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Advanced Puzzles (Multi-condition)

1. Outline & Learning Goals

By the end of this chapter, you will be able to:


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:

  1. *"I read all the conditions and forget the first one by the time I reach the last."*
  2. *"I make the table, but two people fit in the same slot."*
  3. *"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:

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):

PersonCityProfessionColour
A
B
C
D
E

Now fill it using three clue types, in this order:

  1. Definite clues first — "C is the doctor." Straight into the grid.
  2. 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.
  3. 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:

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 writesYou 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":

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:

  1. Grid: rows A, B, C; columns City, Profession.
  2. Definite: C → Kochi (clue iii).
  3. Negative: A ≠ Jaipur (iv), and C = Kochi, so A → Delhi, B → Jaipur.
  4. 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

StepActionCommon Mistake
1Draw the full grid with all attributesStarting to solve while reading
2Read ALL clues oncePlacing clue 1 before reading clue 7
3Fill definite cluesFilling "maybe" clues first
4Mark ✗ for every negative clueIgnoring "neither…nor"
5Apply linked/comparative cluesForgetting "only" changes rank meaning
6Split into 2 cases if neededGuessing instead of casing
7Re-check the grid against EVERY clueAnswering 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.

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