Two sets: union, both and neither 5 PYQs

• In a survey of 100 people, 60 like tea, 50 like coffee, and 25 like both tea and coffee. How many people like neither tea nor coffee?UP Police Constable 2026 · 10 Jun 2026
• If A and B are two sets where the number of elements in set A is 28, the number of elements in set B is 35, and the number of elements common to…UP Police Constable 2026 · 09 Jun 2026
• Based on a survey of 200 students, 140 students like cold drinks, 120 students like milkshakes, and 80 students like both. How many students like at…UP Police Constable 2024 · 25 Aug 2024
• If A and B are two sets such that number of elements in A is 20, number of elements in B is 18 and number of elements in both A and B is 10, find…UP Police Constable 2024 · 25 Aug 2024
• In a class of 40 students, 15 students play cricket and 15 students play tennis, and 5 students play both the games. Then the number of students who…UP Police Constable 2024 · 23 Aug 2024

Two sets: only A, only B and exactly one 3 PYQs

• In a class of 80 students, 45 play cricket, 35 play football, and 15 play both cricket and football. How many students play only cricket?UP Police Constable 2026 · 08 Jun 2026
• In a survey of 1000 people, 600 have visited Delhi, 450 have visited Mumbai and 250 have visited both cities. What is the ratio of people who…UP Police Constable 2026 · 10 Jun 2026
• In a club of 300 members, 160 like swimming, 140 like cycling and 60 like both. What fraction of the total members like exactly one activity?UP Police Constable 2026 · 08 Jun 2026

Set basics: elements, subsets and number sets 8 PYQs

• Rational numbers are a subset of:SSC Selection Post 2025 · 25 Jul 2025
• A number that is both an integer and a whole number is:SSC CGL 2025 · 20 Sep 2025
• Which number is in both the natural and integer sets?SSC CHSL 2025 · 15 Nov 2025
• Which of these number sets is NOT a subset of the Real Numbers?SSC CHSL 2025 · 30 Nov 2025
• Which of these number sets is NOT a subset of real numbers?SSC CPO 2025 · 11 Dec 2025
• Which of the following sets is a proper subset of rational numbers?SSC Selection Post 2025 · 24 Jul 2025
• The union of rational and irrational numbers is equal to:SSC CPO 2025 · 10 Dec 2025
• Which of the following is both rational and an integer?SSC Selection Post 2025 · 26 Jul 2025

Percentage surveys and pass–fail questions 2 PYQs

• In a class of 150 students, 70 students passed in Mathematics, 60 students passed in Chemistry and 20 students passed in both Mathematics and…UP Police Constable 2024 · 31 Aug 2024
• In a village, 60% of families have a cow, 30% of families have a buffalo and each of the 15% of families has both a cow and a buffalo. In all, there…UP Police Constable 2024 · 31 Aug 2024

Two-set stories with an unknown 2 PYQs

• In a class of 40 students, 20 have chosen only Biology and 15 have chosen Mathematics, but not Biology. Given that every student has chosen either…UP Police Constable 2024 · 24 Aug 2024
• The table gives the number of people in each region of a Venn diagram of people who bought ice-cream and drinks in a theatre. Ice-cream is sold for…UP Police Constable 2024 · 30 Aug 2024

Three sets: only, exactly two and at least two 2 PYQs

• In a survey, it was discovered that 21 individuals read English newspapers, 26 individuals read Hindi newspapers, and 29 individuals read regional…UP Police Constable 2024 · 25 Aug 2024
• In a survey of 140 students, 60 students like to play video games, 70 students like to play indoor games, and 75 students like to play outdoor…UP Police Constable 2024 · 23 Aug 2024