Puzzles present raw information about the relative order, position or grouping of people, objects or events. The given facts are usually jumbled and candidates must analyse, sequence and interlink the facts to form a consistent arrangement. Puzzle reasoning tests logical analysis, attention to detail, elimination of impossibilities, and stepwise deduction. There is no single formula that fits every puzzle; success depends on a disciplined method of translating statements into a diagram, table or definite positions and then deriving consequences systematically.
What is Puzzle Reasoning?
Puzzle reasoning requires analysing the given data, choosing relevant statements, discarding irrelevant detail, and arranging the remaining items according to the conditions. The objective is to arrive at a unique, logically consistent configuration from which the answers follow directly. These problems commonly appear in competitive and recruitment examinations and come in a variety of standard formats.
Types of Puzzle Reasoning
Floor Puzzle
Information about people living on different floors of a building is given. Candidates must assign each person to a floor while satisfying all conditions (for example, neighbours, persons above/below, parity of floor numbers).
Scheduling Puzzle
Data refer to dates, months, days of the week or years. The task is to place events or people on the correct dates or slots using the constraints provided.
Double Line-up / Multiple-Variable Puzzle
Several attributes for each person (such as colour, city, profession) are given in a mixed order. Candidates must link each person with every attribute correctly.
Linear Puzzle
People are arranged in a single row or multiple rows; constraints concern left/right neighbours, corners and distances from ends.
Square Puzzle
People sit around a square (or other polygonal) table. Positions are described using left/right, opposite or clockwise/anticlockwise relations; note whether they face the centre or outside, because that affects left/right orientation.
Box Puzzle
Boxes are stacked or arranged in columns. Clues restrict relative order, contents or weights, and the candidate must deduce the complete stack order.
Approach and strategy
- Carefully read all statements once to understand the domain (circle, line, floors, boxes) and any global constraints (who faces whom, number of persons, ends of a row, parity of floors).
- Translate the statements into a diagram or a labelled array. Use placeholders (A, B, C, ... or 1-8) rather than attempting to visualise everything mentally.
- Start with definite placements: persons at corners, extremes, or those given absolute positions (first, last, topmost, bottommost).
- Apply distance clues (e.g., "two between A and B") and fixed offsets (e.g., "third to the right of X") to place more items.
- Keep track of exclusions. Mark cells as unavailable when a placement contradicts a statement; this pruning often forces unique placements.
- Reconcile all conditions and verify that the final arrangement satisfies every statement before answering.
- If multiple cases are possible, examine each case stepwise and eliminate those that violate any clue; keep only the consistent case(s).
Examples :
Q1: Direction: Study the following information carefully and answer the given question.
There are eight people A, B, C, D, E, F, G, and H sitting around a circular table facing towards the centre (not necessarily in the same order). C is sitting second to the right of G. E is sitting immediately to the left of A who is facing C. D is sitting between A and G, B is sitting fourth to the left of G who is sitting immediately to the left of H.
Who is sitting fifth to the right of H?
Sol: Assume a fixed reference position for H and construct the seating step by step to satisfy all statements.
- Place H at any seat; since G is immediately to the left of H, place G immediately left of H.
- C is second to the right of G; place C two seats to G's right.
- A is facing C, which for a circle facing centre means A is opposite C; place A opposite C.
- E is immediately to the left of A; place E on A's left.
- D sits between A and G; place D in the seat that lies between A and G.
- B is fourth to the left of G; count four seats to the left of G and place B there.
- Count five seats to the right of H: that seat is occupied by A.
Therefore, A is sitting fifth to the right of H.
Q2: Direction: Study the following information carefully and answer the given question.
There are eight persons P, Q, R, S, T, U, V and W sitting in a row(not necessarily in the same order) and facing east. T is sitting fourth to the right of Q. V is sitting third from the right end of the row. Q is sitting between U and W who is sitting third to the left of T who is sitting at a corner. P is sitting immediate left of U. R is sitting at the left corner of the row.
How many people sit to the right of W?
Sol:
- Use positions 1 to 8 left to right; R is at the left corner, so R occupies position 1.
- V is third from the right end; so V occupies position 6 (positions counted left to right: 1..8 -> third from right is 6).
- T is sitting at a corner; since R is already at left corner (position 1), T must be at right corner (position 8).
- T is fourth to the right of Q; therefore Q must be at position 4 (because from position 4, the fourth to the right is position 8).
