Classification (Odd One Out)
Subject: Mental Ability | Frequency: 2-3 questions per APPSC paper | Time: 30-45 sec/question
Introduction
Classification questions present 4-5 items where all but one share a common property. You must find the odd one out. APPSC favours category-based (fruits, planets) and number-based (prime, square) classifications. The key skill is checking multiple classification bases before answering.
Core Method
- Read all options carefully — understand each item
- Identify the common property — what do 3 or 4 items share?
- Find the exception — which item does NOT share this property?
- Verify — confirm ALL other items fit and ONLY the odd one doesn't
- Check alternative bases — if multiple classifications exist, pick the most logical one
Types with Examples
| Classification Basis | Example | Odd One | Why |
|---|---|---|---|
| Category | Apple, Mango, Potato, Banana | Potato | Others are fruits |
| Mathematical (prime) | 2, 5, 11, 14, 17 | 14 | Others are prime |
| Mathematical (square) | 1, 4, 9, 15, 25 | 15 | Others are perfect squares |
| Mathematical (cube) | 8, 27, 64, 100, 125 | 100 | Others are cubes |
| Physical activity | Cricket, Football, Chess, Hockey | Chess | Others are outdoor sports |
| Astronomical | Mercury, Venus, Moon, Jupiter | Moon | Others are planets |
| Calendar | Jan, March, June, July, August | June | Others have 31 days |
| Letter pattern | AZ, BY, CX, DW, EU | EU | Others sum to 27 |
| Linguistic | AB, CD, EF, GI | GI | Others are consecutive pairs |
Worked Examples — Easy
Q1: Apple, Mango, Potato, Banana
- Apple, Mango, Banana = fruits; Potato = vegetable
- Answer: Potato
Q2: 2, 5, 11, 14, 17
- 2, 5, 11, 17 are prime; 14 = 2 x 7 (not prime)
- Answer: 14
Q3: Cricket, Football, Chess, Hockey
- Cricket, Football, Hockey = outdoor/physical sports; Chess = indoor board game
- Answer: Chess
Worked Examples — Medium
Q4: 1, 4, 9, 15, 25, 36
- 1=1², 4=2², 9=3², 25=5², 36=6²; 15 is NOT a perfect square
- Answer: 15
Q5: AZ, BY, CX, DW, EU
- A(1)+Z(26)=27, B(2)+Y(25)=27, C(3)+X(24)=27, D(4)+W(23)=27
- E(5)+U(21)=26 — does NOT sum to 27
- Answer: EU (should be EV)
Q6: Mercury, Venus, Moon, Jupiter, Saturn
- Mercury, Venus, Jupiter, Saturn = planets; Moon = satellite
- Answer: Moon
Worked Examples — Hard
Q7: 121, 169, 196, 225
- 121=11², 169=13², 196=14², 225=15²
- Pattern: squares of 11, 13, 15 are odd numbers; 14 breaks the odd-number sequence
- Answer: 196 (14² breaks the odd-number square pattern)
Q8: 8, 27, 64, 100, 125
- 8=2³, 27=3³, 64=4³, 125=5³; but 100=10² (not a cube)
- Answer: 100
Q9: BDFI, CEGJ, DFHK, EGIL
- Expected pattern: +2, +2, +2 within each group
- CEGJ: C(3),E(5),G(7),J(10) — gaps 2,2,3 (last gap breaks)
- BDFI: B(2),D(4),F(6),I(9) — gaps 2,2,3 (also breaks)
- But BDFI is the one that should be BDFH — last letter breaks the +2 pattern
- Answer: BDFI
Shortcuts & Tricks
| Shortcut | When to Use |
|---|---|
| Category first | Check if items belong to the same semantic group |
| Prime check | For number groups, immediately test for primality |
| Square/cube check | Test if numbers are perfect squares or cubes |
| Sum of letters | For alphabet groups, convert to numbers and check sums |
| Even/odd positions | In letter groups, check if positions are all even or all odd |
| GK recall | Memorize common groups: planets, continents, oceans |
Common Mistakes
- Jumping to the first pattern noticed — always check if a BETTER classification exists
- Ignoring mathematical properties — not checking prime, square, cube for number groups
- GK gaps — not knowing which item belongs to which category
- Alphabet position errors — miscounting letter positions, especially after J=10
- Not verifying all items — confirming only 2-3 items fit instead of all remaining ones
Exam Strategy
- First check category, then mathematical property, then linguistic pattern — this order covers 90%+ of questions
- APPSC keeps difficulty at easy-to-medium
- Time: 30-45 seconds per question
- If two bases seem equally valid, the more fundamental one (category > math > linguistic) is usually the intended answer
- Negative marking: -0.333 — skip if genuinely confused between two items
Practice Questions
- Rose, Lily, Dog, Jasmine → Dog (others are flowers)
- 2, 3, 5, 9, 11 → 9 (others are prime)
- January, March, June, July → June (others have 31 days)
- 4, 9, 16, 25, 32 → 32 (others are perfect squares)
- Pen, Pencil, Eraser, Hammer → Hammer (others are stationery)
Key Terms / Formulas
| Term | Meaning |
|---|---|
| Classification | Grouping items by a common property |
| Odd one out | The item that does NOT share the group's property |
| Prime number | Divisible only by 1 and itself |
| Perfect square | n² (1, 4, 9, 16, 25...) |
| Perfect cube | n³ (1, 8, 27, 64, 125...) |
| EJOTY | E=5, J=10, O=15, T=20, Y=25 |