Thinking Skills
Each grid below has 4 rows and 4 columns. The two grids contain the same 16 letters arranged differently.
Question 1 · Multiple choice
Question
Each grid below has 4 rows and 4 columns. The two grids contain the same 16 letters arranged differently.
Grid 1
A B C D
E F G H
I J K L
M N O P
Grid 2
A C D B
E G F H
I K J L
M N O P
Comparing position by position (left to right, top to bottom), how many positions show a different letter in Grid 2 from Grid 1?
Options
- A.5
- B.6
- C.8
- D.7
Correct answer
Explanation
Step 1: Write out both grids side by side for easy comparison.
Position Grid 1 Grid 2 Same?
Row 1, Col 1: A vs A ✓
Row 1, Col 2: B vs C ✗
Row 1, Col 3: C vs D ✗
Row 1, Col 4: D vs B ✗
Row 2, Col 1: E vs E ✓
Row 2, Col 2: F vs G ✗
Row 2, Col 3: G vs F ✗
Row 2, Col 4: H vs H ✓
Row 3, Col 1: I vs I ✓
Row 3, Col 2: J vs K ✗
Row 3, Col 3: K vs J ✗
Row 3, Col 4: L vs L ✓
Row 4, Col 1: M vs M ✓
Row 4, Col 2: N vs N ✓
Row 4, Col 3: O vs O ✓
Row 4, Col 4: P vs P ✓
Step 2: Count the differences row by row.
| Row | Differences | Which positions? |
|---|---|---|
| Row 1 | 3 | Columns 2, 3, 4 (B→C, C→D, D→B) |
| Row 2 | 2 | Columns 2, 3 (F and G swapped) |
| Row 3 | 2 | Columns 2, 3 (J and K swapped) |
| Row 4 | 0 | All match |
Step 3: Add them up.
3 + 2 + 2 + 0 = 7 positions are different.



