Question

The following patterns are made on a wall by using ceramic tiles. Which of the given patterns is/are made from a single type of tile?

• A. A
• B. B
• C. C
• D. D

Hint:

In tiling pattern questions, check if the arrangement repeats with simple rotations of one tile, or if alternating tile designs are required.

Answer 1

The Correct Option is A, D

Step 1: Observe the tile design.
Each option is a pattern formed by repeating square spiral-like tiles. If the whole wall can be made by repeating a single identical tile (with possible rotation), then the answer is correct.
Step 2: Check option A.
All squares look identical. The spirals are aligned and repeated without requiring different tiles. ⇒ Possible.
Step 3: Check option B.
The spirals alternate orientations, indicating at least two different types of tiles. ⇒ Not possible with one tile.
Step 4: Check option C.
Again, there are alternating rotations of two different tile orientations. ⇒ Needs more than one tile.
Step 5: Check option D.
All spirals are aligned identically. ⇒ Single tile works.
Step 6: Conclude.
Only (A) and (D) are made from a single tile.
Final Answer: \[ \boxed{\text{A and D}} \]