If p `-=` "She goes to market" and
q `-=` "She buys some fruits".
then choose the correct symbol for the given statement :
If she goes to market, then she buys some fruits :

Options

A. `~| p ^^ q`
B. `p implies q`
C. `p ^^ q`
D. `~| p ^^ q`

Answer

To solve the problem, we need to represent the statement "If she goes to market, then she buys some fruits" using logical symbols based on the definitions given for \( p \) and \( q \).

### Step-by-Step Solution:

1. **Identify the Statements**:
- We are given two statements:
- \( p \): "She goes to market"
- \( q \): "She buys some fruits"

2. **Understand the Logical Structure**:
- The statement we need to represent is "If she goes to market, then she buys some fruits".
- In logical terms, this is an implication. The structure of an implication is usually written as \( p \implies q \), where \( p \) is the antecedent (the "if" part) and \( q \) is the consequent (the "then" part).

3. **Translate the Statement into Symbols**:
- From the given statement:
- The "if" part corresponds to \( p \) (she goes to market).
- The "then" part corresponds to \( q \) (she buys some fruits).
- Therefore, we can write the statement as:
\[ p \implies q \]

4. **Conclusion**:
- The correct symbol representation for the statement "If she goes to market, then she buys some fruits" is \( p \implies q \).

### Final Answer:
The required answer is \( p \implies q \).

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