General Mental Ability
General Mental Ability for CGPSC CSAT: number and letter series, analogies, puzzles, calendars and clocks — methods, CSAT-style MCQs and speed drills.
Chapter Overview
General Mental Ability (सामान्य मानसिक योग्यता) is the most method-driven block of CGPSC Prelims Paper II (CSAT). Series, analogies, puzzles, calendars and clocks need no outside knowledge — only a fixed routine for each question type, practised until it is automatic. Learn the routine once and these questions become the quickest marks in the paper.
What You’ll Learn
By the end of this chapter, you’ll be able to:
- Crack number and letter series with a five-step check, and solve analogies and odd-one-out questions by naming the relation
- Solve ranking, comparison, grid, counting and painted-cube puzzles with a table or a formula
- Find the day of the week for any date using odd days, and spot repeating calendars
- Find the angle between clock hands, the times when they meet or oppose, mirror images and the true time on a faulty clock
- Answer each standard question type in under a minute
Prerequisites
Before starting this chapter, you should be comfortable with:
- Squares up to 25, cubes up to 12, and the primes below 50
- Division with remainder, fractions and mixed numbers (Class VIII level)
- The arithmetic of Basic Numeracy — percentages and ratios are not needed here, but quick mental calculation is
Learning Path
Follow these topics in order — the first two build pattern-spotting, the last two are formula topics:
graph TD
A[Squares, cubes, primes] --> B[1. Series and Analogies]
B --> C[2. Puzzles]
C --> D[3. Calendars]
D --> E[4. Clocks]
E --> F[Quick Revision sheet]
C -.-> G[Logical Reasoning]
F --> H[Data Interpretation]Topics in This Chapter
| Topic | Description | Time |
|---|---|---|
| Series and Analogies | Number and letter series, wrong-term questions, number/letter/word analogies, odd one out | 12 min |
| Puzzles | Ranking and position, ordering by comparison, grid puzzles, counting puzzles, painted cubes | 12 min |
| Calendars | Odd days, leap years, day of the week for any date, repeating calendars, doomsday shortcut | 10 min |
| Clocks | Angle between hands, coinciding / right-angle / opposite times, mirror images, faulty clocks | 10 min |
| Quick Revision | Every rule and formula from the chapter on one page | 5 min |
Where It Is Asked
| Paper | How mental ability appears |
|---|---|
| Prelims Paper II (CSAT) | Objective MCQs on series, analogies, puzzles, calendars and clocks within the “general mental ability” part of the syllabus. 100 questions, 200 marks, 2 hours. |
| Mains Paper IV (GS-II) | The reasoning-and-mathematics part (Part 2) tests the same skills, where the working — the table, the chain, the odd-day split — counts as well as the answer. |
Mental ability also supports the other CSAT chapters: Logical Reasoning uses the same table-and-chain habits, Data Interpretation rewards the same exact arithmetic, and Decision Making rewards the same calm, step-by-step approach.
Quick Reference
Key Formulas
| Concept | Formula / Fact |
|---|---|
| Series check order | Differences → Ratios → Squares/cubes → Primes → Alternating |
| Letter positions | EJOTY = 5, 10, 15, 20, 25; opposite letter \( = 27 - \) position |
| Total in a row | Left \( + \) Right \( - 1 \) |
| Handshakes / league | \( \frac{n(n-1)}{2} \); knock-out \( n - 1 \) |
| Painted cube | 8 · \( 12(n-2) \) · \( 6(n-2)^2 \) · \( (n-2)^3 \) |
| Odd days | Ordinary year 1, leap year 2; 100 / 200 / 300 / 400 years → 5 / 3 / 1 / 0 |
| Leap year | Divisible by 4; century years only if divisible by 400 |
| Clock angle | \( \lvert 30H - 5.5M \rvert \) |
| Hands \( k \) spaces apart | \( (5H \pm k)\times\frac{12}{11} \) min past \( H \) |
| Mirror image | \( 11{:}60 - \) time |
Exam Focus
- High-yield: difference-table series, letter series, ranking, painted cubes, day of the week for a date, angle between the hands, mirror images.
- Favourite traps: a series rule that fits only two terms, the missing “−1” in ranking, 1900 as a leap year, a frozen hour hand, “24 meetings a day”.
- Speed target: each standard question in under 60 seconds — every topic page ends with a timed speed drill.
Start Learning
Ready to begin? Start with the first topic: