5,16,6,16,7,16,9

Options

A. 9
B. 7
C. 6
D. none of these

Answer

To determine the odd one out in the series 5, 16, 6, 16, 7, 16, 9, we can analyze the pattern of the numbers.

### Step-by-Step Solution:

1. **Identify the Pattern**:
- The series alternates between two types of numbers: one set of numbers appears in odd positions (1st, 3rd, 5th, 7th) and another set appears in even positions (2nd, 4th, 6th).
- The odd-positioned numbers are: 5, 6, 7, 9.
- The even-positioned numbers are: 16, 16, 16.

2. **Examine the Odd-Positioned Numbers**:
- The sequence of odd-positioned numbers is: 5, 6, 7, 9.
- We notice that the first three numbers (5, 6, 7) are consecutive integers, increasing by 1 each time.
- However, the last number in this sequence is 9, which does not follow the pattern of increasing by 1 from the previous number (which would have been 8).

3. **Examine the Even-Positioned Numbers**:
- The even-positioned numbers are all 16. This part of the sequence is consistent and does not contain any odd number.

4. **Conclusion**:
- Since the odd-positioned numbers should continue the pattern of consecutive integers, the number 9 stands out as it breaks this pattern. The expected number after 7 should have been 8, not 9.
- Therefore, the odd one out in the series is **9**.

### Final Answer:
The odd one out in the series 5, 16, 6, 16, 7, 16, 9 is **9**.

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