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May 2021 term · Mathematics for Data Science II · BSMA1003

Maths 2 Quiz 1: 11 July 2021, Set POD21QZAQPB (May 2021 term)

The IIT Madras BS Mathematics for Data Science II (Maths 2) Quiz 1 paper sat on 11 Jul 2021, in the May 2021 term, set POD21QZAQPB: 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
6
Numerical
1
MSQ
1
Take as mock testPractise with answers

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
Show answer

Correct answer

  • B
Question 1 on its own page

Question 2

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

Correct answer

  • D
Question 2 on its own page

Question 3

+3 marksNumerical answer

Find the estimated area of the region bounded by the graph of the function f(x) = x² + x + 1, above the interval [0,3] using Riemann sums by taking 3 subintervals of equal length and the left end points of the subintervals for the height of the rectangles.
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 11

Question 3 on its own page

Question 4

+3 marksOne correct option

The profit of Company A with respect to time (in months) is given by the function f(t) (in lakhs) as follows:

for some integer n > 0.
The profit of Company B with respect to time (in months) is given by the function g(t) (in lakhs) as follows:

for some integer m.
Use the given information and answer the subquestions.

If the functions f(t) and g(t) denoting the profits of Company A and Company B, respectively, are known to be continuous at t = 3, then what will be the values of n and m?

  1. A

    n = 2, and m = 4

  2. B

    n = 4, and m = 1

  3. C

    n = 3, and m = 2

  4. D

    n = 4, and m = 2

Show answer

Correct answer

  • D

    n = 4, and m = 2

Question 4 on its own page

Question 5

+3 marksOne correct option

The profit of Company A with respect to time (in months) is given by the function f(t) (in lakhs) as follows:

for some integer n > 0.
The profit of Company B with respect to time (in months) is given by the function g(t) (in lakhs) as follows:

for some integer m.
Use the given information and answer the subquestions.

Which of the following linear functions denotes the best linear approximation Lg(t) of the function g(t) at the point t = 4, assuming g to be continuous at t = 3?

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

Correct answer

  • A
Question 5 on its own page

Question 6

+3 marksOne correct option

Choose the set of correct statements.

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

Correct answer

  • C
Question 6 on its own page

Question 7

+4 marksOne or more correct options

Choose the set of correct statements.

Select all that apply.

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

Correct answers

  • B
  • C
Question 7 on its own page

Question 8

+5 marksOne correct option

Choose the correct statement

  1. A

    Store A was less active than Store B in the given time interval.

  2. B

    The area under the curve represented by g, bounded by the positive X axis is 198 square units.

  3. C

    The area under the curve represented by f, bounded by the positive X axis is 218 square units.

  4. D

    Both Store A and Store B have same amount of activity in the given time interval.

Show answer

Correct answer

  • A

    Store A was less active than Store B in the given time interval.

Question 8 on its own page