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May 2021 term · Mathematics for Data Science I · BSMA1001

Maths 1 Quiz 1: 11 July 2021, Set POD21QZAQPA (May 2021 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 1 paper sat on 11 Jul 2021, in the May 2021 term, set POD21QZAQPA: 8 questions for 25 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
8
Marks
25
Duration
120 min
MCQ
3
Numerical
3
MSQ
2

Updated

Official paper: IIT M QUIZ EXAM POD21QZBQPB AN 11 July 2021 · No negative marking.

Question 1

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

  • B

Question 2

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

  • C

Question 3

+2 marksNumerical answer

NOTE: Enter your answer to the nearest integer.

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Correct answer: 2

Question 4

+3 marksOne or more correct options

Liala and Vinay both have to travel to various locations for advertising their company's products. The company reimburses their expenses such as accommodation, food etc. The company also sends a notification of warning whenever the expenditure in a given month exceeds ₹ 10,000. The accounts department fits the data of their monthly expenditure to the polynomials El(x)E_l(x) and Ev(x)E_v(x) (in ₹) respectively, where xx is the number of months since their joining in the company (i.e., x=1x = 1 represents the completion of one month). The polynomial fits are known to be applicable for a period of two years (i.e., x≤24x \leq 24). If El(x)−10,000=a(x−5.1)(x−11)(x−22)E_l(x) - 10,000 = a(x - 5.1)(x - 11)(x - 22), a>0a > 0 and Ev(x)−10,000=b(x−2)2(x−5.1)(x−22)E_v(x) - 10,000 = b(x - 2)^2(x - 5.1)(x - 22), b>0b > 0, then choose the correct option(s).

Select all that apply.

  1. A
  2. B
  3. C
  4. D
  5. E
  6. F
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Correct answers

  • B
  • C
  • F

Question 5

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

Correct answer

  • D

Question 6

+3 marksOne or more correct options

Select all that apply.

  1. A
  2. B
  3. C
  4. D
  5. E
  6. F
  7. G
Show answer

Correct answers

  • A
  • C

Question 7

+4 marksNumerical answer

NOTE: Enter your answer to the nearest integer.

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Correct answer: 3

Question 8

+5 marksNumerical answer
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Correct answer: 0.725 (accepted within ±0.025)