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A number lock requires a 3 digit code. Based on these hints, can you crack the code? 682 – one number is correct and in the correct position 645 – one number is correct but in the wrong position 206 – two numbers are correct but in the wrong positions 738 – nothing is correct 780 – one number is correct but in the wrong position?
Verified Answer
A number lock requires a 3 digit code. Based on these hints, can you c...
Given:
Statement A: 6 8 2 - one number is correct and well placed
Statement B: 6 1 4 - one number is correct but wrongly placed.
Statement c: 2 0 6 - two numbers are correct but wrongly placed.
Statement D: 7 3 8 - All are wrong.
Statement : E: 7 8 0 - one number is correct and wrong placed.
Conclusion: by the statements A, B , C and D we can say that number 2 is correct with its place in unit place.
Another number is 4 with its place in tens place.
By statement D and E we can say 0 is the correct number which should be placed in hundreds place.
Hence correct code is
0 4 2
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Most Upvoted Answer
A number lock requires a 3 digit code. Based on these hints, can you c...
To crack the code for the number lock, we can analyze the given hints and narrow down the possibilities. Let's break down the hints and analyze each one:
Hint 1: 682 – one number is correct and in the correct position
This means that one of the digits in the code is 6, and it is in the correct position. The other two digits are not 6.
Hint 2: 645 – one number is correct but in the wrong position
This tells us that one of the digits in the code is 4, but it is not in the correct position. So, we know that the code does not contain 4 in the second position.
Hint 3: 206 – two numbers are correct but in the wrong positions
From this hint, we can infer that two of the digits in the code are 2 and 0. However, their positions are not specified. So, we have three possible combinations: 2 _ 0, 0 _ 2, or _ 2 0.
Hint 4: 738 – nothing is correct
This hint tells us that none of the digits in the code are 7, 3, or 8.
Hint 5: 780 – one number is correct but in the wrong position
From this hint, we can deduce that one of the digits in the code is 0, but it is not in the correct position. Therefore, the code does not contain 0 in the third position.
Based on these hints, we can narrow down the possibilities for the code:
- The code does not contain 4 in the second position.
- The code does not contain 7, 3, or 8.
- The code does not contain 0 in the third position.
Now, let's combine these restrictions and analyze the possibilities:
1. _ 6 2: The code can have 6 in the first position, but it doesn't satisfy the other hints.
2. _ 8 2: The code can have 2 in the third position, but it doesn't satisfy the other hints.
3. 2 _ 0: This combination satisfies Hint 3, but it conflicts with Hint 1 (since 2 is not in the correct position).
4. 0 _ 2: This combination satisfies Hint 3, but it conflicts with Hint 5 (since 0 is not in the correct position).
Therefore, the only remaining possibility is:
5. 2 0 6: This combination satisfies Hint 3 (two numbers are correct but in the wrong positions) and does not conflict with any of the other hints.
Thus, the code for the number lock is 206.
Hint 1: 682 – one number is correct and in the correct position
This means that one of the digits in the code is 6, and it is in the correct position. The other two digits are not 6.
Hint 2: 645 – one number is correct but in the wrong position
This tells us that one of the digits in the code is 4, but it is not in the correct position. So, we know that the code does not contain 4 in the second position.
Hint 3: 206 – two numbers are correct but in the wrong positions
From this hint, we can infer that two of the digits in the code are 2 and 0. However, their positions are not specified. So, we have three possible combinations: 2 _ 0, 0 _ 2, or _ 2 0.
Hint 4: 738 – nothing is correct
This hint tells us that none of the digits in the code are 7, 3, or 8.
Hint 5: 780 – one number is correct but in the wrong position
From this hint, we can deduce that one of the digits in the code is 0, but it is not in the correct position. Therefore, the code does not contain 0 in the third position.
Based on these hints, we can narrow down the possibilities for the code:
- The code does not contain 4 in the second position.
- The code does not contain 7, 3, or 8.
- The code does not contain 0 in the third position.
Now, let's combine these restrictions and analyze the possibilities:
1. _ 6 2: The code can have 6 in the first position, but it doesn't satisfy the other hints.
2. _ 8 2: The code can have 2 in the third position, but it doesn't satisfy the other hints.
3. 2 _ 0: This combination satisfies Hint 3, but it conflicts with Hint 1 (since 2 is not in the correct position).
4. 0 _ 2: This combination satisfies Hint 3, but it conflicts with Hint 5 (since 0 is not in the correct position).
Therefore, the only remaining possibility is:
5. 2 0 6: This combination satisfies Hint 3 (two numbers are correct but in the wrong positions) and does not conflict with any of the other hints.
Thus, the code for the number lock is 206.
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A number lock requires a 3 digit code. Based on these hints, can you c...
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A number lock requires a 3 digit code. Based on these hints, can you crack the code? 682 – one number is correct and in the correct position 645 – one number is correct but in the wrong position 206 – two numbers are correct but in the wrong positions 738 – nothing is correct 780 – one number is correct but in the wrong position?
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A number lock requires a 3 digit code. Based on these hints, can you crack the code? 682 – one number is correct and in the correct position 645 – one number is correct but in the wrong position 206 – two numbers are correct but in the wrong positions 738 – nothing is correct 780 – one number is correct but in the wrong position? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A number lock requires a 3 digit code. Based on these hints, can you crack the code? 682 – one number is correct and in the correct position 645 – one number is correct but in the wrong position 206 – two numbers are correct but in the wrong positions 738 – nothing is correct 780 – one number is correct but in the wrong position? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number lock requires a 3 digit code. Based on these hints, can you crack the code? 682 – one number is correct and in the correct position 645 – one number is correct but in the wrong position 206 – two numbers are correct but in the wrong positions 738 – nothing is correct 780 – one number is correct but in the wrong position?.
A number lock requires a 3 digit code. Based on these hints, can you crack the code? 682 – one number is correct and in the correct position 645 – one number is correct but in the wrong position 206 – two numbers are correct but in the wrong positions 738 – nothing is correct 780 – one number is correct but in the wrong position? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A number lock requires a 3 digit code. Based on these hints, can you crack the code? 682 – one number is correct and in the correct position 645 – one number is correct but in the wrong position 206 – two numbers are correct but in the wrong positions 738 – nothing is correct 780 – one number is correct but in the wrong position? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number lock requires a 3 digit code. Based on these hints, can you crack the code? 682 – one number is correct and in the correct position 645 – one number is correct but in the wrong position 206 – two numbers are correct but in the wrong positions 738 – nothing is correct 780 – one number is correct but in the wrong position?.
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A number lock requires a 3 digit code. Based on these hints, can you crack the code? 682 – one number is correct and in the correct position 645 – one number is correct but in the wrong position 206 – two numbers are correct but in the wrong positions 738 – nothing is correct 780 – one number is correct but in the wrong position?, a detailed solution for A number lock requires a 3 digit code. Based on these hints, can you crack the code? 682 – one number is correct and in the correct position 645 – one number is correct but in the wrong position 206 – two numbers are correct but in the wrong positions 738 – nothing is correct 780 – one number is correct but in the wrong position? has been provided alongside types of A number lock requires a 3 digit code. Based on these hints, can you crack the code? 682 – one number is correct and in the correct position 645 – one number is correct but in the wrong position 206 – two numbers are correct but in the wrong positions 738 – nothing is correct 780 – one number is correct but in the wrong position? theory, EduRev gives you an
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