Step 1: Statement P states that the preliminary estimate is used for budgeting costs towards the end of the planning and design phase. This statement is correct as preliminary estimates provide an approximate cost to help in decision-making before detailed designs are completed.
Step 2: Statement Q mentions that the detailed estimate is used for controlling costs during the execution phase. This statement is also correct, as a detailed estimate provides an accurate cost assessment based on finalized project plans and specifications, helping in cost control during execution.
Conclusion: Since both statements P and Q are correct, the correct answer is option (A), which states that both P and Q are TRUE.