All 14 Mathematical Operations questions the Punjab PSC asked between 2015 and 2026, each with a worked answer and the exam it came from. First 10 free to read.
1 of these 14 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.
| 2 | 6 |
|---|---|
| 80 | 24 |
Figure 2 :
| 3 | ? |
|---|---|
| 120 | 36 |
Which number should come in place of the question mark (?) ?
| 29 | 13 | 18 |
|---|---|---|
| 33 | X | 19 |
| 30 | 27 | 3 |
Which one of the following numbers is the missing number indicated above by X ?
Follow the cards through the handovers, starting from 10 each. > F borrows 2 from A: A = 8, F = 12; F gives 5 to C: F = 7, C = 15 > C gives 3 to B: C = 12, B = 13; B gives 6 to D: B = 7, D = 16 > D passes 1 to E: D = 15, E = 11 > D + E = 26, and 7 + 12 + 7 = 26 The equal group is B, C and F.
Both figures follow the same two links. > Lower left = 40 × upper left: 40 × 2 = 80 and 40 × 3 = 120 > Lower right = 4 × upper right: 4 × 6 = 24 > So upper right = 36 ÷ 4 The missing number is 9.
In each row the second and third numbers together come to a little more than the first, and that extra shrinks by one as you move down. > Row 1: 13 + 18 = 31, which is 2 more than 29 > Row 3: 27 + 3 = 30, which is 0 more than 30 > The middle row must be 1 more: X + 19 = 33 + 1 > X = 15 The Commission's revised key accepts both (b) and (d).
Decode the symbols: $ means >, @ means ≤, * means =, & means <, # means ≥. Statements: Z ≥ H, B < H, K > B, which chain as Z ≥ H > B < K. > I. K > Z: K and Z sit on opposite sides of B with no link — not definite > II. K = Z: no relation — false > III. K > H: K > B and H > B give no relation between K and H — false > IV. Z > B: Z ≥ H and H > B → Z > B — true So only IV is true.
Put P = +, Q = −, R = ×, S = ÷, T = '=', U = '<', Z = '>'. Then solve each option by BODMAS. > (a) 8 > 2×3×4÷2×4 → 8 > 48, false > (b) 10 = 2+2×4+1−2 → 10 = 9, false > (c) 2 < 2×4+1×4−8 → 2 < 4, true > (d) 12 = 4+2÷1×4×2 → 12 = 20, false Only option (c) gives a true statement.
The '−' here stands for the rule n² − 1: 5² − 1 = 24 and 7² − 1 = 48. > 10 − 10 = 10² − 1 = 99 So (c) 99.
Replace the letters by the operations they stand for. Then apply BODMAS — division and multiplication before addition and subtraction. > 12 M 6 S 5 D 8 A 9 = 12 ÷ 6 + 5 × 8 − 9 > = 2 + 40 − 9 = 33 So the value is 33.
Replace the letters by the operations (R stands for ×) and apply BODMAS: multiply and divide first, then add and subtract. > 5 × 9 + 7 − 9 ÷ 3 + 6 > = 45 + 7 − 3 + 6 = 55 So (c).
Replace the symbols (– = ÷, + = ×, ÷ = −, x = +) and evaluate with BODMAS. > (a) 4 + 5 × 9 ÷ 3 − 4 = 4 + 15 − 4 = 15 ✓ > (b) 4 + 5 + 9 × 3 − 4 = 32 ≠ 11 > (c) 4 ÷ 5 − 9 + 3 ÷ 4 = −7.45 ≠ 17 > (d) 4 − 5 × 9 ÷ 3 × 4 = 4 − 60 = −56 ≠ 18 Only equation (a) holds.
Number the letters A = 1 … Z = 26. The examples fit the geometric mean of the two positions: AD = sqrt(1 × 4) = 2, HH = sqrt(8 × 8) = 8, CL = sqrt(3 × 12) = 6. > JJ = sqrt(10 × 10) = 10 > ET = sqrt(5 × 20) = 10 > DY = sqrt(4 × 25) = 10 All three are equal.
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 14 Mathematical Operations questions across 18 papers between 2015–2026. 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. 1 of these 14 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 14 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 14 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 |
|---|---|---|
| Punjab Civil Services (Prelims) — CSAT | 2025 | 3 |
| Senior Assistant (Accounts) (Group B) | 2026 | 1 |
| Planning Officer (Group A) | 2024 | 1 |
| Scientific Assistant (Serology) (Group B) | 2023 | 1 |
| Scientific Assistant (Biology) (Group B) | 2023 | 1 |
| Analysts | 2022 | 1 |
| Assistant Director Assistant Controller of Stores St | 2022 | 1 |
| Inspector, Cooperative Societies | 2022 | 1 |
| Accountants | 2022 | 1 |
| Junior Engineers (Civil) | 2022 | 1 |
| Section Officer (Electrical) | 2021 | 1 |
| Junior Engineers (Electrical) | 2021 | 1 |