Classification (Odd One Out)
Comprehensive AISSEE Class 6 Intelligence guide for Classification (Odd One Out). Covers word classification, prime numbers vs composites, digit sum divisibility, letter cluster intervals, figural symmetry, solved models, and 10 practice drills.
Overview & Fundamental Concept
Comprehensive AISSEE Class 6 Intelligence guide for Classification (Odd One Out). Covers word classification, prime numbers vs composites, digit sum divisibility, letter cluster intervals, figural symmetry, solved models, and 10 practice drills.
| Syllabus Item | Prescribed Scope | Exam Relevance & Pedagogical Objective |
|---|---|---|
| Item 3 | Word classification (biological taxonomy, geography, physical states), number classification (prime/composite, parity, square/cube, divisibility), letter group classification (vowels, gaps, reverse pairs), and figural odd-one-out (symmetry, closed/open). | Identify the common governing property that unites three options and isolate the unique non-conforming outlier with 100% logical precision. |
- Classification (Odd One Out) requires analyzing four given terms, discovering the single unifying property shared by three of them, and identifying the one term that does NOT belong to this group.
- 1. Biological Taxonomy (Animal & Plant Kingdoms):
- • Mammals vs Non-Mammals: Bat, Whale, Dolphin, Human are Mammals (give live birth, produce milk). Frog (Amphibian), Snake (Reptile), Eagle (Bird) are non-mammals. (Bat is NOT a bird; Whale is NOT a fish!).
- • Herbivores vs Carnivores vs Omnivores: Cow, Deer, Goat (Herbivores) vs Lion, Tiger, Leopard (Carnivores).
- • Amphibians vs Reptiles: Frog, Toad, Salamander (Amphibians) vs Lizard, Snake, Crocodile, Turtle (Reptiles).
- 2. Geographical Categories:
- • Continents vs Countries vs Oceans: Asia, Africa, Europe (Continents) vs Australia (both) vs Pacific (Ocean).
- • Landlocked vs Coastal Nations / States: Nepal, Bhutan, Switzerland (Landlocked) vs India, Sri Lanka (Coastal).
- • Rivers vs Lakes vs Seas: Nile, Amazon, Ganga (Flowing rivers) vs Caspian, Superior (Lakes).
- 3. Physical Science & Materials:
- • Metals vs Non-Metals: Iron, Copper, Gold, Silver (Metals) vs Carbon, Oxygen, Sulphur (Non-metals).
- • Mercury Anomaly: Mercury is the ONLY metal that is liquid at room temperature; Bromine is the only liquid non-metal.
| Group Options (3 Members) | Outlier Option (Odd One) | Shared Unifying Property | Why the Outlier Fails |
|---|---|---|---|
| Whale, Bat, Dolphin | Shark | Warm-blooded Mammals | Shark is a cartilaginous Fish (lays eggs, gills) |
| Copper, Silver, Gold | Coal | Metallic conductors of electricity | Coal is a carbonaceous non-metal mineral |
| Kathak, Bharatanatyam, Odissi | Bhangra | Classical Indian Dance forms | Bhangra is a regional Folk Dance of Punjab |
| New Delhi, Tokyo, Paris | New York | Sovereign National Capitals | New York is a major city, NOT a national capital |
| Carrot, Radish, Beetroot | Tomato | Underground edible roots | Tomato is an above-ground botanical fruit |
| Cube, Cuboid, Sphere | Square | Three-dimensional (3D) solid figures | Square is a two-dimensional (2D) plane figure |
WHALES swim and BATS fly, but both give BIRTH and MILK supply!
- Bat = Mammal (not a bird!).
- Whale = Mammal (not a fish!).
- Dolphin = Mammal (breathes air with lungs).
'Tomato' is scientifically a fruit, not a vegetable! 'Potato' is an underground stem (tuber), while 'Carrot' is a taproot.
- Numerical classification tests fundamental arithmetic and algebraic number theory properties:
- 1. Prime vs Composite Number Test (Examiners' Top Choice!):
- • Primes: Numbers with exactly two factors (1 and itself): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
- • Example: Among 29, 31, 37, 39 -> 39 is the odd one because $39 = 3 imes 13$ (composite), while the others are primes.
- 2. Powers: Perfect Squares and Perfect Cubes:
- • Example: 64, 125, 216, 343 -> 64 is both a square ($8^2$) and a cube ($4^3$). But 125 ($5^3$), 216 ($6^3$), 343 ($7^3$) are pure cubes.
- 3. Divisibility Rules & Digital Sums:
- • Divisibility by 3 or 9: Sum of digits is divisible by 3 or 9.
- • Divisibility by 11: Difference between sum of odd-place digits and sum of even-place digits is 0 or multiple of 11.
- 4. Even / Odd Parity: Least preferred rule; only use if prime, power, and divisibility patterns fail.
| Priority Rank | Mathematical Property | How to Verify in 5 Seconds | Sample Problem | Odd One Out |
|---|---|---|---|---|
| 1. Prime Status | Has only 1 and itself as factors | Test primes up to √n | 43, 47, 53, 57 | 57 (57 = 3 × 19, composite) |
| 2. Perfect Powers | Squares (n²) or Cubes (n³) | Match against known squares/cubes | 16, 36, 64, 81 | 81 (odd) or 64 (cube and square) |
| 3. Power Shifts | n² ± 1 or n³ ± 1 | Check neighbors (+1 or -1) | 26, 37, 50, 65 | 65 (65 = 4³+1 or 8²+1) |
| 4. Divisibility | Divisible by 7, 11, or 13 | Quick division / digit test | 143, 169, 182, 195 | 169 (13²; others not squares) |
| 5. Sum of Digits | Sum of all digits = constant | Add digits: a + b + c | 324, 441, 513, 623 | 623 (Sum=11; others sum=9) |
P - Prime, P - Power, D - Divisibility, S - Sum of digits!
