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May 2025 term · Mathematics for Data Science I · BSMA1001

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.

Questions
16
Marks
50
Duration
180 min
MCQ
3
MSQ
5
Numerical
8

Updated

Official paper: IIT M DEGREE FN EXAM QDB1 31 Aug 2025 · No negative marking.

Question 1

+2 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • D

Question 2

+4 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B

Question 3

+4 marksOne correct option

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?

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A

Question 4

+3 marksOne or more correct options

Which of the following functions have graphs as in Figure 2?

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • D

Question 5

+3 marksOne or more correct options

Which of the following options is/are true?

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • C

Question 6

+3 marksOne or more correct options

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?

Select all that apply.

  1. A

    (T, V)

  2. B

    (U, R)

  3. C

    (P, U)

  4. D

    (W, P)

Show answer

Correct answers

  • C

    (P, U)

  • D

    (W, P)

Question 7

+1 markNumerical answer
Show answer

Correct answer: 3

Question 8

+3 marksNumerical answer
Show answer

Correct answer: 2

Question 9

+3 marksNumerical answer

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 yy as the amount paid and xx 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 y=10x+11y = 10x + 11. 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)
21020
16015
17216
26525
15014
Show answer

Correct answer: 20

Question 10

+3 marksNumerical answer
Show answer

Correct answer: 20.08 (accepted within ±0.5)

Question 11

+4 marksNumerical answer
Show answer

Correct answer: 3

Question 12

+4 marksNumerical answer
Show answer

Correct answer: 13

Question 13

+3 marksOne or more correct options

Choose the set of correct options.

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • B

Question 14

+3 marksNumerical answer
Show answer

Correct answer: 11

Question 15

+4 marksOne or more correct options

Consider the function,

Answer the given subquestions.

Which of the following options is (are) correct?

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • C
  • D

Question 16

+3 marksNumerical answer

Consider the function,

Answer the given subquestions.

Show answer

Correct answer: 7.8 (accepted within ±0.1)