A drum contains 3 to 5 jars each of which contains 30 to 40 marbles. If 10 percent of the marbles are flawed, which of the folllowing cannot be the number of flawed marbles?

Options

A. 9
B. 11
C. 13
D. 25

Answer

To solve the problem step by step, let's break it down:

### Step 1: Determine the maximum number of jars and marbles
The drum contains between 3 to 5 jars, and each jar contains between 30 to 40 marbles. We need to find the maximum possible number of marbles.

- Maximum number of jars = 5
- Maximum number of marbles per jar = 40

**Calculation:**
\[ \text{Maximum total marbles} = \text{Number of jars} \times \text{Marbles per jar} = 5 \times 40 = 200 \]

### Step 2: Calculate the maximum number of flawed marbles
It is given that 10% of the marbles are flawed. Now we will calculate 10% of the maximum number of marbles (200).

**Calculation:**
\[ \text{Flawed marbles} = 10\% \text{ of } 200 = \frac{10}{100} \times 200 = 20 \]

### Step 3: Analyze the options
Now we need to determine which of the given options cannot be the number of flawed marbles. We know the maximum number of flawed marbles is 20.

Let's analyze the options:
- Option A: 9 flawed marbles (acceptable, as 9 < 20)
- Option B: 11 flawed marbles (acceptable, as 11 < 20)
- Option C: 13 flawed marbles (acceptable, as 13 < 20)
- Option D: 25 flawed marbles (not acceptable, as 25 > 20)

### Conclusion
The number of flawed marbles that cannot be possible is **25**.

### Final Answer:
**25 marbles cannot be flawed.**

---