- 1. Check if 3 are primes and 1 is composite.
- 2. Check if 3 are perfect squares or cubes.
- 3. Check divisibility by 3, 7, 11.
- 4. Check sum of digits.
Never choose an option just because 'it is the only odd number' if a prime or square rule exists. Mathematical properties (prime/square) take strict priority over simple parity (even/odd).
- Letter group classification questions present four 3-letter or 4-letter clusters (e.g. BDF, HJL, PRT, WYA):
- 1. Positional Interval / Skip Patterns: Compute the difference between consecutive letters using their forward ranks:
- • BDF: $B(2) \xrightarrow{} D(4) \xrightarrow{} F(6)$ (Consistent $+2$ pattern).
- • HJL: $H(8) \xrightarrow{} J(10) \xrightarrow{} L(12)$ ($+2$ pattern).
- • PRT: $P(16) \xrightarrow{} R(18) \xrightarrow{} T(20)$ ($+2$ pattern).
- • WYA: $W(23) \xrightarrow{} Y(25) \xrightarrow{} A(1/27)$ ($+2$ pattern).
- 2. Vowel-Consonant Distribution:
- • Check the presence and number of vowels ($A, E, I, O, U$). A cluster with zero vowels or two vowels stands out as the odd one.
- 3. Reverse Opposite Pair Clusters:
- • Clusters formed by reverse pairs: $AZ, BY, CX, DW$. If one cluster is $EV$ and another is $HS$, an option like $JK$ (not a pair) is the outlier.
- 4. Cumulative Rank Sums: The sum of letter ranks in three options equals an even number or a specific multiple.
| Group Type | Three Conforming Clusters | Odd One Cluster | Governing Rule Explained |
|---|---|---|---|
| Equal Forward Skips | ACE (+2), GIK (+2), MOQ (+2) | PRT (+2) | All conform to +2; look for +3 anomaly |
| Skip Anomaly | DFH (+2), JLM (+2, +1), PRT (+2) | JLM | JLM has +2 then +1 (L to M), others uniform +2 |
| Vowel Count | BEK (1 vowel), DOP (1 vowel), TUS (1 vowel) | XYZ (0 vowels) | XYZ contains zero vowels; others have exactly one |
| Opposite Pairs | AZ-BY, CX-DW, EV-FU | GT-IR | Check pairs; if one has non-opposite pair like HS-KP |
| Reverse Direction | ZYX (-1), VUT (-1), QPO (-1) | KLM (+1) | KLM moves forward (+1); others move backward (-1) |
G - Gaps (+2, +3), V - Vowels (count), O - Opposites (sum to 27)!
- First write numerical ranks under each letter.
- Subtract rank 1 from rank 2, rank 2 from rank 3.
- Find the cluster with mismatched differences.
- In non-verbal classification, four geometric figures are presented, and the unique outlier must be identified:
- 1. Lines of Symmetry Test: Count axes of reflective symmetry. A circle has infinite; a square has 4; an equilateral triangle has 3; a scalene triangle has 0.
- 2. Closed vs Open Figures: Three figures are completely enclosed polygons, while one has a tiny opening or disconnected boundary.
- 3. Number of Component Line Segments: Count the lines forming each figure (e.g. three figures have 4 lines, one has 5 lines).
- 4. Rotational Chirality (Clockwise vs Counter-Clockwise): Arrows or pinwheels rotating CW vs CCW.
- 5. Shading / Partition Symmetry: Symmetrical bisecting line vs asymmetrical partition.
| Figural Feature | Three Standard Options | The Outlier Figure | Diagnostic Visual Test |
|---|---|---|---|
| Boundary Enclosure | Square, Circle, Triangle | Open U-shape | Can water leak out? Enclosed vs Open |
| Line Segment Count | Rectangle (4), Rhombus (4), Trapezium (4) | Pentagon (5) | Count the outer boundary lines |
| Internal Divisions | Divided into 4 equal quadrants | Divided into 3 sections | Count internal sub-regions |
| Pinwheel Rotation | All 3 curve Clockwise | 1 curves Counter-Clockwise | Track rotation chirality of arms |
| Number of Dots | Number of dots = Number of sides | Dots ≠ Sides | Verify dots to vertices ratio |
S - Symmetry, C - Closed/Open, O - Orientation (CW/CCW), P - Parts count, E - Edge count!
- S: Lines of symmetry.
- C: Fully closed or open?
- O: Rotating CW or CCW?
- P: Number of parts/dots.
- E: Number of edges/sides.
Speed Shortcuts & Mental Calculation Strategies
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Click any card to flip and reveal the key exam rule or topper secret.
Avoid the Speed-Guess Trap: Under AISSEE pressure, candidates frequently misread units (e.g., mixing metres and centimetres, or per hour and per second) and confuse complementary ($90^\circ$) with supplementary ($180^\circ$) angles. Read every stem carefully and check units before selecting your OMR option.
Key Identities & Formulas
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