Find out the wrong number in the series 125,106,88,76,65,58,53

Options

A. 125
B. 106
C. 88
D. 76

Answer

To find the wrong number in the series 125, 106, 88, 76, 65, 58, 53, we will analyze the differences between consecutive numbers and look for a pattern.

### Step-by-Step Solution:

1. **Identify the Series**:
The series given is:
125, 106, 88, 76, 65, 58, 53.

2. **Calculate the Differences**:
We will calculate the differences between each consecutive pair of numbers:
- 125 - 106 = 19
- 106 - 88 = 18
- 88 - 76 = 12
- 76 - 65 = 11
- 65 - 58 = 7
- 58 - 53 = 5

So, the differences are: 19, 18, 12, 11, 7, 5.

3. **Analyze the Differences**:
Now, let's analyze the differences:
- The first difference is 19.
- The second difference is 18.
- The third difference is 12.
- The fourth difference is 11.
- The fifth difference is 7.
- The sixth difference is 5.

We notice that the differences do not follow a consistent pattern.

4. **Check for Prime Numbers**:
The video transcript suggests that the series involves prime numbers. Let's check the differences again:
- The first difference (19) is a prime number.
- The second difference (18) is not a prime number.
- The third difference (12) is not a prime number.
- The fourth difference (11) is a prime number.
- The fifth difference (7) is a prime number.
- The sixth difference (5) is a prime number.

The pattern suggests that we should be adding prime numbers.

5. **Identify the Wrong Number**:
If we consider that the differences should be prime numbers, we notice that the difference between 106 and 88 (which is 18) is not a prime number. The correct prime number that should fit here is 13 (since 106 - 13 = 93, which is not in the series).

Therefore, the wrong number in the series is **88**.

6. **Conclusion**:
The wrong number in the series is **88**.