You are given two series in two rows. In the first row, a full series is given which follows a specific pattern. The second row has a series, similar to the first series but only first element of this series is produced followed by (A), (B), (C), (D) and (E) for the subsequent elements. You have to complete the series starting with a given number and answer the question that follows.
`{:("25","194","73","154","105",),("14","A","B","C","D","E"):}`
What will come in place of D?

Options

A. 183
B. 62
C. 69
D. 94

Explanation

To solve the problem, we need to identify the pattern in the first series and then apply that pattern to the second series to find the value of D.

### Step-by-Step Solution:

1. **Identify the First Series**: The first series is given as:
- 25, 194, 73, 154, 105

2. **Calculate the Differences**:
- From 25 to 194:
\[ 194 - 25 = 169 \]
- From 194 to 73:
\[ 73 - 194 = -121 \]
- From 73 to 154:
\[ 154 - 73 = 81 \]
- From 154 to 105:
\[ 105 - 154 = -49 \]

3. **Recognize the Pattern**:
- The differences calculated are:
- \( +169 \) (which is \( 13^2 \))
- \( -121 \) (which is \( -11^2 \))
- \( +81 \) (which is \( 9^2 \))
- \( -49 \) (which is \( -7^2 \))
- The pattern alternates between addition and subtraction of squares of odd numbers decreasing by 2.

4. **Apply the Pattern to the Second Series**:
- The second series starts with 14:
- First, we add \( 169 \) to 14:
\[ 14 + 169 = 183 \quad (This will be A) \]
- Next, we subtract \( 121 \) from 183:
\[ 183 - 121 = 62 \quad (This will be B) \]
- Then, we add \( 81 \) to 62:
\[ 62 + 81 = 143 \quad (This will be C) \]
- Finally, we subtract \( 49 \) from 143 to find D:
\[ 143 - 49 = 94 \quad (This will be D) \]

5. **Conclusion**:
- The value that comes in place of D is **94**.