All 31 Venn Diagrams questions the Punjab PSC asked between 2016 and 2025, each with a worked answer and the exam it came from. First 10 free to read.
4 of these 31 were set in more than one exam — the Commission reuses this topic, which is the argument for working through it rather than skimming it.
Free to read, with the worked answer and the exam each one came from. The book prints this topic in the order the Commission favours, so these are the ones to know first.
Study the information given below and answer the questions that follow: A publishing firm publishes newspapers A, B and C. In an effort to persuade advertisers to insert advertisements in these newspapers, the firm sends out the following statements to possible advertisers : A survey of representative sample of the whole population shows that- Newspaper A is read by 26%; Newspaper B is read by 25%; Newspaper C is read by 14%; Newspapers A and B are read by 11%; Newspapers B and C are read by 10%; Newspapers C and A are read by 9%; Newspaper C only is read by 0 %;
Since every candidate took at least one subject, Physics ∪ Mathematics = 100%. Both = 65.8% + 59.2% − 100% = 25% of 2000 = 500. > both = 65.8 + 59.2 − 100 = 25% > 25% × 2000 = 500.
3 of the 15 read neither language, so 12 read at least one. By the inclusion–exclusion rule n(F ∪ E) = n(F) + n(E) − n(F ∩ E). > 12 = 7 + 8 − x > x = 15 − 12 = 3 (here 15 is 7 + 8, not the group size) So 3 people read both French and English.
First find the all-three share from newspaper C: 14 = 0 + (9 − x) + (10 − x) + x gives x = 5%. Then apply inclusion–exclusion. > A ∪ B ∪ C = 26 + 25 + 14 − 11 − 10 − 9 + 5 > = 40 So 40% read at least one of the three papers, and 60% read none.
The clue is that nobody reads Newspaper C alone. > C only = 14 − (B and C) − (C and A) + (all three) > 0 = 14 − 10 − 9 + x → x = 5 So 5% read all three newspapers.
Nobody reads C alone. That fixes the triple overlap. > C only = 14 − 10 − 9 + (A∩B∩C) = 0 → A∩B∩C = 5 > A and B but not C = 11 − 5 = 6 So 6% read both A and B while avoiding C.
Everyone at the party sits inside one big set, so every circle must lie inside the ellipse. > The fish circle and the meat circle overlap, because some guests took both > The vegetarians took neither, so their circle touches neither of the two Diagram (a) — two overlapping circles plus one separate circle, all inside the ellipse — is the right picture; in (c) the vegetarians are pushed outside the party altogether.
Set A = primes from 1 to 10 = {2, 3, 5, 7}, Set B = evens = {2, 4, 6, 8, 10} and Set C = multiples of 3 = {3, 6, 9}. The only element common to A and B is 2, and 2 is not a multiple of 3, so A ∩ B ∩ C is empty — it has 0 elements. > A ∩ B = {2}; 2 ∉ C → A ∩ B ∩ C = { } The one element of B ∩ C is 6, but 6 is not prime, so it never reaches the triple intersection either.
The prime numbers between 1 and 10 are 2, 3, 5 and 7 (1 is not prime, and 4, 6, 8, 9, 10 are composite). So Set A = {2, 3, 5, 7} has 4 elements.
Set A = primes from 1 to 10 = {2, 3, 5, 7}, which has 4 elements, so statement 2 is correct and 1 and 3 are wrong. Set B = {2, 4, 6, 8, 10} and Set C = {3, 6, 9}. The only element common to A and B is 2, which is not in C, so A ∩ B ∩ C is empty and statement 5 is correct.
> Union = P + Q − (P ∩ Q) > = 120 + 80 − 30 = 170 The union has 170 elements; the overlap is subtracted once because it was counted in both sets.
You have read the ten the Commission asks most. The rest of this topic — and all 4,239 questions across the book, each with a worked solution — come with either edition.
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See the printed book →The Commission set 31 Venn Diagrams questions across 30 papers between 2016–2025. That is the whole set, not a sample — every one of them is in the book, and the 10 most-asked are on this page free.
Yes. 4 of these 31 were set in more than one exam, which is why they are worth working rather than reading. Each question here carries a badge showing how many sittings asked it.
Here. Every question on this page is a solved MCQ: the four options as printed, the correct answer, and a worked explanation in plain English — not just a letter. The rest of the 31 are in the book, in the same form.
Switch to Attempt mode at the top of the questions. You get one question at a time and it is marked the moment you pick an option, with the reason underneath — the same way the exam feels, on your phone.
The questions are on screen rather than in a downloadable file, so they stay current and correct. The printed book has all 31 of these plus the rest of the Reasoning & Aptitude section, and every buyer gets the whole thing online as well.
The exams behind these questions, most first. A paper here is a sitting: a question set in two papers of the same sitting counts once.
| Exam | Year | Questions |
|---|---|---|
| Analysts | 2019 | 6 |
| Junior Scientific Officer (Group-B) | 2024 | 5 |
| Assistant Director, Industrial Training Principal Junior Scale Industrial Traini | 2018 | 5 |
| Enquiry Officer | 2018 | 5 |
| Senior Scientific Officer (Drugs) | 2018 | 5 |
| Drugs Control Officer | 2018 | 5 |
| Senior Scientific Officer (Food Safety) Microbiology | 2018 | 5 |
| Naib Tehsildar | 2023 | 4 |
| Scientific Assistant Toxicology | 2018 | 3 |
| Sub Divisional Officer (Civil) (Group-A) and 01 Post of Sub Divisional Officer (… | 2024 | 2 |
| Punjab Civil Services (Prelims) — CSAT | 2025 | 1 |
| Planning Officer (Group A) | 2024 | 1 |