Can you find the code to open the 3 digit number lock from the five clues each with a code and placement description? Go for the most efficient solution.

### 3 Digit Number lock puzzle with five clues including 682

Following are five clues each with a three-digit code for a number lock. Find the code to open the lock from the clues.

**Clue 1:** **Code 682:** One digit is right and is in its place.

**Clue 2:** **Code 614:** One digit is right and is in the wrong place.

**Clue 3: Code 206:** Two digits are right, but both are in the wrong place.

**Clue 4: Code 738:** All digits are wrong.

**Clue 5: Code 380:** One digit right and is in the wrong place.

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

**Time to solve:** 10 minutes.

### Solution to the 3 digit number lock puzzle with five clues including 682

Identify the promising pair of clues 1 and 2. In both, digit 6 appears in 1st position with conflicting placement description.

**Clue 1: Code 682:** One digit is right and is in its place.

**Clue 2: Code 614:** One digit is right and is in the wrong place.

- If digit 6 is the right digit, by Clue 1, its right position is the first, but by the second Clue, the right digit is wrongly placed. The conflict identifies
**the digit 6 as wrong**.

**Look for a clue with digit 6**, the already identified incorrect digit. **It will help in identifying right digits**. Such a clue is Clue 3.

**Clue 3: Code 206:** Two digits are right, but both are in the wrong place.

- As digit 6 is wrong, both
**digits 2 and 0 are two right digits.**

#### Find the correct placements of the two right digits

Return to Clue 1 with single right digit 2.

**Clue 1: Code 682:** One digit is right and is in its place.

- Digit 2 already identified as a correct digit.
**Position of digit 2 in the correct code is rightmost.**

**Analyze Clue 3 again** *as it includes both both correct digits 2 and 0.*

**Clue 3: Code 206:** Two digits are right, but both are in the wrong place.

- Digit 2 occupies rightmost position and
**middle position for the other right digit 0 is wrong.**So,**right position for digit 0 must be the leftmost.** - The
**code to open the lock is of the form 0 ? 2.**

#### Identify the third right digit for solution of the number lock riddle

Observe in Clue 2, **one of the two possible right digits 1 and 4** (as digit 6 is wrong) **occupies the only available middle position.**

**Clue 2: Code 614:** One digit is right and is in the wrong place.

- Digit 1 occupies the only available middle position and its position is wrong. Digit 1 doesn't have any place in the code.
- Digit 1 is the second wrong digit in 614.
**Digit 4 is the 3rd right digit and its position is in the middle of the code.**

The **code to open the number lock is 0 4 2.**

The Clue 4 and Clue 5 remain unused in this solution. **This confirms it as the most efficient solution.**

#### Comment

This is a reasoning puzzle with each clue a condition to be processed together with other clues gradually moving towards the solution. Challenge is how quick you can reach the solution.

To enjoy solving many more such number lock puzzles, click **here.**

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