Directions: In each question, four numbers are given out of which three are alike in same manner white one is different. Choose the odd one out.

Options

A. 392
B. 326
C. 414
D. 248

Explanation

To solve the problem of identifying the odd one out among the four given numbers based on their products being perfect squares, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Numbers**: Let's denote the four numbers given in the question as follows:
- Option 1: 3, 9, 2
- Option 2: 3, 2, 6
- Option 3: 4, 1, 4
- Option 4: 2, 4, 8

2. **Calculate the Product for Each Option**:
- **Option 1**: Calculate the product of 3, 9, and 2.
\[ 3 \times 9 \times 2 = 54 \]
- **Option 2**: Calculate the product of 3, 2, and 6.
\[ 3 \times 2 \times 6 = 36 \]
- **Option 3**: Calculate the product of 4, 1, and 4.
\[ 4 \times 1 \times 4 = 16 \]
- **Option 4**: Calculate the product of 2, 4, and 8.
\[ 2 \times 4 \times 8 = 64 \]

3. **Check for Perfect Squares**:
- **Option 1**: 54 is not a perfect square (since \( \sqrt{54} \) is not an integer).
- **Option 2**: 36 is a perfect square (since \( \sqrt{36} = 6 \)).
- **Option 3**: 16 is a perfect square (since \( \sqrt{16} = 4 \)).
- **Option 4**: 64 is a perfect square (since \( \sqrt{64} = 8 \)).

4. **Identify the Odd One Out**:
- From the calculations, we see that:
- Option 1 (54) is not a perfect square.
- Options 2, 3, and 4 (36, 16, and 64) are all perfect squares.
- Therefore, the odd one out is **Option 1: 3, 9, 2**.

### Final Answer:
The odd one out is **3, 9, 2**.

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