Direction: In the following number series questions one number is wrong. Find out the wrong number.
9 5 6 10.5 23 61 183

Options

A. 61
B. 23
C. 10.5
D. 6

Answer

To find the wrong number in the series 9, 5, 6, 10.5, 23, 61, and 183, we can analyze the pattern of the numbers step by step.

### Step 1: Identify the relationship between the numbers
Let's look at the series:
- 9, 5, 6, 10.5, 23, 61, 183.

### Step 2: Analyze the first two numbers (9 and 5)
To go from 9 to 5:
- We can see that 9 - 4 = 5.
- Alternatively, we can consider a multiplication pattern. If we multiply 9 by a fraction, we can try to find a consistent pattern.

### Step 3: Analyze the next number (5 to 6)
To go from 5 to 6:
- We can see that 5 + 1 = 6.

### Step 4: Analyze the next number (6 to 10.5)
To go from 6 to 10.5:
- We can see that 6 * 1.75 = 10.5.

### Step 5: Analyze the next number (10.5 to 23)
To go from 10.5 to 23:
- We can see that 10.5 * 2.19 (approximately) = 23.

### Step 6: Analyze the next number (23 to 61)
To go from 23 to 61:
- We can see that 23 * 2.65 (approximately) = 61.

### Step 7: Analyze the next number (61 to 183)
To go from 61 to 183:
- We can see that 61 * 3 = 183.

### Step 8: Identify the pattern
The pattern seems to suggest that we are multiplying by increasing factors:
- 9 to 5: -4 (or a fraction)
- 5 to 6: +1
- 6 to 10.5: *1.75
- 10.5 to 23: *2.19
- 23 to 61: *2.65
- 61 to 183: *3

### Step 9: Check the consistency of the pattern
If we analyze the transition from 23 to 61, we see that:
- If we assume the previous number should be 60 instead of 61, we can check:
- 23 * 2.6 = 60 (approximately).

### Conclusion
Thus, the wrong number in the series is **61**. The correct number should be **60**.