1. **State the problem:** Find the value of $$\frac{300^2}{253^2 - 247^2}$$. 2. **Recognize the denominator as a difference of squares:** $$253^2 - 247^2 = (253 - 247)(253 + 247)$$ 3. **Calculate the difference and sum:** $$253 - 247 = 6$$ $$253 + 247 = 500$$ 4. **Evaluate the denominator:** $$6 \times 500 = 3000$$ 5. **Calculate the numerator:** $$300^2 = 90000$$ 6. **Divide numerator by denominator:** $$\frac{90000}{3000} = 30$$ 7. **Conclusion:** The value is 30, which corresponds to option (A).