Advanced Puzzles (Multi-condition)
1. Outline & Learning Goals
By the end of this chapter, you will be able to:
- Read a puzzle with 5–8 conditions and convert every condition into a usable clue.
- Build a master grid/table that tracks 3 or more attributes at once (person × city × profession × day, etc.).
- Use positive clues, negative clues, and comparative clues in the right order.
- Handle "two possible cases" without panic — and eliminate the wrong case fast.
- Decide in 10 seconds whether a puzzle is worth solving in the exam or should be skipped.
2. The Hook: Why Toppers Love These Questions
Here is a secret most coaching institutes won't tell you: multi-condition puzzles are the most predictable questions in the entire reasoning paper. The examiner has only a handful of tricks — hiding information, splitting one fact into two sentences, and giving you a condition that only becomes useful at the very end. Once you learn to *organise* instead of *memorise*, a question that scares 90% of candidates becomes your personal 5-mark gift.
The difference between a student who solves a 7-condition puzzle in 4 minutes and one who gives up is not intelligence. It is one sheet of paper with a clean table on it.
3. The Common Struggle (You Are Not Alone)
Almost every aspirant says the same three things:
- *"I read all the conditions and forget the first one by the time I reach the last."*
- *"I make the table, but two people fit in the same slot."*
- *"I solve it fully, and still mark the wrong answer."*
All three problems have the same root cause: trying to hold the puzzle in your head instead of on paper. Your working memory can hold about 4 items at once. A multi-condition puzzle has 15–20. The maths is simple — the puzzle *must* live on paper.
4. Chunk 1 — What Makes a Puzzle "Multi-condition"?
A basic puzzle gives you direct facts: *"A sits to the left of B."*
A multi-condition puzzle layers three things together:
- Multiple attributes: each person has a city, a profession, a favourite colour, a day…
- Indirect clues: *"The doctor does not live in the city whose name starts with the same letter as his own."*
- Linked conditions: clue 4 only makes sense after you place clue 1 and clue 7.
The golden rule: the puzzle is never solved clue-by-clue in reading order. It is solved in *usefulness order*.
🧠 Active Recall: Without looking back — what are the three layers that make a puzzle "multi-condition"? Say them out loud.
5. Chunk 2 — The Master Grid: Your Only Weapon
For any puzzle with 3+ attributes, draw a grid before you place a single fact.
Example skeleton (5 persons, 3 attributes):
| Person | City | Profession | Colour |
|---|---|---|---|
| A | |||
| B | |||
| C | |||
| D | |||
| E |
Now fill it using three clue types, in this order:
- Definite clues first — "C is the doctor." Straight into the grid.
- Negative clues second — "B is not from Pune, not the teacher." Write small ✗ marks in those cells. Negative clues are silent killers; most students ignore them, and they are usually the key that cracks the puzzle.
- Comparative/linked clues last — "The person from Delhi is older than the engineer." These only work once the grid has some entries.
🧠 Active Recall: Which clue type do you fill *second*, and why is it the one most students skip?
6. Chunk 3 — The Two-Case Technique
Sometimes a clue gives you a fork: *"Either F is the singer, or G is the dancer."* Do not guess. Do this:
- Draw Case 1 and Case 2 side by side (two mini-grids).
- Fill both as far as the clues take you.
- One case will collide with a condition — a contradiction. Cross it out completely.
- Continue with the surviving case. This is now your only grid.
Exam discipline: never carry three cases. If a puzzle genuinely needs 3+ cases and none collapses quickly, that is your signal to consider skipping (see the time rule below).
🧠 Active Recall: What event tells you a case is dead? (Answer: a contradiction with any given condition.)
7. Chunk 4 — Reading Clues Like a Detective
Examiners hide facts inside grammar. Train yourself to translate:
| Examiner writes | You read |
|---|---|
| "A, who is not the clerk, lives with the engineer" | A ≠ clerk, A ≠ engineer, and these are 3 different people |
| "Only one person sits between P and R" | P _ R or R _ P (distance = 2) |
| "M is taller than only N" | M is second-shortest; N is shortest |
| "Neither X nor Y is from Goa" | X ≠ Goa, Y ≠ Goa (two separate ✗ marks) |
Notice the last two rows — "only" and "neither…nor" are the examiner's favourite trap words. Underline them every single time.
🧠 Active Recall: "M is taller than only N" — what is M's exact rank from the bottom?
8. Chunk 5 — A Mnemonic to Remember the Method
Remember "GRID-P":
- G — Grid first, always.
- R — Read all clues once *before* placing anything.
- I — Insert definite clues.
- D — Deduce with negative clues (✗ marks).
- P — Prune the wrong case.
Say it once before every practice puzzle: *"Grid first, then GRID-P."*
9. Chunk 6 — Worked Mini-Example
Puzzle: Three friends — A, B, C — live in Delhi, Jaipur, Kochi and are a doctor, teacher, lawyer (in some order).
(i) A is not the doctor. (ii) The teacher lives in Jaipur. (iii) C lives in Kochi. (iv) A does not live in Jaipur.
Solution walk-through:
- Grid: rows A, B, C; columns City, Profession.
- Definite: C → Kochi (clue iii).
- Negative: A ≠ Jaipur (iv), and C = Kochi, so A → Delhi, B → Jaipur.
- Linked: teacher lives in Jaipur (ii) → B = teacher. A ≠ doctor (i) → A = lawyer, C = doctor.
Done in under a minute — because every clue went straight into the grid, not into your head.
🧠 Active Recall: Which single clue unlocked the professions? (Clue ii — the linked clue — but only *after* cities were fixed.)
10. Summary Table
| Step | Action | Common Mistake |
|---|---|---|
| 1 | Draw the full grid with all attributes | Starting to solve while reading |
| 2 | Read ALL clues once | Placing clue 1 before reading clue 7 |
| 3 | Fill definite clues | Filling "maybe" clues first |
| 4 | Mark ✗ for every negative clue | Ignoring "neither…nor" |
| 5 | Apply linked/comparative clues | Forgetting "only" changes rank meaning |
| 6 | Split into 2 cases if needed | Guessing instead of casing |
| 7 | Re-check the grid against EVERY clue | Answering from memory of the grid |
Time rule: A 5-question puzzle set deserves 6–8 minutes maximum. If after 2 minutes your grid is still empty, mark it and move on — return only if time remains.
📌 Review this chapter after 2 days. Redraw the GRID-P steps from memory, then re-solve the mini-example in Chunk 6 without looking at the solution.
⚠️ Caution: Examiner's Trap
Trap 1 — Multiple plausible relationships in the options.
In multi-condition puzzles, the examiner designs answer options so that *two options look correct* if you solved only 80% of the grid. Example: the question asks "Who is the engineer?" and both "A" and "The person from Delhi" appear as options — and A *is* from Delhi. If your grid is incomplete, you may pick the wrong form. Defence: complete the full grid before looking at the options, and check whether two options refer to the same person.
Trap 2 — Difficult wording to confuse you.
Phrases like *"the person who lives immediately above the one who likes the colour of the fruit sold by the vendor"* are deliberately twisted. The content is simple; the sentence is not. Defence: translate every long clause into symbols (✗, →, =) on paper the moment you read it. Never re-read a twisted sentence three times — decode it once, write it once.
Trap 3 — Double-relationship questions.
Some questions test two links at once: *"The doctor's neighbour is the brother-in-law of the teacher."* Students often satisfy one relationship and forget the second. Defence: for every such clue, put a small "2" next to it in your notes — a reminder that it must be verified twice before the grid is final. If even one of the two links fails, the placement is wrong.