In each of these question a number series is given in which one number is wrong find out wrong number
10 4.5 3.5 5 16 122 1904

Options

A. 122
B. 4.5
C. 3.5
D. 5

Answer

To find the wrong number in the series: 10, 4.5, 3.5, 5, 16, 122, 1904, we will analyze the pattern step by step.

### Step-by-Step Solution:

1. **Identify the Pattern**:
- The first number is 10. To get from 10 to the next number (4.5), we can observe that we multiply by 0.5 and then subtract 0.5.
- Calculation: \(10 \times 0.5 - 0.5 = 5 - 0.5 = 4.5\)

2. **Continue the Pattern**:
- Now, to get from 4.5 to 3.5, we multiply by 1 and then subtract 1.
- Calculation: \(4.5 \times 1 - 1 = 4.5 - 1 = 3.5\)

3. **Next Transition**:
- To get from 3.5 to 5, we multiply by 2 and then subtract 2.
- Calculation: \(3.5 \times 2 - 2 = 7 - 2 = 5\)

4. **Next Step**:
- To get from 5 to 16, we multiply by 3 and then subtract 4.
- Calculation: \(5 \times 3 - 4 = 15 - 4 = 11\) (This is incorrect, as we expect to get 16, so we need to check the next step.)

5. **Continuing the Pattern**:
- From 16, we should multiply by 4 and then subtract 8.
- Calculation: \(16 \times 4 - 8 = 64 - 8 = 56\) (This is also incorrect, as we expect to get 122.)

6. **Final Step**:
- Now, if we check the transition from 16 to 122, we see that the pattern does not hold. Instead, if we multiply 16 by 4 and subtract 8, we should get 120.
- Calculation: \(16 \times 4 - 8 = 64 - 8 = 56\) (Again, this is incorrect.)

7. **Identifying the Wrong Number**:
- The number 122 does not fit the pattern. The correct number should have been 120.
- Therefore, the wrong number in the series is **122**.

### Conclusion:
The wrong number in the series is **122**.