Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Advanced Algorithms
Linear programming & LP rounding
Official Paper
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- MCQ: Exactly 1 option is correct. Negative marking applies.
- Scientific calculator allowed for all calculations.
- Official answer key is sealed at the end of this sheet.
End Term · 31 Aug 2025 (FN)End Term
Read the passage below, then answer Q1
Answer the given subquestions.
Q1MCQ2 Marks·Choose one optionEvery linear program has a unique optimal solution.
- ATRUE
- BFALSE
End Term · 31 Aug 2025 (AN)End Term
Read the passage below, then answer Q2
Answer the given subquestions.
Q2MCQ2 Marks·Choose one optionEvery linear program has a unique optimal solution.
- ATRUE
- BFALSE
Read the passage below, then answer Q3–Q4
Based on the above data, answer the given subquestions.
Q3MCQ2 Marks·Choose one option
- AWe still get a valid solution, and the algorithm remains a 2-approximation.
- BWe still get a valid solution, and the algorithm becomes a 3-approximation.
- CWe may no longer get a valid solution.
- Q4MCQ2 Marks·Choose one option
- AWe still get a valid solution, and the algorithm remains a 2-approximation.
- BWe still get a valid solution, and the algorithm becomes a (3/2)-approximation.
- CWe may no longer get a valid solution.
Quiz 2 · 3 Aug 2025 (AN)Quiz 2
Read the passage below, then answer Q5–Q6
Based on the above data, answer the given subquestions.
Q5MCQ2 Marks·Choose one option
- AWe still get a valid solution, and the algorithm remains a 2-approximation.
- BWe still get a valid solution, and the algorithm becomes a 3-approximation.
- CWe may no longer get a valid solution.
- Q6MCQ2 Marks·Choose one option
- AWe still get a valid solution, and the algorithm remains a 2-approximation.
- BWe still get a valid solution, and the algorithm becomes a (3/2)-approximation.
- CWe may no longer get a valid solution.