168, 288, 360, 528, 841, 960

Options

A. 168
B. 841
C. 288
D. 360

Explanation

To find the odd one out in the series: 168, 288, 360, 528, 841, 960, we will analyze the numbers step by step.

### Step 1: Identify the pattern in the series
First, we will check if there is a common pattern or relationship among the numbers. We can start by examining the differences between consecutive numbers.

### Step 2: Calculate the differences
- Difference between 288 and 168:
\( 288 - 168 = 120 \)

- Difference between 360 and 288:
\( 360 - 288 = 72 \)

- Difference between 528 and 360:
\( 528 - 360 = 168 \)

- Difference between 841 and 528:
\( 841 - 528 = 313 \)

- Difference between 960 and 841:
\( 960 - 841 = 119 \)

So, the differences are: 120, 72, 168, 313, 119.

### Step 3: Analyze the differences
Now, let's analyze these differences:
- The differences do not form a clear arithmetic or geometric sequence.
- However, we can check if these numbers are divisible by certain factors or if they have any common characteristics.

### Step 4: Check for divisibility or properties
- 168: \( 2^3 \times 3 \times 7 \)
- 288: \( 2^5 \times 3^2 \)
- 360: \( 2^3 \times 3^2 \times 5 \)
- 528: \( 2^4 \times 3 \times 11 \)
- 841: \( 29^2 \)
- 960: \( 2^6 \times 3 \times 5 \)

### Step 5: Identify the odd one out
From the factorization, we can see that:
- All numbers except 841 are composite numbers (having more than two factors).
- 841 is a perfect square (29 squared), while the others are not.

### Conclusion
Thus, the odd one out in the series is **841**.

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