In each of the following questions, find the wrong term in the given series.
11,22,34,47,61,77,92

Options

A. 77
B. 61
C. 92
D. 22

Answer

To solve the problem of finding the wrong term in the series 11, 22, 34, 47, 61, 77, 92, we will follow these steps:

### Step 1: Identify the pattern in the series
First, we need to find the differences between consecutive terms in the series.

- Difference between 11 and 22:
\( 22 - 11 = 11 \)

- Difference between 22 and 34:
\( 34 - 22 = 12 \)

- Difference between 34 and 47:
\( 47 - 34 = 13 \)

- Difference between 47 and 61:
\( 61 - 47 = 14 \)

- Difference between 61 and 77:
\( 77 - 61 = 16 \)

- Difference between 77 and 92:
\( 92 - 77 = 15 \)

### Step 2: Analyze the differences
Now, let's summarize the differences we calculated:
- 11, 12, 13, 14, 16, 15

We can see that the differences are supposed to follow a consecutive pattern of increasing by 1 each time, starting from 11. The expected differences should be:
- 11 (from 11 to 22)
- 12 (from 22 to 34)
- 13 (from 34 to 47)
- 14 (from 47 to 61)
- 15 (from 61 to 76)
- 16 (from 76 to 92)

### Step 3: Identify the incorrect term
Looking at the differences, we notice that instead of getting a difference of 15 between 61 and the next term, we have a difference of 16 (from 61 to 77). This indicates that 77 is not the correct term.

### Step 4: Correct the series
If we replace 77 with the correct term, which should be 76 (61 + 15), the series would look like this:
- 11, 22, 34, 47, 61, 76, 92

### Conclusion
Thus, the wrong term in the series is **77**.

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