Consider the following propositions : p : To become on airfore officer one should be a graduate. q: one should have good health propositions:- To become an airfore officer one should be a graduate and should have good health " is represented by

Options

A. p v q
B. ` p to q `
C. p ^ q
D. ` p harr q`

Explanation

To convert the given propositions into symbolic form, we will follow these steps:

1. **Identify the Propositions**:
- Let \( p \) represent the proposition: "To become an Air Force officer one should be a graduate."
- Let \( q \) represent the proposition: "One should have good health."

2. **Understand the Compound Statement**:
- The compound statement we need to represent is: "To become an Air Force officer one should be a graduate and should have good health."
- This statement combines both propositions \( p \) and \( q \) using the word "and".

3. **Use Logical Connectives**:
- The word "and" in logical terms is represented by the conjunction symbol \( \land \).
- Therefore, the compound statement can be expressed as: \( p \land q \).

4. **Final Representation**:
- The symbolic representation of the statement "To become an Air Force officer one should be a graduate and should have good health" is \( p \land q \).

Thus, the final answer is \( p \land q \).