Sets
28 CDS Mathematics previous year questions (PYQs) from 11 papers, 2016 to 2026, with answers and worked solutions.
About this chapter
- Difficulty: 6 easy · 18 moderate · 4 hard.
- Most-asked subtopics: Venn Diagrams and Inclusion-Exclusion (20), Sets and Set Operations (8).
- Updated 20 September 2026.
#1Sets and Set Operations
#2Sets and Set Operations
#3Sets and Set Operations
#4Sets and Set Operations
#5Sets and Set Operations
Done a few? Here’s your next move
#6Sets and Set Operations
#7Sets and Set Operations
#8Sets and Set Operations
#9Venn Diagrams and Inclusion-Exclusion
#10Venn Diagrams and Inclusion-Exclusion
#11Venn Diagrams and Inclusion-Exclusion
#12Venn Diagrams and Inclusion-Exclusion
- Set · 4 questionsConsider the following for the next 04 (four) items that follow : In an examination of Class XII, 55% students passed in Biology, 62% passed in Physics, 60% passed in Chemistry, 25% passed in Physics and Biology, 30% passed in Physics and Chemistry, 28% passed in Biology and Chemistry. Only 2% failed in all the subjects.
#13Venn Diagrams and Inclusion-Exclusion
#14Venn Diagrams and Inclusion-Exclusion
#15Venn Diagrams and Inclusion-Exclusion
#16Venn Diagrams and Inclusion-Exclusion
- Set · 3 questionsConsider the following for the next three (03) items : In a certain town of population size 1,00,000 three types of newspapers (I, II and III) are available. The percentages of the people in the town who read these papers are as follows :
Newspaper Proportion of readers I 10% II 30% III 5% Both I and II 8% Both II and III 4% Both I and III 2% All the three (I, II and III) 1% #17Venn Diagrams and Inclusion-Exclusion
#18Venn Diagrams and Inclusion-Exclusion
#19Venn Diagrams and Inclusion-Exclusion
#20Venn Diagrams and Inclusion-Exclusion
- Set · 4 questionsDirection : Consider the following for the four (04) items that follow : 500 candidates appeared in an examination comprising tests in English, Hindi and Mathematics. 30 candidates failed in English only; 75 failed in Hindi only; 50 failed in Mathematics only; 15 failed in both English and Hindi; 17 failed in both Hindi and Mathematics; 17 failed in both Mathematics and English; 5 failed in all three tests.
#21Venn Diagrams and Inclusion-Exclusion
#22Venn Diagrams and Inclusion-Exclusion
#23Venn Diagrams and Inclusion-Exclusion
#24Venn Diagrams and Inclusion-Exclusion
#25Venn Diagrams and Inclusion-Exclusion
#26Venn Diagrams and Inclusion-Exclusion
#27Venn Diagrams and Inclusion-Exclusion
#28Venn Diagrams and Inclusion-Exclusion
More chapters in this subject
- Algebraic Identities and Simplification98
- Averages47
- Circles69
- Data Interpretation52
- Heights and Distances41
- Linear Equations40
- Lines, Angles and Polygons22
- Logarithms33
- Mensuration 2D197
- Mensuration 3D171
- Number System223
- Percentage, Profit and Loss50
- Polynomials79
- Quadratic Equations89
- Quadrilaterals54
- Ratio, Proportion and Variation76
- Sequence and Series19
- Simple and Compound Interest34
- Statistics80
- Surds, Indices and Simplification82
- Time and Work46
- Time, Speed and Distance75
- Triangles151
- Trigonometric Ratios and Identities227