
Mathematics for Data Science I End Term: 31 August 2025 (May 2025 term)
The IIT Madras BS Mathematics for Data Science I (Maths 1) End Term paper sat on 31 Aug 2025, in the May 2025 term: 16 questions for 50 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
- 16
- 50
- 180 min
- 3
- 5
- 8
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Question 2
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Question 3
Suppose Dijkstra’s algorithm is run on the graph below, starting at node A. In what order do the shortest distances to the other vertices get finalized?
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Question 4
Which of the following functions have graphs as in Figure 2?
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Question 5
Which of the following options is/are true?
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Question 6
The following tree is the BFS tree rooted at node P of an undirected graph :
Which of the following edges cannot exist in the original graph?
(T, V)
(U, R)
(P, U)
(W, P)
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(P, U)
(W, P)
Question 7
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Correct answer: 3
Question 8
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Correct answer: 2
Question 9
You have been closely monitoring your bike's mileage recently. Here is a table showing two rows representing the amount paid for fuel (in currency units) and the corresponding mileage (in Km). Consider as the amount paid and as the corresponding mileage in Km. You noted the distance travelled each time the fuel meter falls back to a fixed reference mark and predicted that the best-fit line equation is . What will be the value of SSE (Sum of Squared Errors) with respect to the best-fit line?
Table: 1
| Amount paid (in currency units) | Distance (in Km) |
|---|---|
| 210 | 20 |
| 160 | 15 |
| 172 | 16 |
| 265 | 25 |
| 150 | 14 |
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Correct answer: 20
Question 10
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Correct answer: 20.08 (accepted within ±0.5)
Question 11
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Correct answer: 3
Question 12
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Correct answer: 13
Question 13
Choose the set of correct options.
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Question 14
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Correct answer: 11
Question 15
Consider the function,
Answer the given subquestions.
Which of the following options is (are) correct?
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Question 16
Consider the function,
Answer the given subquestions.
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Correct answer: 7.8 (accepted within ±0.1)