Consider the following polynomial p(x) whose graph is given below:- Graph of a polynomial f on the interval from -3 to 3 Which of the following options is/are correct?

(B) Option figure from the original question paper

(C) Option figure from the original question paper

(A) Option figure from the original question paper

(D) Option figure from the original question paper

Figure from the original question paper

(B) q(x) is a quadratic polynomial.

(C) q(x) has two distinct zeros.

(A) q(x) is a cubic polynomial.

(D) q(x) does not have any real zeros.

Figure from the original question paper

(A) If b² − 4ac > 0 and a perfect square then there exists a rational root of the quadratic equation.

(B) If b² − 4ac > 0 and not a perfect square then there exists a rational root of the quadratic equation.

(C) If b² − 4ac \< 0 and a perfect square then there exists a rational root of the quadratic equation.

(D) If b² − 4ac \< 0 and not a perfect square then there exists a rational root of the quadratic equation.

May 2024 term · Mathematics for Data Science I · BSMA1001

Mathematics for Data Science I Quiz 1: 7 July 2024 (May 2024 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 1 paper sat on 7 Jul 2024, in the May 2024 term: 11 questions for 40 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: 11
Marks: 40
Duration: 120 min
Numerical: 4
MSQ: 4
MCQ: 3

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M FOUNDATION AN EXAM QDF2 7 July 2024 · No negative marking.

Question 1

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 1

Question 1 on its own page

Question 2

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

What is the cardinality of R1?

Show answer

Correct answer: 9

Question 2 on its own page

Question 3

+3 marksOne or more correct options

Based on the above data, answer the given subquestions.

Which of the following statements are correct?

Select all that apply.

A
R1 is transitive.
B
R2 is transitive.
C
R2 is not symmetric.
D
(2,18) is an element in R2.

Show answer

Correct answers

A
R1 is transitive.
C
R2 is not symmetric.
D
(2,18) is an element in R2.

Question 3 on its own page

Question 4

+4 marksOne correct option

Suppose that P1 and P2 are two different points in a Cartesian coordinate system, with P1 located at (3,−2) and P2 at (−1, 5). Let L1 and L2 be lines passing through P1 and P2 respectively. Based on the above data, answer the given subquestions.

Show answer

Correct answer

Question 4 on its own page

Question 5

+4 marksOne correct option

If the x−intercept of the line L1 is 1 and y− intercept of the line L2 is -1 and If θ is the angle between L1 and L2, then tan θ is equal to

Show answer

Correct answer

Question 5 on its own page

Question 6

+4 marksNumerical answer

A company opened recruitment for the post of data analyst. 500 candidates have applied for the post. 285 candidates are proficient in Python programming, 195 candidates are proficient in C programming, 115 candidates are proficient in Java programming, 45 candidates are proficient in Python and Java, 70 candidates are proficient in C and Python, 50 candidates are proficient in C and Java and 50 candidates don’t know any of the programming languages. Find the number of candidates who are proficient in exactly one of the three programming languages.

Show answer

Correct answer: 325

Question 6 on its own pageAlso asked in Quiz 1 16 Jul 2023, Qualifier 13 Apr 2025

Question 7

+4 marksNumerical answer

Radhika has been tracking her monthly expenses and the corresponding number of outings she has with friends. Here's a table with two rows representing the amount spent on entertainment and the corresponding number of outings. Let's consider $y$ to be the amount spent and $x$ to be the corresponding number of outings. She fitted a best fit line to her data and obtained the equation $y = 4x + 15$ . What is the value of SSE (Sum of Squared Errors) in relation to the best fit line?

Amount spent	37	44	53	50	57	64
Number of outings	5	7	9	8	10	12

Show answer

Correct answer: 23

Question 7 on its own page

Question 8

+4 marksOne or more correct options

Consider the following polynomial p(x) whose graph is given below:-

Which of the following options is/are correct?

Select all that apply.

Show answer

Correct answers

Question 8 on its own page

Question 9

+4 marksOne or more correct options

Consider the parabola y = x² + 4x + 12. Which of the following option(s) are true?

Select all that apply.

A
The co-ordinates of vertex is (−8, 2).
B
The given equation attains it minima at x = −2.
C
y-intercept of parabola is 12.
D
The minimum value for the given equation is 8

Show answer

Correct answers

B
The given equation attains it minima at x = −2.
C
y-intercept of parabola is 12.
D
The minimum value for the given equation is 8

Question 9 on its own page

Question 10

+4 marksOne or more correct options

Select all that apply.

A
q(x) is a cubic polynomial.
B
q(x) is a quadratic polynomial.
C
q(x) has two distinct zeros.
D
q(x) does not have any real zeros.

Show answer

Correct answers

B
q(x) is a quadratic polynomial.
C
q(x) has two distinct zeros.

Question 10 on its own page

Question 11

+4 marksOne correct option

A
If b² − 4ac > 0 and a perfect square then there exists a rational root of the quadratic equation.
B
If b² − 4ac > 0 and not a perfect square then there exists a rational root of the quadratic equation.
C
If b² − 4ac < 0 and a perfect square then there exists a rational root of the quadratic equation.
D
If b² − 4ac < 0 and not a perfect square then there exists a rational root of the quadratic equation.

Show answer

Correct answer

A
If b² − 4ac > 0 and a perfect square then there exists a rational root of the quadratic equation.

Question 11 on its own page