In each question, a. number series is given. Only one number is wrong which doesn’t fit in the series. Find out the wrong number
15 20 27 37 51 72 95

Options

A. 27
B. 51
C. 37
D. 72

Answer

To find the wrong number in the series 15, 20, 27, 37, 51, 72, 95, we will analyze the pattern of the series step by step.

### Step 1: Identify the series
The given series is:
15, 20, 27, 37, 51, 72, 95

### Step 2: Calculate the differences between consecutive numbers
Let's calculate the differences between each pair of consecutive numbers:
- 20 - 15 = 5
- 27 - 20 = 7
- 37 - 27 = 10
- 51 - 37 = 14
- 72 - 51 = 21
- 95 - 72 = 23

So, the differences are:
5, 7, 10, 14, 21, 23

### Step 3: Analyze the differences
Now, let's analyze the differences:
- The first difference is 5.
- The second difference is 7 (which is 5 + 2).
- The third difference is 10 (which is 7 + 3).
- The fourth difference is 14 (which is 10 + 4).
- The fifth difference is 21 (which is 14 + 7).
- The sixth difference is 23 (which is 21 + 2).

The pattern in the differences seems to be increasing but not consistently.

### Step 4: Look for a consistent pattern
If we look closely, we see that:
- The first four differences (5, 7, 10, 14) follow a pattern of adding consecutive integers (2, 3, 4).
- The fifth difference jumps to 21, which breaks the pattern.
- If we continue the pattern, the next difference after 14 should be 19 (14 + 5), not 21.

### Step 5: Correct the series
If 51 is correct, then the next number should be:
51 + 19 = 70 (not 72).

### Step 6: Identify the wrong number
Since we calculated that the correct number after 51 should be 70, and the series has 72 instead, we conclude that:
**The wrong number in the series is 72.**

### Conclusion
The wrong number in the series 15, 20, 27, 37, 51, 72, 95 is **72**.

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