Consider the following statements
I. Carbon-12 is one of the isotope of carbon and can be represented as `""^12C.`
II. In the present system based on carbon-12 system, `""^12C` is assigned a mass of exactly 12 atomic mass unit (amu) and masses of all other atoms age given relative to this standard.
Choose the correct option.

Options

A. Statement I is correct
B. Statement II is correct
C. Both the statements are correct
D. Neither the statement I nor II is correct

Answer

To solve the question regarding the correctness of the two statements about Carbon-12, we can break down the statements and analyze them step by step.

### Step-by-Step Solution:

1. **Understanding Statement I**:
- The statement claims that "Carbon-12 is one of the isotopes of carbon and can be represented as `^12C`."
- Carbon has several isotopes, including Carbon-12 (`^12C`), Carbon-13 (`^13C`), and Carbon-14 (`^14C`).
- The notation `^12C` indicates that this isotope has a mass number of 12, which is correct.
- **Conclusion for Statement I**: This statement is true.

2. **Understanding Statement II**:
- The statement claims that "In the present system based on carbon-12, `^12C` is assigned a mass of exactly 12 atomic mass units (amu), and masses of all other atoms are given relative to this standard."
- In the atomic mass scale, Carbon-12 is indeed assigned a mass of exactly 12 amu. This is the standard against which the masses of all other elements are measured.
- The atomic mass of other elements is determined relative to the mass of Carbon-12. For example, if an element has a mass of 1 amu, it means it is 1/12 the mass of Carbon-12.
- **Conclusion for Statement II**: This statement is also true.

3. **Final Conclusion**:
- Since both statements are true, we can conclude that the correct option is that both statements are correct.

### Answer:
Both statements are true.