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September 2024 term · Mathematics for Data Science I · BSMA1001

Mathematics for Data Science I Quiz 1: 27 October 2024 (September 2024 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 1 paper sat on 27 Oct 2024, in the September 2024 term: 12 questions for 50 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
12
Marks
50
Duration
120 min
MCQ
3
MSQ
2
Numerical
7

Updated

Official paper: IIT M FOUNDATION AN EXAM QDF2 27 Oct 2024 · No negative marking.

Question 1

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

Correct answer

  • B

Question 2

+4 marksOne correct option
  1. A

    Figure 1

  2. B

    Figure 2

  3. C

    Figure 3

  4. D

    Figure 4

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Correct answer

  • C

    Figure 3

Question 3

+5 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A

Question 4

+5 marksOne or more correct options

Select all that apply.

  1. A

    (6, 14) is an element in R2.

  2. B

    R2 is not symmetric.

  3. C

    R1 is transitive.

  4. D

    R2 is reflexive.

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Correct answers

  • B

    R2 is not symmetric.

  • C

    R1 is transitive.

Question 5

+5 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
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Correct answers

  • A
  • C
  • D

Question 6

+4 marksNumerical answer

In a college of 500 students, 285 took Mathematics, 195 took Statistics, 115 took English, 70 took Mathematics and Statistics, 45 took Mathematics and English, 50 took Statistics and English, and 10 took all three courses. What is the total number of students who took none of these three subjects?

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Correct answer: 60

Question 7

+5 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=4x+1y = 4x + 1. What will be the value of SSE with respect to the best-fit line?

Table: 1

Amount paid (in currency units)Distance (in Km)
8020
6015
6016
10025
5814
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Correct answer: 29

Question 8

+5 marksNumerical answer
Show answer

Correct answer: -9

Question 9

+3 marksNumerical answer

R1

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Correct answer: 10

Question 10

+3 marksNumerical answer

R1 \ R2

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Correct answer: 8

Question 11

+3 marksNumerical answer
Show answer

Correct answer: 16

Question 12

+4 marksNumerical answer
Show answer

Correct answer: 3