Reasoning — Non-Verbal Reasoning, Puzzles, and Data Interpretation

Why This Chapter Matters

Non-verbal reasoning, seating arrangement puzzles, and data interpretation form a distinct cluster of skills within the reasoning section — one that rewards patience and systematic elimination far more than raw speed. Many candidates lose easy marks here not because the logic is difficult, but because they try to solve puzzles in their head instead of on paper, or because they panic when a data interpretation table looks dense. This chapter will train you to slow down just enough to work methodically, while still respecting the clock. Mastering this cluster often separates a good score from a great one, because these questions are marks-heavy relative to the time a well-trained candidate needs to solve them.

Figure Series and Pattern Recognition

Non-verbal reasoning questions typically show a sequence of figures with rotating shapes, changing shading, or shifting elements, and ask you to identify the next figure in the series. Since this is a text-based guide, focus on the underlying principles you must apply when you encounter these visually: look for rotation (does the figure turn 45, 90, or 180 degrees each step?), look for addition or subtraction of elements (does a new dot or line appear each step, or does one disappear?), and look for shading changes (does a white shape turn black, or does shading move from one part of the figure to another in sequence?). The reliable method is to isolate one changing attribute at a time — first check only rotation, then only shading, then only element count — rather than trying to absorb the whole figure at once. Most series follow exactly one or two simultaneous rules; once you have identified both rules from the first three or four figures in the sequence, applying them to predict the next figure becomes mechanical.

Mirror-image and water-image questions test your ability to visualize reflection. For a mirror image, imagine a vertical mirror placed to the right of the figure — left and right flip, but up and down stay the same. For a water image, imagine the figure reflected in still water below it — up and down flip, but left and right stay the same. A simple trick: write the letter or figure on paper and physically hold it up to an actual mirror (or use a phone camera reversed) during practice sessions until the flipping logic becomes intuitive, since it is very easy to make the letters flip incorrectly under exam stress.

Seating Arrangement Puzzles

Seating puzzles describe a group of people arranged around a table or in a row, along with clues about who sits where relative to others, and ask you to determine the full arrangement.

Worked Example: Six court staff members — Junior Assistant (JA), Typist (T), Copyist (C), Process Server (PS), Record Assistant (RA), and Office Subordinate (OS) — sit around a circular table facing the center. T sits second to the right of JA. PS sits immediately to the left of T. C sits opposite JA. RA sits immediately to the right of C. Where does OS sit?

Step 1: Draw a circle with six positions, numbered 1 to 6 clockwise. Place JA at position 1.

Step 2: "T sits second to the right of JA" means moving two positions clockwise from JA lands on T — so T is at position 3.

Step 3: "PS sits immediately to the left of T" — immediately to the left in a clockwise-numbered circle means one position counter-clockwise from T, so PS is at position 2.

Step 4: "C sits opposite JA" — opposite in a six-person circle means three positions away, so C is at position 4.

Step 5: "RA sits immediately to the right of C" means one position clockwise from C, so RA is at position 5.

Step 6: The only remaining position is 6, so OS sits at position 6, which is immediately to the left of JA (position 1) and immediately to the right of RA (position 5).

Step 7: Answer: OS sits between RA and JA, at position 6.

The discipline that makes seating puzzles solvable under time pressure is always the same: draw the diagram first, place the most specific and unconditional clue first (like "C sits opposite JA," which fixes a relationship regardless of starting point), and only then work through the relative clues (like "second to the right of," "immediately to the left of") one at a time, updating your diagram after each one.

Puzzle-Based Arrangements (Linear and Ranking)

Worked Example: Five clerks — P, Q, R, S, and T — are ranked by the number of case files they processed in a week, with P processing more files than Q but fewer than R. S processed the most files of all. T processed fewer files than Q but more than nobody else mentioned. Who processed the second-most files?

Step 1: From "P processed more than Q but fewer than R," we get the order fragment: R > P > Q.

Step 2: "S processed the most of all" places S at the top: S > R > P > Q.

Step 3: "T processed fewer than Q but more than nobody else mentioned" means T is below Q and, since no one else is below T, T is last: S > R > P > Q > T.

Step 4: The second-most is R.

Step 5: Answer: R processed the second-most case files.

