Figure from the passage in the original paper Choose the set of correct option(s)

(A) The axis of symmetry of p(x) is x = −3.

(C) The slope of p(x) is 6 but the slope q(x) is -6 at (0,−27).

(D) The discriminant of both the quadratic equations p(x) = 0 and q(x) = 0 are same.

(B) The slopes of both p(x) and q(x) are same at (0,−27).

Figure from the original question paper

(B) R2 represents a relation but not a function.

(A) R1 ∩ R2 represents an injective function

Figure from the original question paper

(A) The degree of p(x) is at least 10.

(B) p(x) represent an even degree polynomial

(D) Multiplicities of zero and one of the negative root could be the same

(C) Total number of turning point of p(x) are 8.

September 2022 term · Mathematics for Data Science I · BSMA1001

Maths 1 Quiz 1: 16 October 2022, Set QPC3 (September 2022 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 1 paper sat on 16 Oct 2022, in the September 2022 term, set QPC3: 14 questions for 42 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: 14
Marks: 42
Duration: 120 min
Numerical: 7
MSQ: 5
MCQ: 2

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M QUIZ 1 FOUNDATION DIPLOMA QPC3 16 Oct 2022 · No negative marking.

Question 1

+2 marksNumerical answer

Enter the value of a + b + c?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: -3

Question 1 on its own page

Question 2

+2 marksNumerical answer

Enter the value of d?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: -36

Question 2 on its own page

Question 3

+3 marksOne or more correct options

Choose the set of correct option(s)

Select all that apply.

A
The axis of symmetry of p(x) is x = −3.
B
The slopes of both p(x) and q(x) are same at (0,−27).
C
The slope of p(x) is 6 but the slope q(x) is -6 at (0,−27).
D
The discriminant of both the quadratic equations p(x) = 0 and q(x) = 0 are same.

Show answer

Correct answers

A
The axis of symmetry of p(x) is x = −3.
C
The slope of p(x) is 6 but the slope q(x) is -6 at (0,−27).
D
The discriminant of both the quadratic equations p(x) = 0 and q(x) = 0 are same.

Question 3 on its own page

Question 4

+2 marksNumerical answer

How many times did Ritwik score exactly 40?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 2

Question 4 on its own page

Question 5

+3 marksNumerical answer

In total, how many mock tests did Ritwik pass?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 6

Question 5 on its own page

Question 6

+2 marksOne correct option

State ’True’ or ’False’ : R6 does not match with any type of relations given in Column B.

A
TRUE
B
FALSE

Show answer

Correct answer

A
TRUE

Question 6 on its own page

Question 7

+2 marksOne correct option

State ’True’ or ’False’ : R1 matches with all type of relations except anti-symmetric relation given in Column B.

A
TRUE
B
FALSE

Show answer

Correct answer

B
FALSE

Question 7 on its own page

Question 8

+3 marksNumerical answer

In total, how many relations given in Column A matches with transitive relation?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 5

Question 8 on its own page

Question 9

+2 marksNumerical answer

In total, how many relations given in Column A matches with reflexive relation?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 2

Question 9 on its own page

Question 10

+5 marksOne or more correct options

Select all that apply.

A
R1 ∩ R2 represents an injective function
B
R2 represents a relation but not a function.
C
R1 represents a function.
D
R2 represents a function

Show answer

Correct answers

B
R2 represents a relation but not a function.
C
R1 represents a function.

Question 10 on its own page

Question 11

+5 marksOne or more correct options

Select all that apply.

A
The degree of p(x) is at least 10.
B
p(x) represent an even degree polynomial
C
Total number of turning point of p(x) are 8.
D
Multiplicities of zero and one of the negative root could be the same

Show answer

Correct answers

A
The degree of p(x) is at least 10.
B
p(x) represent an even degree polynomial
D
Multiplicities of zero and one of the negative root could be the same

Question 11 on its own page

Question 12

+5 marksNumerical answer

NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 4

Question 12 on its own page

Question 13

+3 marksOne or more correct options

Select all that apply.

A
(3/2, 1/2)
B
(1/3, 2/3)
C
(2/3, 2/3)
D
(4/3, 4/3)

Show answer

Correct answer

D
(4/3, 4/3)

Question 13 on its own page

Question 14

+3 marksOne or more correct options

Select all that apply.

A
9
B
14
C
0
D
-2

Show answer

Correct answer

B
14

Question 14 on its own page