Puzzles and Seating

In a SINGLE ROW, all persons sit in one line facing the SAME direction (usually North or South). With NORTH-facing people, your LEFT is their right — so 'left of' means moving toward higher serial. With SOUTH-facing, it reverses: their left is YOUR right. Speed trick: write N or S above your diagram and freeze the left/right rule before placing anyone. In a DOUBLE ROW, two rows face EACH OTHER (one North-facing, one South-facing). Persons in opposite rows 'face' each other, so a clue like 'A faces B' links the two rows. Always draw two parallel lines and mark facing arrows first. For Clerk level, rows are usually 5 or 6 people each — manageable.

Memory aid for facing direction: 'NLR-Same as us only for South.' Practically — when a person faces NORTH, their LEFT = your RIGHT side of the page and their RIGHT = your LEFT. When facing SOUTH, their left/right MATCHES your view. Misreading this single rule causes 60% of wrong puzzle answers. Quick drill: 'P is 3rd to the left of Q' — fix Q, then count toward the side that is P's described direction. Always restate the clue as 'positions between' (here, exactly 2 people sit between P and Q). Converting 'nth to the left/right' into 'gap = n-1 persons' speeds elimination dramatically in the exam.

Six friends A-F sit in a row facing North. C is 2nd from the left end. A is immediate right of C. There are two people between A and F. B sits at the right end. Solve: Positions L1-L6. C=L2, A=L3 (immediate right). Two between A and F means F=L6, but B is right end (L6) — contradiction, so F=L6 fails; instead count F to the right: A=L3, gap 2 ⇒ F=L6 only option left blocked by B, so re-check: 'two people between' = F at L6 OR F at L0(invalid). Hence B=L6, and the remaining D,E,F fill L1,L4,L5. This shows why you lock end-clues (B=L6) FIRST, then fill fixed gaps.

In circular puzzles, the LEFT/RIGHT rule flips with facing direction. When ALL face the CENTRE, clockwise = each person's LEFT, anticlockwise = RIGHT. When ALL face OUTSIDE, it reverses: clockwise = RIGHT, anticlockwise = LEFT. Memory aid: 'Centre → Left is clockwise.' For MIXED arrangements (some in, some out), determine each person's direction before applying left/right — this is the Clerk-level twist that trips candidates. Speed tip: draw the circle, mark an arrow for clockwise, and write 'CW = L (if centre)' beside it. Always count the number of seats first; for 8 people, opposite seat = +4 positions. Lock the 'sits between' clues before the directional ones.

For N people EVENLY spaced in a circle, the person directly OPPOSITE is N/2 seats away (only valid when N is even). For N=8, opposite = 4 seats apart; N=10, opposite = 5 apart. 'Kth to the left/right' converts to 'K-1 persons sitting between.' To find people between two seats the SHORTER way, count both directions and take the smaller; clues usually specify direction. Quick check: if 'A is 3rd to the left of B' and also '3rd to the right,' the circle must have 6 seats (3+3). This back-calculation of total seats from two opposite clues is a frequent shortcut in Clerk exams.

Eight people sit around a circle facing the centre. P is 2nd to the right of Q. R sits opposite P. S is immediate left of Q. Solve: Facing centre ⇒ right = anticlockwise, left = clockwise. Fix Q at top. P is 2nd to Q's right (anticlockwise) — two seats anticlockwise. R opposite P = 4 seats from P. S immediate left of Q = clockwise neighbour of Q. By placing Q first and moving in the correct rotational sense each time, every clue lands on a unique seat. The discipline: ALWAYS translate 'left/right' into clockwise/anticlockwise using the facing rule BEFORE you move your pencil.

In FLOOR puzzles, the bottommost floor is numbered 1 and the topmost is highest (e.g., 7 floors → floor 1 bottom, floor 7 top). 'Above' means a higher number; 'below' means lower. Phrase 'P lives immediately above Q' ⇒ P = Q+1. 'As many floors above X as below Y' is a balancing clue — set up X's floors-above = Y's floors-below and solve. Speed tip: draw a vertical ladder, put floor numbers on the left, and always anchor the topmost/bottommost clue first. For Clerk, floors are usually 5-7, so brute-forcing 2-3 cases is faster than over-analysing. Count 'gap' clues as (n-1) floors between.

BOX puzzles stack boxes vertically like floors — 'Box A is kept immediately above Box B' works identically to floors. Watch the wording 'how many boxes between A and B' = positions minus one. A common variant gives counts like 'Only 3 boxes are between P and Q' — fix one box and the other has limited valid slots near top/bottom. The 'maximum/minimum' wording ('at least 2 boxes above') signals RANGE reasoning: list possible positions, then eliminate with other clues. Memory aid: treat boxes EXACTLY like a floor ladder; the only difference is vocabulary. Always test the extreme (top or bottom) anchored clue first to cut branches.

Five floors (1 bottom to 5 top). A lives above C. There are 2 floors between A and C. B lives on the topmost floor. D lives immediately below B. Solve: B=5 (top). D immediately below B ⇒ D=4. 'Two floors between A and C' with A above C: possible pairs (C=1,A=4) or (C=2,A=5) or (C=3,A=... no). A=4 taken by D, A=5 taken by B, so C=1, A=4 conflicts with D — therefore C=2,A=5 conflicts with B. Re-solve: only C=1 with A=4 works once we realise the remaining floor is E. Lock B and D first (top anchors), then fit the gap clue into surviving floors. This anchoring order is the exam's time-saver.

Scheduling puzzles assign people/events to DAYS (Mon-Sun), MONTHS, or DATES. Treat them like a linear arrangement where the sequence is FIXED and known (Monday<Tuesday<...). 'P's event is before Q's' means earlier in the week. 'Exactly 2 days between' = gap of 2 days (e.g., Mon and Thu). Anchor the EARLIEST or LATEST clue first ('the meeting on the last day'). For month puzzles using fixed dates (like the 10th or 23rd of four months), note which months have how many days only if dates near month-end matter. Speed tip: write the days/months as a fixed scale on paper and slot names in — never reorder the scale itself.

Key conversions: 'X is scheduled immediately before Y' ⇒ consecutive slots. 'There are 2 days between X and Y' ⇒ 2 empty slots, so positions differ by 3 (e.g., Tue and Fri). 'No one is scheduled between X and Y' ⇒ adjacent. For a 6-day schedule (Mon-Sat, no Sunday) with 6 people, every slot fills exactly once — use elimination. When a puzzle mixes day AND another variable (city, subject), build a two-column grid: days on the left, the second attribute on the right. Memory aid: 'between = gap, immediately = adjacent.' Always count total slots vs total people first; an empty slot changes everything in Clerk-level questions.

Four people A, B, C, D have exams on Mon, Tue, Wed, Thu (one each). A's exam is before C's. B's exam is immediately after A's. D's exam is on Thursday. Solve: D=Thu (anchor). B immediately after A ⇒ A,B consecutive. Remaining days Mon,Tue,Wed for A,B,C. A before C. If A=Mon,B=Tue then C=Wed (A<C ✓). If A=Tue,B=Wed then C=Mon, but A(Tue)<C(Mon) fails. So A=Mon, B=Tue, C=Wed, D=Thu. The method: anchor the fixed day (D=Thu), apply the 'immediately after' adjacency, then test the ordering clue to discard invalid cases. Two quick trials settle it.