Ranking puzzles are best solved by writing partial order fragments from each clue separately on scratch paper, then merging the fragments into one master sequence — trying to merge everything in your head in one pass is where most errors occur.

Data Interpretation: Tables, Bar Graphs, and Pie Charts

Data interpretation (DI) questions give you a table or chart and ask several questions based on it. The core skill is reading accurately and calculating efficiently — not advanced mathematics.

Worked Example (Table-based): A District Court office recorded the following number of case files registered over five days: Monday — 120, Tuesday — 150, Wednesday — 90, Thursday — 180, Friday — 160. What is the average number of files registered per day, and on which day was registration closest to that average?

Step 1: Sum the values: 120 + 150 + 90 + 180 + 160 = 700.

Step 2: Divide by the number of days: 700 ÷ 5 = 140.

Step 3: Compare each day's value to 140: Monday differs by 20, Tuesday by 10, Wednesday by 50, Thursday by 40, Friday by 20.

Step 4: Tuesday has the smallest difference (10), so Tuesday is closest to the average.

Step 5: Answer: Average = 140 files per day; Tuesday is closest to this average.

Worked Example (Percentage/Pie-chart-style): Out of 500 total staff members across a court complex, the distribution is: Junior Assistants 30%, Typists 20%, Process Servers 15%, Record Assistants 25%, and the remainder are Office Subordinates. How many Office Subordinates are there?

Step 1: Add the known percentages: 30 + 20 + 15 + 25 = 90%.

Step 2: The remainder is 100% − 90% = 10%.

Step 3: Calculate 10% of 500: 0.10 × 500 = 50.

Step 4: Answer: 50 Office Subordinates.

For bar-graph questions, the same principles apply — read the axis scale carefully before extracting any value (a common trap is a bar graph where each gridline represents 20 units rather than 10, which changes every subsequent calculation), and always double-check whether a question asks for an absolute value, a difference, a percentage, or a ratio, since DI questions often bury the real ask in a long sentence.

Cubes, Dice, and Miscellaneous Non-Verbal Types

Dice questions test your ability to track which face is opposite which, based on given views of the dice. The key rule: if two different views of the same standard dice show a common face in the same position, the other two visible faces in each view help you deduce adjacency and, by elimination, opposite pairs. Since a standard dice has three pairs of opposite faces, once you know two pairs, the third pair is whatever numbers remain. Cube-cutting questions (where a large cube is painted and cut into smaller unit cubes) test spatial visualization — remember the standard results: for an n×n×n cube cut into unit cubes, corner cubes (3 faces painted) always number 8, edge cubes (2 faces painted) number 12×(n−2), face cubes (1 face painted) number 6×(n−2)², and completely unpainted interior cubes number (n−2)³.

Common Exam Traps

• Solving seating or ranking puzzles mentally instead of on paper — this is the single biggest cause of avoidable errors in this topic cluster.
• Misreading "left" and "right" in circular seating puzzles when people face the center versus face outward — the direction of facing flips which side is which, so always confirm this from the question before drawing.
• In mirror-image questions, flipping the figure vertically when a horizontal (left-right) flip was required, or vice versa — always identify whether it is a mirror image or a water image before flipping.
• In DI questions, misreading the bar-graph or table scale, especially when gridlines are not in simple multiples of 10.
• Calculating a percentage of the wrong base value — always confirm whether the question asks for a percentage of the whole, of a subgroup, or of a previous answer.
• In cube-cutting problems, forgetting that the corner-cube count is always 8 regardless of cube size, and only edge/face/interior counts change with n.

How to Revise This Chapter Efficiently

For this cluster, timed practice with pen and paper is non-negotiable — reading about these techniques will not build the muscle memory that solving them does. Dedicate separate short sessions to seating arrangements, ranking puzzles, and DI, and always physically draw your diagrams even in practice, since exam-day habits form from practice-day habits. For non-verbal figure series, practice with any available question bank of visual reasoning figures rather than relying on this text alone, since this skill is inherently visual. In your last week, time yourself strictly: aim to solve a six-person seating puzzle within three to four minutes and a five-question DI set within six to seven minutes, since real exam time pressure is often the deciding factor between candidates who know the method and candidates who can execute it fast enough to matter.