- W is third to the left of T; from position 8, three to the left is position 5, so place W at position 5.
- Q is between U and W, and Q is at position 4, so U is at position 3 and P, who is immediate left of U, is at position 2.
- Remaining persons occupy positions 7 and 8; T is at 8 and the remaining person occupies 7.
- To the right of W (position 5) are persons at positions 6, 7 and 8: three people.
Hence, three people sit to the right of W.
Q3: Direction: Study the following information carefully and answer the given question.
There are eight people F, G, H, I, J, K, L, and M sitting around the square table (not necessarily in the same order) and facing inside the table.
L is sitting fifth to the left of F, who is an immediate neighbor of J. M is sitting second to the left of K, who is third to the right of L. I is not an immediate neighbor of K and M. G is sitting fourth to the left of I.
What is the position of K with the respect of H?
Sol: According to the statement:
- L is sitting fifth to the left of F.
- K who is third to the right of L.
- M is sitting second to the left of K.
- It is not an immediate neighbor of K and M. So, I is placed at right of F because if I placed at left of L then (G is sitting fourth to the left of I) this statementment can't be true.
- F who is an immediate neighbor of J.
- G is sitting fourth to the left of I.
- F who is an immediate neighbor of J. And, H is sitting in the remaining place.
So, K is sitting Fourth to the left/right of H.
Q4: Direction: Study the following information carefully and answer the given question.
Eight friends Ankit, Abhi, Akshay, Arjun, Arav, Anmol, Ankush and Atul live on different floors of an eight floors building, Ground floor is numbered as 1 and the topmost floor is numbered as 8. One person lives on each floor but not necessarily in the same order.
Atul lives on an odd-numbered floor but not on the bottom floor. Two friends live between Atul and Ankit. Ankit lives above the floor on which Atul lives. Three friends live between Akshay and Arjun. Arjun lives on an even-numbered floor. Arav lives just below Arjun. Arav lives on one of the floors above Abhi. Ankush lives above Anmol but below Abhi.
The number of floors above Ankit is the same as the number of floors below ________?
Sol:
- Atul lives on an odd-numbered floor but not on the bottom floor.
- Two friends live between Atul and Ankit.
- Ankit lives above the floor on which Atul lives.
- Three friends live between Akshay and Arjun.
- Arjun lives on an even-numbered floor.
- Arav lives just below Arjun.
- Arav lives on one of the floors above Abhi. (This eliminates case 2)
- Ankush lives above Anmol but below Abhi.
Hence, there will be two floors on which Atul lives.
Q5: Direction: Study the following information carefully and answer the given question.
P, R, T, V, X, Y, and Z are seven different people who belong to different cities, Delhi, Mumbai, Pune, Chennai, Bengaluru, Jaipur, and Surat, not necessarily in the same order. P is not from Chennai. V is neither from Surat nor from Bengaluru. Either X or T is from Delhi. Y is from Mumbai. R is not from Bengaluru. V is neither from Pune nor from Chennai. Z is either from Surat or Bengaluru. T is not from Chennai. R is neither from Pune nor from Chennai.
Which city does R belong to?
Sol: Step 1: Start with definite informationY is from Mumbai, so Mumbai is assigned.
Z is either from Surat or Bengaluru.
Either X or T is from Delhi.
Step 2: Determine the city for VV is not from Surat, Bengaluru, Pune, or Chennai.
This leaves only Delhi and Jaipur as possible options.
Since Delhi must be assigned to either X or T, V cannot be from Delhi.
Therefore, V is from Jaipur.
Step 3: Determine possible cities for R
R is not from Bengaluru, Pune, or Chennai.
So R can be from Delhi, Mumbai, Jaipur, or Surat.
But:
- Mumbai is already assigned to Y
- Jaipur is assigned to V
- Delhi must go to either X or T
So the only remaining option for R is Surat.
Step 4: Verify remaining placements
Since Z is either from Surat or Bengaluru, and Surat is now assigned to R,
Z must be from Bengaluru.
The remaining cities are Pune and Chennai for P and X.
Since P is not from Chennai,
P is from Pune and X is from Chennai.
T takes the remaining city Delhi, satisfying the condition.
Final Assignment
- P is from Pune
- R is from Surat
- T is from Delhi
- V is from Jaipur
- X is from Chennai
- Y is from Mumbai
- Z is from Bengaluru
Final Answer: R belongs to Surat
