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Rewrite each of the following statement...

Rewrite each of the following statements in the form of conditonal statemets.
The square of an odd number is odd.
(ii) You will get a sweet dish after the dinner.
(iii) You will fail, if you will not study.
(iv) The units digit of an integer is 0 or 5 if is not prime .
(v) The square of a prime number is not prime .
(vi ) 2b = a + c, if a, b and c are in AP.

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To rewrite each of the given statements in the form of conditional statements, we will follow the structure "If P, then Q," where P is the hypothesis and Q is the conclusion. ### Step-by-Step Solutions: 1. **Statement**: The square of an odd number is odd. - **Conditional Statement**: If a number is odd, then its square is odd. 2. **Statement**: You will get a sweet dish after the dinner. - **Conditional Statement**: If you have dinner, then you will get a sweet dish. 3. **Statement**: You will fail if you will not study. - **Conditional Statement**: If you do not study, then you will fail. 4. **Statement**: The units digit of an integer is 0 or 5 if it is not prime. - **Conditional Statement**: If an integer is not prime, then its units digit is 0 or 5. 5. **Statement**: The square of a prime number is not prime. - **Conditional Statement**: If a number is prime, then its square is not prime. 6. **Statement**: 2b = a + c, if a, b, and c are in AP. - **Conditional Statement**: If a, b, and c are in arithmetic progression (AP), then 2b = a + c.

To rewrite each of the given statements in the form of conditional statements, we will follow the structure "If P, then Q," where P is the hypothesis and Q is the conclusion. ### Step-by-Step Solutions: 1. **Statement**: The square of an odd number is odd. - **Conditional Statement**: If a number is odd, then its square is odd. 2. **Statement**: You will get a sweet dish after the dinner. ...
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