To solve this number grid logic puzzle, we need to find the missing digit. Let's analyze the given numbers:
1. The grid is 4x4.
2. Each row and each column must contain the digits 1, 2, 3, and 4 exactly once.
Here's what we have:
| | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| 1 | 4 | 1 | 2 | |
| 2 | 4 | 1 | | |
| 3 | | | | |
| 4 | 1 | | | |
Let's fill in the missing numbers step-by-step:
### Step 1: Analyze Rows and Columns
**Row 1:** Contains 4, 1, 2. Missing number: 3.
**Row 2:** Contains 4, 1. Missing numbers: 2, 3.
**Row 3:** Contains nothing yet. Missing numbers: 1, 2, 3, 4.
**Row 4:** Contains 1. Missing numbers: 2, 3, 4.
### Step 2: Analyze Columns
**Column 1:** Contains 4, 4, 1. Missing number: 3.
**Column 2:** Contains 1. Missing numbers: 2, 3, 4.
**Column 3:** Contains 2. Missing numbers: 1, 3, 4.
**Column 4:** Missing numbers: 1, 2, 3, 4.
### Step 3: Fill in the Grid
Start by filling in the obvious missing numbers:
1. **Row 1, Column 4:** The missing number is 3.
| | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| 1 | 4 | 1 | 2 | 3 |
| 2 | 4 | 1 | | |
| 3 | | | | |
| 4 | 1 | | | |
2. **Column 1, Row 3:** The missing number is 3 (since Column 1 needs a 3).
| | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| 1 | 4 | 1 | 2 | 3 |
| 2 | 4 | 1 | | |
| 3 | 3 | | | |
| 4 | 1 | | | |
3. Now, fill in **Row 2** with the remaining numbers (2, 3):
**Row 2, Column 3** must be 3 (since 2 is in Column 4):
| | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| 1 | 4 | 1 | 2 | 3 |
| 2 | 4 | 1 | 3 | 2 |
| 3 | 3 | | | |
| 4 | 1 | | | |
4. **Row 3, Column 4:** The missing number is 4 (since Row 3 needs a 4):
| | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| 1 | 4 | 1 | 2 | 3 |
| 2 | 4 | 1 | 3 | 2 |
| 3 | 3 | | | 4 |
| 4 | 1 | | | |
5. Now, fill in **Column 2** with the remaining numbers (2, 3, 4):
**Column 2, Row 3** must be 2 (since Row 3 needs 2):
| | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| 1 | 4 | 1 | 2 | 3 |
| 2 | 4 | 1 | 3 | 2 |
| 3 | 3 | 2 | | 4 |
| 4 | 1 | | | |
6. **Column 2, Row 4** must be 4 (since Row 4 needs 4):
| | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| 1 | 4 | 1 | 2 | 3 |
| 2 | 4 | 1 | 3 | 2 |
| 3 | 3 | 2 | | 4 |
| 4 | 1 | 4 | | |
7. Finally, **Row 4, Column 3** must be 3 (since Row 4 needs 3):
| | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| 1 | 4 | 1 | 2 | 3 |
| 2 | 4 | 1 | 3 | 2 |
| 3 | 3 | 2 | | 4 |
| 4 | 1 | 4 | 3 | |
So, the missing number in **Row 4, Column 4** is **2**.
Hence, the answer to the puzzle is **2**.
#LogicPuzzles #BrainTeasers #SudokuChallenge
Can you solve this number grid logic puzzle? Find the missing digit and challenge your mind! 🧩💡 Share your answer in the comments below! 👇🏻
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5moStep-by-Step Solution: 1) Fill in Row 1: - Row 1: [4, 1, 2, _] - Missing number is 3: [4, 1, 2, 3] 2) Fill in Row 2: - Row 2: [4, 1, _, _] - Missing numbers are 2 and 3. - 2 cannot be in column 4 (already in row 1), so: - Row 2: [4, 1, 2, 3] 3) Fill in Column 1: - Column 1: [3, 4, _, 1] - Missing number is 2: [3, 4, 2, 1] 4) Fill in Column 2: - Column 2: [4, 1, _, _] - Missing numbers are 2 and 3. - number 3 can only take row (2) position, hence - Column 2: [4, 1, 3, 2] 5) Fill in row 3: - Missing numbers are 1 and 4. - Number 1 cannot take column (3) position, hence - Row 3: [2, 3, 4, 1] 6) Similarly fill in the remaining cells ensuring no repetition: The missing digit in the provided position is <3>. Final grid: