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The image shows a question from an online assessment, specifically Question 22. The text reads:

"Using only 1, 2, 5, 10, 25, and 50 paise coins, what is the minimum number of coins required to pay exactly 82 paise, 73 paise, and Rs. 1.04 to three different persons?"

The answer options are:
- A. 13
- B. 14
- C. 17
- D. 19

### Let's break this down:

- **82 paise** needs to be paid to the first person.
- **73 paise** needs to be paid to the second person.
- **104 paise (Rs. 1.04)** needs to be paid to the third person.

The goal is to find the minimum number of coins to achieve these amounts using the available denominations: 1, 2, 5, 10, 25, and 50 paise.

I'll calculate the minimum coins required for each amount.

### Calculation:

1. **For 82 paise**:
   - 1 coin of 50 paise.
   - 1 coin of 25 paise.
   - 1 coin of 5 paise.
   - 1 coin of 2 paise.
   - Total = 4 coins.

2. **For 73 paise**:
   - 1 coin of 50 paise.
   - 1 coin of 10 paise.
   - 1 coin of 10 paise.
   - 1 coin of 2 paise.
   - 1 coin of 1 paise.
   - Total = 5 coins.

3. **For 104 paise (Rs. 1.04)**:
   - 2 coins of 50 paise.
   - 1 coin of 2 paise.
   - 1 coin of 2 paise.
   - Total = 4 coins.

### Final Total:
- 4 coins for 82 paise.
- 5 coins for 73 paise.
- 4 coins for Rs. 1.04.

Thus, the total number of coins is \( 4 + 5 + 4 = 13 \).

### Answer:
The minimum number of coins required is **13**, so the correct answer is **A. 13**.

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Do you want further clarification or have any questions on this?

Here are 5 related questions:
1. How do coin denominations affect the optimal solution in problems like this?
2. What strategies can help in minimizing the number of coins for payments?
3. How would the solution change if different denominations were allowed?
4. Why is it important to use larger denominations first in coin problems?
5. Can you apply a similar approach to other currency systems?

**Tip:** Always prioritize using the largest denomination available when trying to minimize the number of coins or bills in a payment problem.

Using only 1, 2, 5, 10, 25, and 50 paise coins, what is the minimum number of coins required to pay exactly 82 paise, 73 paise, and Rs. 1.04 to three different persons?

Learn how to solve a coin payment problem using 1, 2, 5, 10, 25, and 50 paise denominations. This problem demonstrates how to use optimization techniques, such as the greedy algorithm, to minimize the number of coins. Suitable for Grades 6-8.

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