed wrongly
7 | 3 | 8 - Nothing correct
8 | 7 | 0 - One number correct but placed wrongly

First clue says 6 | 8 | 2 - One number correct and placed well so we know the correct code will be like one of these 6 _ _, _ 8 _ or _ _ 2

Second clue says 6 | 1 | 4 - One number correct but placed wrongly so we know our code might contain one of 6, 1, or 4 and it won't be at their current positions

Third clue says 2 | 0 | 6 - Two numbers are correct but placed wrongly so we know either 2|0, 0|6 or 2|6 is correct but not in their current positions

Fourth clue says 7 | 3 | 8 - Nothing correct so we know our code can never be _ 8 _ (so we are left with 6 _ _ or _ _ 2)

Fifth clue says 8 | 7 | 0 - One number correct but placed wrongly but from fourth clue we can't have 7 and 8 as part of our code so we know 0 is part of our code

Now we know 0 is part of our code and if we go back to the third clue we now know 0 is one if the two correct numbers and the 0 can't be in the middle position and from fifth clue it can't also be in the last position of our final code so our code is definitely in the format 0 _ _

Going back to first clue we now know 6 _ _ (since that is starting with 6 and not 0) and _ 8 _ (earlier proved) can't be correct so our correct format is _ _ 2 (i.e. 0 _ 2)

Going back to second clue, we now know 6 is out and we are left with either 1 or 4 and since we are now looking for the middle number, we know it can't be 1 so it's definitely 4

Answer: 0|4|2

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