The value of \(\frac{{{{\left( {253} \right)}^3}\; + \;{{\left( {247} \right)}^3}}}{{25.3\; \times \;25.3 - 624.91\; + \;24.7\; \times \;24.\;7}}\)is 50 × 10k, where the value of k is ∶

• A. -3
• B. 4
• C. 3
• D. 2