Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Machine Learning Techniques
End Term · 31 Aug 2025 (Forenoon)
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- MCQ: Exactly 1 option is correct. Negative marking applies.
- MSQ: One or more options correct. Select all to score.
- NAT: Numerical response. No negative marking.
- Scientific calculator allowed for all calculations.
- Official answer key is sealed at the end of this sheet.
- Q1MCQ3 Marks·Choose one option

- APCA has reduced the dimensionality of the dataset because the combinations of features are de-correlated.
- BPCA has not reduced the dimensionality of the dataset because all principal components are retained.
- CPCA always reduces the dimensionality of the dataset regardless of the number of components retained.
- DPCA can never be used for dimensionality reduction.
- Q2MCQ3 Marks·Choose one option

- A

- B

- C

- D

- A
- Q3MCQ4 Marks·Choose one option

- A

- B

- C

- D

- A
- Q4MCQ2 Marks·Choose one option

- A40
- B60
- C100
- D1
- Q5MSQ3 Marks·Choose all correct options
Which among the following is TRUE for k-NN algorithm? Select all that apply.
- A1-nearest neighbour is sensitive to outliers.
- Bk-NN can only be applied to a classification problem.
- CAs k increases, the model is more likely to overfit.
- DThe bias increases with the increase in the value of k.
- EThe variance increases with the increase in the value of k.
- Q6MSQ3 Marks·Choose all correct options

- A30
- B120
- C50
- D160
- Q7MSQ3 Marks·Choose all correct options

- A

- B

- C

- D

- A
- Q8MSQ2 Marks·Choose all correct options
With respect to the Lloyd’s algorithm, choose the correct statements:
- AThe partition configurations cannot repeat themselves.
- BAfter doing the reassignments (consider at least one point reassigned to the new cluster), we might get the same means for all clusters.
- CObjective function after making the re-assignments strictly reduces.
- DObjective function after making the re-assignments strictly increases.
- Q9NAT3 Marks·Write the number
Your answer: - Q10NAT4 Marks·Write the number
Your answer: - Q11NAT4 Marks·Write the number
Your answer: Read the passage below, then answer Q12–Q13

Based on the above data, answer the given subquestions.
Q12MCQ4 Marks·Choose one option
- A

- B

- C

- D

- A
- Q13MCQ2 Marks·Choose one option

- AThe coefficients shrinks towards zero.
- BThe coefficients increases in magnitude.
- CThe coefficients remain unchanged.
Read the passage below, then answer Q14–Q15

Based on the above data, answer the given subquestions.
Q14NAT3 Marks·Write the numberWhat is the probability that a 60-year-old patient with a cholesterol level of 200 mg/dL has the disease? Enter the answer correct to two decimal places.
Your answer:- Q15NAT3 Marks·Write the number
How high should the cholesterol level be for the patient mentioned in the previous question to have a 50% chance of being diagnosed with the disease?
Your answer: Read the passage below, then answer Q16–Q17
Consider the datapoints (−2,−2) with label +1 and (2, 2) with label −1. A hard margin SVM is applied on this dataset. Answer the given subquestions:
Q16MCQ2 Marks·Choose one optionWhich of the following is the decision boundary for the given dataset?
- A

- B

- C

- D

- A
- Q17NAT2 Marks·Write the number
Your answer: