A large sheet of paper is cut into two halves. The two halves are put together i.e. one above the other and again cut into halves. How many pieces will there be for ten such cuttings?

Options

A. 20
B. 512
C. 1024
D. 2048

Explanation

To solve the problem step by step, we can analyze the process of cutting the paper and how many pieces we get after each cut.

### Step-by-Step Solution:

1. **Initial Cut:**
- Start with 1 large sheet of paper.
- When you cut it in half, you get **2 pieces**.

2. **Second Cut:**
- Place the 2 halves on top of each other.
- When you cut these 2 pieces in half again, you will have **4 pieces** (each half is cut into two).

3. **Third Cut:**
- Place the 4 pieces on top of each other.
- Cutting these 4 pieces in half gives you **8 pieces**.

4. **Fourth Cut:**
- Place the 8 pieces on top of each other.
- Cutting these 8 pieces in half results in **16 pieces**.

5. **Fifth Cut:**
- Place the 16 pieces on top of each other.
- Cutting these 16 pieces in half yields **32 pieces**.

6. **Sixth Cut:**
- Place the 32 pieces on top of each other.
- Cutting these 32 pieces in half gives you **64 pieces**.

7. **Seventh Cut:**
- Place the 64 pieces on top of each other.
- Cutting these 64 pieces in half results in **128 pieces**.

8. **Eighth Cut:**
- Place the 128 pieces on top of each other.
- Cutting these 128 pieces in half yields **256 pieces**.

9. **Ninth Cut:**
- Place the 256 pieces on top of each other.
- Cutting these 256 pieces in half results in **512 pieces**.

10. **Tenth Cut:**
- Place the 512 pieces on top of each other.
- Cutting these 512 pieces in half gives you **1024 pieces**.

### Final Answer:
After 10 cuts, you will have **1024 pieces**.