If Ram secures 100 marks n math then he will get a mobile. The logically equivalent statement is

Options

A. if ram will get a mobile then he will not secures 100 marks in math
B. if ram will not get a mobile then he will secures 100 marks in math
C. if ram will get a mobile then he sucures 100 marks in math.
D. if ram will not get a mobile then he will nor secures 100 marks in math.

Explanation

To solve the question, we need to identify the logically equivalent statement to the given conditional statement: "If Ram secures 100 marks in math, then he will get a mobile."

### Step-by-Step Solution:

1. **Identify the Statements**:
- Let \( P \) be the statement "Ram secures 100 marks in math."
- Let \( Q \) be the statement "Ram will get a mobile."

2. **Write the Conditional Statement**:
- The original statement can be written in logical form as:
\[ P \implies Q \]
- This reads as "If \( P \) is true, then \( Q \) is true."

3. **Identify the Contrapositive**:
- The contrapositive of the statement \( P \implies Q \) is:
\[ \neg Q \implies \neg P \]
- This means "If Ram does not get a mobile, then he did not secure 100 marks in math."

4. **Identify the Converse**:
- The converse of the statement \( P \implies Q \) is:
\[ Q \implies P \]
- This means "If Ram gets a mobile, then he secured 100 marks in math."

5. **Determine the Logically Equivalent Statement**:
- The logically equivalent statement to \( P \implies Q \) is the contrapositive \( \neg Q \implies \neg P \).
- However, since the question asks for the equivalent form in the context of the options provided, we focus on the converse which is often considered in such questions.

6. **Conclusion**:
- The logically equivalent statement in the context of the options provided is:
\[ \text{If Ram gets a mobile, then he secured 100 marks in math.} \]

### Final Answer:
The logically equivalent statement is: "If Ram gets a mobile, then he secured 100 marks in math."