Which of the following statement is true

Options

A. 3 + 7 =4 or 3 – 7 = 4
B. If Pune is in Maharashtra, then Hyderabad is in Kerala
C. It is false that 12 is not divisible by 3
D. The square of any odd integer is even.

Answer

To determine which statement is true among the given options, we will analyze each statement step by step.

### Step-by-Step Solution:

1. **Evaluate the First Statement:**
- The first statement is "3 plus 7 is equal to 4" or "3 minus 7 is equal to 4."
- Calculate:
- \(3 + 7 = 10\) (not equal to 4)
- \(3 - 7 = -4\) (not equal to 4)
- Conclusion: Both parts of the first statement are false.

**Hint:** Check the basic arithmetic operations to verify the correctness of the statement.

2. **Evaluate the Second Statement:**
- The second statement is "If Pune is in Maharashtra, then Hyderabad is in Kerala."
- We know that Pune is indeed in Maharashtra, but Hyderabad is in Telangana, not Kerala.
- Conclusion: This statement is also false.

**Hint:** Verify geographical facts to determine the truth of the statement.

3. **Evaluate the Third Statement:**
- The third statement is "It is false that 12 is not divisible by 3."
- Check if 12 is divisible by 3:
- \(12 \div 3 = 4\) (which is a whole number)
- Since 12 is divisible by 3, the statement "12 is not divisible by 3" is false.
- Therefore, saying "It is false that 12 is not divisible by 3" is true.

**Hint:** Use the divisibility rule to check if a number is divisible by another.

4. **Evaluate the Fourth Statement:**
- Since we have only three statements to evaluate, we conclude here.

### Final Conclusion:
- The only true statement among the options is the third one: "It is false that 12 is not divisible by 3."

### Summary of True Statement:
- The correct answer is option 3.