Complex Puzzles and Seating

In a single linear row, ALWAYS fix the facing direction first. If all face NORTH, your LEFT is the reader's right and right is reader's left — so 'P is to the left of Q' means P sits towards the west end (lower-numbered position from left). Convert every clue to a fixed reference frame: number seats 1..n from the left. 'Immediate left' = adjacent lower number; 'left' (not immediate) = any lower number. Speed trick: redraw the entire row only once, in north-facing terms; never flip mentally clue-by-clue. Mark definite positions with capital letters and 'floating' people with arrows. Memory aid: 'NORTH = Normal' (your left/right matches the page); 'SOUTH = Swapped'.

Two parallel rows where Row-1 faces SOUTH and Row-2 faces NORTH means each Row-1 person looks AT a Row-2 person. The key rule: a Row-1 member's LEFT aligns with the OPPOSITE Row-2 member's RIGHT, because they face opposite directions. Always draw Row-2 directly above Row-1 with seat columns aligned. 'Faces' clues link the two rows vertically; 'left/right/between' clues operate within one row. Speed tip: solve the row with more direct clues first, then transfer facing links. Memory aid: when two people face each other, their left hands point the SAME way along the seating line — exploit this to anchor both rows simultaneously.

Seven people A-G face north or south in one row. Clue: 'C is 2nd to the right of A; A faces north; B sits at an extreme end facing C.' Steps: (1) Set seats 1-7 left to right. (2) A north means A's right = higher seat numbers, so C = A+2. (3) 'B at extreme end faces C' — B looks toward C, fixing B's direction and position. Place A at seat 2 (try), C at seat 4; B at seat 1 must face right (north) to 'face C', or seat 7 facing left (south). Test against remaining clues, eliminate contradictions. Lesson: extreme-end + facing clue usually pins two variables at once — attack it early.

Around a circle, when a person faces the CENTRE (inward), their LEFT is clockwise and right is anticlockwise. When facing OUTWARD, it flips: left is anticlockwise, right is clockwise. In mixed-facing circles, this is the #1 trap. Speed method: draw the circle, mark each person's facing with an arrow, then for every 'left/right' clue, decide direction PER PERSON using their own arrow. Memory aid: 'IN-Left-Clock' (Inward → Left = Clockwise). For all-inward problems (most common), just remember left = clockwise throughout. Always count gaps, not people, when a clue says 'third to the left'.

Square/rectangular tables seat people at CORNERS (facing centre) and MIDDLE-of-SIDES (facing outward) in SBI PO 'mixed direction' puzzles. A common 8-person square: 4 at corners face centre, 4 at side-middles face outward. Corner people and side people have DIFFERENT left/right orientation — handle separately. For 'between' clues across a corner, count along the perimeter. Speed aid: number positions 1-8 going clockwise; convert all 'left/right' to clockwise/anticlockwise steps using each seat's facing. Memory hook: corners 'look in', edges 'look out'. Diagonally opposite corners are 4 perimeter-steps apart on an 8-seat square.

For 'A is Kth to the left/right of B' in a circle of n people, the position is found by stepping K seats in the correct rotational direction. Crucially, 'Kth to the right of B' and '(n-K)th to the left of B' point to the SAME seat. Example: in a circle of 8, '3rd to the right of B' = '5th to the left of B'. Use this to cross-check or convert awkward clues into the direction you're already drawing. Speed trick: if two clues give A relative to B from both sides and the numbers sum to n, they're consistent — if they sum to anything else, you have a contradiction or a different person.

In floor puzzles, the GROUND/LOWEST floor is numbered 1 and the TOP floor is the highest number. 'Above' = higher floor number; 'below' = lower. 'Immediately above' = exactly +1 floor. Watch the trap: 'as many people above X as below Y' creates a fixed gap you can exploit. Speed method: draw a vertical ladder, top at the page-top, and fill from the most-constrained clue (usually one mentioning top/bottom or 'gap' counts). For 'odd/even-numbered floors' clues, pre-label which floors are odd to filter possibilities fast. Memory aid: 'Ground is 1, Sky is n' — never invert this unless the question explicitly numbers top as 1.

Stacked-box puzzles mirror floor logic vertically. The killer clue type: 'Only TWO boxes are between P and Q' fixes the gap to exactly 3 levels (P and Q plus two between). Translate every such clue into |posP - posQ| = gap+1. Combine with anchor clues like 'R is at the bottom' to chain positions. Speed trick: list all clues as inequalities/gaps, then place the box tied to an extreme (top/bottom) first — it has the fewest options. For 'more boxes above A than below B' type, set up a counting inequality and test the minimum case. Always verify total count equals the number of boxes before finalising.

Seven people live on floors 1(bottom)-7(top). Clues: 'A on an even floor; three people live between A and B; B above A; C on the topmost floor.' Steps: (1) C = 7. (2) A even: 2,4,6. (3) B above A with 3 between means B = A+4. Test A=2→B=6; A=4→B=8 invalid (max 7 and 7 is C). So A=2, B=6. (4) Continue placing others by remaining clues. Lesson: combine the 'even floor' filter with the fixed gap equation to instantly kill most cases — only A=2 survives once C occupies 7. This 'filter-then-gap' order is the fastest route in SBI PO floor sets.

Double line-up (matrix) puzzles attach MULTIPLE variables to each person — e.g., name + city + profession + age. The fastest tool is a GRID: rows = people/positions, columns = variables. Fill only DEFINITE clues first; mark eliminations with a cross in the cell. Negative clues ('X is not from Delhi') are gold — they shrink the grid without needing positive placement. Speed rule: process clues in order of certainty (fixed > comparative > negative). Memory aid: 'Definite, Difference, Deny' — place definites, then comparatives, then use denials to mop up. Never carry a variable in your head; always commit it to the grid cell immediately to avoid re-derivation.

Categorisation puzzles often hide a RANKING (tallest/oldest/highest-paid). Convert words to a single ordered line: use '>' for 'taller/older/more than'. 'A is taller than B but shorter than C' becomes C > A > B. 'Only two people are older than D' means D is 3rd from the oldest. Speed trick: anchor the chain at 'only N are above/below' clues — they pin exact ranks. Watch units: salary in thousands vs lakhs, age in years. For 'second highest' type final questions, count from the correct end. Memory hook: translate EVERY comparison into one master inequality chain before answering — mixing two chains causes most errors.

Five people each like one city and one sport. Clues: 'The one who likes Mumbai plays Tennis; A does not like Mumbai; B plays Cricket; the Tennis player is not B or C.' Grid steps: (1) Mumbai⇒Tennis link noted. (2) B plays Cricket, so B≠Tennis⇒B≠Mumbai. (3) Tennis player not B/C, and not A (A≠Mumbai⇒A≠Tennis). So Tennis ∈ {D,E}. (4) That person likes Mumbai. Cross-eliminate until one survives. Lesson: chained 'if-likes-then-plays' clues let you propagate a single elimination across two columns at once — always follow the link both ways (city↔sport). This bidirectional propagation is the core SBI PO matrix skill.