The following questions are accompanied by two statements I and II. You have to determine which statements(s) is/are sufficient/ necessary to answer the questions.
What is age of veer after two years?
I. Average of age of Abhimanyu & Kumar is 36 years and ratio of Kumar & Patel is 1:2.
II. Age of Patel is two years more than age of veer & average age of Patel & Abhimanyu is 48 years.

Options

A. Statement i alone is sufficient to answer the question but statement II alone is not sufficient to answer the questions.
B. Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.
C. Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
D. Either statement I or statement II by itself is sufficient to answer the question.

Answer

To determine Veer's age after two years, we will analyze the two statements provided:

### Given:
- We need to find Veer's age after 2 years.

### Statement I:
- The average age of Abhimanyu and Kumar is 36 years.
- The ratio of Kumar's age to Patel's age is 1:2.

From the first part of Statement I, we can derive that the total age of Abhimanyu and Kumar combined is:
\[ \text{Average} = \frac{\text{Age of Abhimanyu} + \text{Age of Kumar}}{2} \]
\[ 36 = \frac{A + K}{2} \implies A + K = 72 \quad \text{(1)} \]

From the second part, if Kumar's age is \( K \), then Patel's age \( P \) can be expressed as:
\[ \frac{K}{P} = \frac{1}{2} \implies P = 2K \quad \text{(2)} \]

However, we cannot determine Veer's age from this information alone, as we do not have any direct information about Veer's age or a relationship involving Veer.

### Statement II:
- The age of Patel is two years more than the age of Veer.
- The average age of Patel and Abhimanyu is 48 years.

From the first part of Statement II, we can express Patel's age \( P \) in terms of Veer's age \( V \):
\[ P = V + 2 \quad \text{(3)} \]

From the second part, we can derive the total age of Patel and Abhimanyu:
\[ \text{Average} = \frac{P + A}{2} = 48 \implies P + A = 96 \quad \text{(4)} \]

Now, substituting equation (3) into equation (4):
\[ (V + 2) + A = 96 \implies A + V = 94 \quad \text{(5)} \]

From equation (5), we can express Veer's age in terms of Abhimanyu's age:
\[ V = 94 - A \quad \text{(6)} \]

### Conclusion:
Now, we have two statements:
- Statement I does not provide sufficient information to determine Veer's age.
- Statement II provides a relationship that allows us to express Veer's age in terms of Abhimanyu's age.

However, we still need to know the value of \( A \) (Abhimanyu's age) to find Veer's age directly. Therefore, we cannot determine Veer's age with either statement alone.

### Final Answer:
Both statements together are necessary to find Veer's age after two years.