Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Algorithmic Thinking in Bioinformatics
Phylogenetic trees
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.
End Term · 31 Aug 2025 (FN)End Term
Read the passage below, then answer Q1–Q3
You are asked to construct a phylogeny on the distance matrix D using the Additive Phylogeny algorithm. At the end of the 5th iteration, you notice the D^(bald) matrix consumes 81 units of memory space. Assume every entry in a matrix requires 1 unit of space. Also assume the count of the iterations starts from 1. Answer the given subquestions with respect to the same.
Q1NAT2 Marks·Write the numberHow many units of space is required to the corresponding D^(trimmed) matrix? Enter the answer as a single integer.
Your answer:- Q2NAT2 Marks·Write the number
How many leaves will be there in the final phylogeny constructed at the end of the algorithm? Enter the answer as a single integer.
Your answer: - Q3NAT1 Mark·Write the number
Read the pseudocode carefully and calculate the number of iterations required by the UPGMA algorithm to construct the Ultrametric tree on D? Enter the answer as a single integer.Your answer:
Quiz 2 · 3 Aug 2025 (AN)Quiz 2
- Q4MSQ3 Marks·Choose all correct options
Which of the following statements about additive distance matrices are true?
- AEvery 3 x 3 distance matrix is additive.
- BEvery 4 x 4 distance matrix is additive.
- CThere exists a 3 x 3 distance matrix that is not additive.
- DThere exists a 4 x 4 distance matrix that is not additive.
- EFor every additive distance matrix, there exists a simple tree fitting the matrix.
- Q5NAT4 Marks·Write the number
Your answer: Read the passage below, then answer Q6–Q7
Q6MCQ5 Marks·Choose one option
- A

- B

- C

- D

- A
- Q7MCQ4 Marks·Choose one option
Which of the following represents the distance matrix for the next iteration?
- A

- B

- C

- D

- A