Figure from the original question paper

(A) Option figure from the original question paper

(B) Option figure from the original question paper

(C) Option figure from the original question paper

(D) Option figure from the original question paper

Question text with a graph of a function f(x) marked at (-2,0), (3,0), (6,0)

(A) Option figure from the original question paper

(C) Option figure from the original question paper

(B) Option figure from the original question paper

(D) Option figure from the original question paper

Question text with Figure 3 showing graphs of f(x), g(x) (A) and p(x), q(x) (B)

(A) g(x) may be the inverse of f(x).

(B) p(x) and q(x) are even functions but f(x) and g(x) are neither even functions nor odd functions.

(C) q(x) could not be the inverse function of p(x).

(D) p(x), q(x) can be an even degree polynomial functions and f(x) can be an odd degree polynomial functions.

September 2021 term · Mathematics for Data Science I · BSMA1001

Maths 1 Quiz 2: 31 October 2021, Set QPA (September 2021 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 2 paper sat on 31 Oct 2021, in the September 2021 term, set QPA: 19 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: 19
Marks: 50
Duration: 120 min
MSQ: 9
Written: 5
Numerical: 5

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M QUIZ FOUNDATION EXAM QPB 31 OCT 2021 350 · No negative marking.

Question 1

+5 marksOne or more correct options

Select all that apply.

Show answer

Correct answers

Question 1 on its own page

Question 2

+5 marksOne or more correct options

Choose the correct options from the following

Select all that apply.

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Correct answers

Question 2 on its own page

Question 3

+5 marksOne or more correct options

Select all that apply.

Show answer

Correct answers

Question 3 on its own page

Question 4

+5 marksOne or more correct options

Select all that apply.

A
g(x) may be the inverse of f(x).
B
p(x) and q(x) are even functions but f(x) and g(x) are neither even functions nor odd functions.
C
q(x) could not be the inverse function of p(x).
D
p(x), q(x) can be an even degree polynomial functions and f(x) can be an odd degree polynomial functions.

Show answer

Correct answers

A
g(x) may be the inverse of f(x).
B
p(x) and q(x) are even functions but f(x) and g(x) are neither even functions nor odd functions.
C
q(x) could not be the inverse function of p(x).
D
p(x), q(x) can be an even degree polynomial functions and f(x) can be an odd degree polynomial functions.

Question 4 on its own page

Question 5

+5 marksWritten answer

A function $f(x)$ , fit for the data given in the Table-1 recorded by a student, is

$y = f(x) = 10^{x^2(x^2-1)(x^2-9)(x^2+1)} - 3 - \log_{10}(c - 1)$

What will be the value of $c$ , so that SSE (Sum Squared Error) will be minimum?

$x$	$-3$	$-1$	$0$	$1$	$3$
$y$	$-4$	$-4$	$-4$	$-4$	$-4$

Table-1

NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 101 or Question Numbers : (8 to 10) or Question Label : Comprehension or Sub questions

Question 5 on its own page

Question 6

+2 marksOne or more correct options

Which of the following statements is (are) correct?

Select all that apply.

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Correct answers

Question 6 on its own page

Question 7

+1 markOne or more correct options

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Correct answers

Question 7 on its own page

Question 8

+2 marksWritten answer

How many such food locations are there?
NOTE: Enter your answer to the nearest integer.

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Correct answer: 2 or Question Numbers : (11 to 12) or Question Label : Comprehension or Sub questions

Question 8 on its own page

Question 9

+2 marksOne or more correct options

Which of the following statements is (are) correct?

Select all that apply.

A
Total cost of plan A will be 450.
B
Total cost of plan B will be 450.
C
Total cost of plan B will be 550.
D
Total cost of plan A will be 650.

Show answer

Correct answers

A
Total cost of plan A will be 450.
B
Total cost of plan B will be 450.

Question 9 on its own page

Question 10

+1 markWritten answer

NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 0 or Question Numbers : (13 to 15) or Question Label : Comprehension or Sub questions

Question 10 on its own page

Question 11

+2 marksOne or more correct options

Which of the following statements is (are) correct?

Select all that apply.

A
The equation f(x) = g(x) has only one real root.
B
The equation f(x) = g(x) has two real roots.
C
y = 3*^(ax)* must pass through the intersection point of f(x) and g(x) to protect the life form on Earth.
D
The equation f(x) = g(x) has three real roots.

Show answer

Correct answers

A
The equation f(x) = g(x) has only one real root.
C
y = 3*^(ax)* must pass through the intersection point of f(x) and g(x) to protect the life form on Earth.

Question 11 on its own page

Question 12

+2 marksNumerical answer

NOTE: Enter your answer in two decimal places.

Show answer

Correct answer: -0.25

Question 12 on its own page

Question 13

+2 marksWritten answer

What will be the value of a.
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: -4 or Question Numbers : (16 to 19) or Question Label : Comprehension or Based on the above data, answer the given subquestions. or Sub questions

Question 13 on its own pageAlso asked in Quiz 2 31 Oct 2021

Question 14

+1 markNumerical answer

What will be the value of a.
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 20

Question 14 on its own pageAlso asked in Quiz 2 31 Oct 2021

Question 15

+2 marksOne or more correct options

Which of the following statements is (are) correct?

Select all that apply.

A
b can be found using f(36) = g(36)
B
b cannot be determined.
C
By the end of 36^(th) day, there are roughly 20 leaves.
D
By the end of 36^(th) day, there are roughly 30 leaves.

Show answer

Correct answers

A
b can be found using f(36) = g(36)
C
By the end of 36^(th) day, there are roughly 20 leaves.

Question 15 on its own pageAlso asked in Quiz 2 31 Oct 2021

Question 16

+1 markNumerical answer

What will be the value of b.
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 12

Question 16 on its own pageAlso asked in Quiz 2 31 Oct 2021

Question 17

+2 marksWritten answer

NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 2 or Question Numbers : (20 to 21) or Question Label : Comprehension or Based on the above data, answer the given subquestions. or Sub questions

Question 17 on its own page

Question 18

+2 marksNumerical answer

What is the radius of the circle after 10 seconds?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 1

Question 18 on its own page

Question 19

+3 marksNumerical answer

NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 1

Question 19 on its own page