Question 1
R is neither reflexive, nor symmetric and nor transitive.
R is an anti-symmetric relation.
R is an identity relation.
R is an equivalence relation.
The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 1 paper sat on 5 Jun 2022, in the May 2022 term: 16 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.
R is neither reflexive, nor symmetric and nor transitive.
R is an anti-symmetric relation.
R is an identity relation.
R is an equivalence relation.
Correct answers
R is neither reflexive, nor symmetric and nor transitive.
R is an anti-symmetric relation.
Correct answers
In a survey of 500 people, it was found that 49% liked to watch comedy movies, 53% liked thriller movies, and 62% liked romantic movies. Also, 27% liked to watch both comedy and thriller, 29% liked to watch both thriller and romantic, and 28% liked watching both comedy and romantic. 5% liked none of the above genres. Based on this information, answer the given sub-questions.
How many people like all the three movies?
NOTE: Enter your answer to the nearest integer.
Correct answer: 75
In a survey of 500 people, it was found that 49% liked to watch comedy movies, 53% liked thriller movies, and 62% liked romantic movies. Also, 27% liked to watch both comedy and thriller, 29% liked to watch both thriller and romantic, and 28% liked watching both comedy and romantic. 5% liked none of the above genres. Based on this information, answer the given sub-questions.
Find the number of people who like only one of the three genres.
NOTE: Enter your answer to the nearest integer.
Correct answer: 205
In a survey of 500 people, it was found that 49% liked to watch comedy movies, 53% liked thriller movies, and 62% liked romantic movies. Also, 27% liked to watch both comedy and thriller, 29% liked to watch both thriller and romantic, and 28% liked watching both comedy and romantic. 5% liked none of the above genres. Based on this information, answer the given sub-questions.
Find the number of people who like at least two of the given genres.
NOTE: Enter your answer to the nearest integer.
Correct answer: 270
Enter the x−coordinate of the vertex of q(x).
NOTE: Enter your answer to the nearest integer.
Correct answer: 5
Enter the y−coordinate of the vertex of q(x).
NOTE: Enter your answer to the nearest integer.
Correct answer: -18
Enter the value of a.
NOTE: Enter your answer to the nearest integer.
Correct answer: -2
Choose the set of correct option(s)
Correct answers
In total how many places can they meet?
NOTE: Enter your answer to the nearest integer.
Correct answer: 5
Sonia and Henna want to solve a quadratic equation. Sonia made a mistake in writing down the constant term and ended up in roots 3 and 4. Henna made a mistake in writing down the coefficient of x and got the roots 2 and 3. Consider the leading coefficient to be 1 in all cases. The correct roots of the equation are:
1 and 6
2 and 6
1 and 4
2 and 4
Correct answer
1 and 6
NOTE: Enter your answer to the nearest integer.
Correct answer: 5
Correct answers
Choose the correct option(s) from the following.
Correct answers
The equation of the diagonal that does not pass through the origin is
Correct answers
NOTE: Enter your answer to the nearest integer.
Correct answer: 7