Consider the following information regarding a 3-digit PIN.
The correct PIN is
Step-by-Step Logic Solution:
1. Eliminate incorrect digits:
From Clue 2 [7 3 8], we know that "Nothing is correct." Therefore, the digits 7, 3, and 8 are not in the PIN.
2. Identify the first digit:
Look at Clue 5 [7 8 0]. Since 7 and 8 are eliminated, 0 must be a correct number. The clue says it is "wrongly placed" in the 3rd position. So, 0 must be in the 1st or 2nd position.
Now look at Clue 3 [9 0 6]. It says two numbers are correct but wrongly placed. We know 0 is one of them. Here, 0 is in the 2nd position and is "wrongly placed," which means 0 cannot be in the 2nd position. Combining this with the previous step, 0 must be in the 1st position.
3. Identify the third digit:
Look at Clue 1 [6 8 9]. We know 8 is not in the PIN. The clue says "One number is correct and correctly placed."
- If 6 were correct, it would be in the 1st position, but we already know 0 is in the 1st position.
- Therefore, 9 must be correct and correctly placed in the 3rd position.
4. Identify the middle digit:
From Step 2 and 3, we know 0 and 9 are the two correct numbers in Clue 3 [9 0 6]. This means 6 is not in the PIN.
Look at Clue 4 [6 1 5]. It says one number is correct but wrongly placed. Since 6 is out, either 1 or 5 is correct.
- If 1 were correct, it would be "wrongly placed" in the 2nd position, but that is the only spot left in our PIN [0 _ 9].
- Therefore, 5 must be the correct number. In Clue 4, it is in the 3rd position (wrongly placed), so it fits perfectly in the 2nd position.
Final Result:
The correct 3-digit PIN is 059.
Important Questions from Puzzle (Notes)
- There are five men - A, B, C, D and E, six women P, Q, R, S, T and Z. A, B, and R are advocates. S, Q, P, D and C are doctors and the rest are teachers. A team has to be selected from these eleven persons subject to the following conditions:
(I) A, P and Z have to be together.
(II) B cannot go with D or R.
(III) E and Q have to be together.
(IV) C and T have to be together.
(V) D and P cannot go together.
(VI) C cannot go with Q.
If the team formed consists of two male advocates, two lady doctors and one teacher, the members of the team can be: - Seven boxes S, F, G, H, T and U are kept one over the other but not necessarily in the same order. Only two boxes are kept below S. Only one box is kept above U. Only one box is kept between U and B. G is kept immediately above F. T is kept at some place below H.
How many boxes are kept between H and G? - Seven boxes E, F, G, H, S, T and U are kept one over the other but not necessarily in themsame order. No box is kept above E. Only three boxes are kept between E and U. Only one box is kept between G and H. H is kept immediately above U. Only four boxes are kept between G and F. T is kept at some place above S. Which box is kept second below T?
- Seven boxes E, F, G, H, S, T and U are kept one over the other but not necessarily in the same order. H is kept immediately above E. T is kept immediately above U. Only F is kept above S. Only two boxes are kept above H. T is not kept at third position from the bottom.
How many boxes are kept between G and F? - Seven boxes A, B, C, D, E, F and G are kept one over the other but not necessarily in the same order.
Only two boxes are kept between D and E. Only F is kept above C. No box is kept below E. G is kept at some place below A but at some place above B.
How many boxes are kept below B?
