Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
BSMA1001 · Mathematics for Data Science I
Sets & Venn diagram counting
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- NAT: Numerical response. No negative marking.
- Scientific calculator allowed for all calculations.
- Official answer key is sealed at the end of this sheet.
Quiz 1 · 26 Oct 2025 (AN)Quiz 1
Useful Reference Data for this Paper
Q1NAT4 Marks·Write the numberIn an online degree program, it was found that in one term, 72 students took Mathematics, 85 students took Statistics, and 30 students took both Mathematics and Statistics. How many students took only one of the two subjects?
Your answer:
Qualifier · May 2024Qualifier
- Q2NAT4 Marks·Write the number
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.
Your answer:
Qualifier · January 2024Qualifier
Read the passage below, then answer Q3–Q4
In a grocery store, 60 customers made a purchase on a specific day. 28 people bought bread, 37 people bought milk and 30 people bought fruits. All the customers bought at least one of the three items. 16 of them bought bread and fruits, 17 of them bought bread and milk and 9 of them bought all the three items.
Q3NAT2 Marks·Write the numberFind the number of customers who bought milk and fruits.
Your answer:- Q4NAT2 Marks·Write the number
Find the number of customers who bought milk and fruits but not bread.
Your answer:
Qualifier · September 2023Qualifier
Read the passage below, then answer Q5–Q6
In a survey among 140 people, it was found that 75% of these 140 people like playing cricket and 50% of all the 140 people like playing football. Note that, some people may not like both games that could be 0 also.
Use this information to answer the given subquestions
Q5NAT4 Marks·Write the numberWhat is the minimum number of people who like both games?
Your answer:- Q6NAT2 Marks·Write the number
If there are 10 people who don’t like both games, then what is the number of people who like only cricket?
Your answer:
Qualifier · May 2023Qualifier
- Q7NAT5 Marks·Write the number
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.
Your answer:
Qualifier · January 2023Qualifier
- Q8NAT4 Marks·Write the number
The Cartesian product A × A has 9 elements. Two of the elements of the Cartesian product are (2, 0) and (0, 8). Find the sum of all the elements in set A.
Your answer: - Q9NAT5 Marks·Write the number
In a survey among 250 students in Nilgiri house of IITM BSc degree, the following data were found: • 100 students have a Hotstar subscription • 110 students have Netflix subscription • 120 students have Amazon Prime membership. • 30 students have both Hotstar and Netflix subscriptions whereas 30 students have both Hotstar and Amazon Prime and 40 students subscribe to both Netflix and Amazon Prime. Assuming that all students have at least one OTT subscription, determine how many students have memberships to all 3 OTT: Hotstar, Netflix and Amazon Prime?
Your answer: