## Crack the number lock puzzle codes including 241

You have to crack the five number lock puzzle codes with 241 in one clue. Each clue includes a 3 digit code and correctness of digit positions.

**Try for the most efficient solution.**

## Number lock puzzle codes including 241

Following shows five clues each with a three-digit code for a number lock and descriptions of the digit positions. Find the code to open the lock from the clues.

**Clue 1: Code 2 4 1 :** One digit right and in right position.

**Clue 2: Code 4 1 3 :** All digits are wrongly placed.

**Clue 3: Code 5 3 2 :** Two digits right but wrongly placed.

**Clue 4: Code 3 4 7 :** One digit right but wrongly placed.

**Clue 5: Code 7 5 1 :** Two digits right but wrongly placed.

From these five clues, find the three-digit code that will open the number lock.

### Finding to Number lock puzzle code with clues including 241

#### Identify incorrect digits

From Clue 1 and Clue 5, digit 1 is wrong.

**Clue 1: Code 2 4 1 :** One digit right and in right position.

**Clue 5: Code 7 5 1 :** Two digits right but wrongly placed.

If by Clue 1, digit 1 the right digit, 1st position must be its right position, but Clue 5 violates this placement.

**Conclusion:**Digit 1 is incorrect.

From Clue 1 and Clue 4, digit 4 is wrong.

**Clue 1: Code 2 4 1 :** One digit right and in right position.

**Clue 4: Code 3 4 7 :** One digit right but wrongly placed.

Digit 4 cannot be the correct digit by Clue 1 and occupy a wrong place (not 2nd by Clue 1) by Clue 4.

**Conclusion:**Digit 4 is incorrect.**Also we know digit 1 incorrect.**

### Step 2: Identify one correct digit and its position

From Clue 1, 1st position goes to digit 2.

**Clue 1: Code 2 4 1 :** One digit right and in right position.

**Conclusion:**Right digit 2 takes 1st place.

### Step 3: Determine the other two correct digits and their positions

From Clue 5, digits 5, 7 are the two right. 5 and 7 can occupy either 2nd or 3rd.

**Clue 5: Code 7 5 1 :** Two digits right but wrongly placed.

**Conclusion:**With digit 1 wrong, digits*5 and 7 are the other two correct digits***with position either 2nd or 3rd.**

From Clue 4 find the solution.

**Clue 4: Code 3 4 7 :** One digit right but wrongly placed.

**Conclusion:**The single right digit 7 occupies a wrong 3rd position.**Conclusion:**Digit 7 must be in 2nd position (as 1st position is occupied by digit 2).**Conclusion:**Digit 5 must be in 3rd.

Correct code to open the number lock is **2 7 5.**

*The clues 2 and 3 not needed.* **This is the most efficient solution.**

#### End note

The key to quick solution of reasoning puzzles is processing the most suitable clue or condition either individually or together with other clues.

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