Intelligence • Class 6 Appendix-II Item 3 150 Mins Overall

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.

Official Syllabus Coverage Breakdown
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.
1. Verbal Word Classification: Taxonomy, Geography & Science
  • 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 PropertyWhy the Outlier Fails
Whale, Bat, DolphinSharkWarm-blooded MammalsShark is a cartilaginous Fish (lays eggs, gills)
Copper, Silver, GoldCoalMetallic conductors of electricityCoal is a carbonaceous non-metal mineral
Kathak, Bharatanatyam, OdissiBhangraClassical Indian Dance formsBhangra is a regional Folk Dance of Punjab
New Delhi, Tokyo, ParisNew YorkSovereign National CapitalsNew York is a major city, NOT a national capital
Carrot, Radish, BeetrootTomatoUnderground edible rootsTomato is an above-ground botanical fruit
Cube, Cuboid, SphereSquareThree-dimensional (3D) solid figuresSquare is a two-dimensional (2D) plane figure
Cadet Mnemonic • Bat & Whale Mammal Anchor

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).
Exam Trick • Speed Shortcut
In botanical questions, check: 'Does it grow underground or above ground?' Carrot, radish, ginger, potato grow underground; tomato, cabbage, brinjal grow above ground.
AISSEE Trap Alert • Common Confusion

'Tomato' is scientifically a fruit, not a vegetable! 'Potato' is an underground stem (tuber), while 'Carrot' is a taproot.

2. Numerical Classification & Mathematical Properties
  • 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 RankMathematical PropertyHow to Verify in 5 SecondsSample ProblemOdd One Out
1. Prime StatusHas only 1 and itself as factorsTest primes up to √n43, 47, 53, 5757 (57 = 3 × 19, composite)
2. Perfect PowersSquares (n²) or Cubes (n³)Match against known squares/cubes16, 36, 64, 8181 (odd) or 64 (cube and square)
3. Power Shiftsn² ± 1 or n³ ± 1Check neighbors (+1 or -1)26, 37, 50, 6565 (65 = 4³+1 or 8²+1)
4. DivisibilityDivisible by 7, 11, or 13Quick division / digit test143, 169, 182, 195169 (13²; others not squares)
5. Sum of DigitsSum of all digits = constantAdd digits: a + b + c324, 441, 513, 623623 (Sum=11; others sum=9)
Cadet Mnemonic • P-P-D-S Priority Sequence

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.
Exam Trick • Speed Shortcut
Always check 51, 57, 87, 91! Students often mistake them for primes, but: $51 = 3 imes 17$, $57 = 3 imes 19$, $87 = 3 imes 29$, and $91 = 7 imes 13$!
AISSEE Trap Alert • Common Confusion

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).

3. Letter Cluster & Alphabetical Classification
  • 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 TypeThree Conforming ClustersOdd One ClusterGoverning Rule Explained
Equal Forward SkipsACE (+2), GIK (+2), MOQ (+2)PRT (+2)All conform to +2; look for +3 anomaly
Skip AnomalyDFH (+2), JLM (+2, +1), PRT (+2)JLMJLM has +2 then +1 (L to M), others uniform +2
Vowel CountBEK (1 vowel), DOP (1 vowel), TUS (1 vowel)XYZ (0 vowels)XYZ contains zero vowels; others have exactly one
Opposite PairsAZ-BY, CX-DW, EV-FUGT-IRCheck pairs; if one has non-opposite pair like HS-KP
Reverse DirectionZYX (-1), VUT (-1), QPO (-1)KLM (+1)KLM moves forward (+1); others move backward (-1)
Cadet Mnemonic • G-V-O Letter Check

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.
Exam Trick • Speed Shortcut
Convert letters to numbers immediately using EJOTY ($E=5, J=10, O=15, T=20, Y=25$). Working with numbers (e.g. 2, 4, 6) is 5 times faster than reciting the alphabet in your head.
4. Figural & Non-Verbal Classification
  • 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 FeatureThree Standard OptionsThe Outlier FigureDiagnostic Visual Test
Boundary EnclosureSquare, Circle, TriangleOpen U-shapeCan water leak out? Enclosed vs Open
Line Segment CountRectangle (4), Rhombus (4), Trapezium (4)Pentagon (5)Count the outer boundary lines
Internal DivisionsDivided into 4 equal quadrantsDivided into 3 sectionsCount internal sub-regions
Pinwheel RotationAll 3 curve Clockwise1 curves Counter-ClockwiseTrack rotation chirality of arms
Number of DotsNumber of dots = Number of sidesDots ≠ SidesVerify dots to vertices ratio
Cadet Mnemonic • The S-C-O-P-E Figural Test

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.
Exam Trick • Speed Shortcut
Rotate all figures in your mind so their main feature points upward. Once oriented identically, the odd one out immediately stands out!
Visual Concept Blueprint • Vector Architecture
CLASSIFICATION (ODD ONE OUT): 3 BELONG TO SAME RULE, 1 DIFFERS Square4 Sides Rectangle4 Sides Rhombus4 Sides TriangleODD ONE OUT!3 Sides (Not 4)

Speed Shortcuts & Mental Calculation Strategies

Master these high-yield time-saving heuristics curated by top AISSEE scorers to eliminate calculation bottlenecks and answer questions in under 45 seconds.

Shortcut Technique 1: The Unifying Criterion Rule

Shortcut Technique 2: The Prime Number Priority Protocol

Shortcut Technique 3: The Numerical Rank Translation

Interactive 3D Revision Flashcards Deck

Click any card to flip and reveal the key exam rule or topper secret.

REVISION FLASHCARD
Why is a Bat classified with a Whale and not a Bird?
CADET MEMORY KEY
Both Bats and Whales are MAMMALS: they are warm-blooded, give birth to live young, and nurse them with milk. Birds lay eggs and have feathers.
REVISION FLASHCARD
What are the common deceptive composite numbers often mistaken for primes?
CADET MEMORY KEY
51 (3 × 17), 57 (3 × 19), 87 (3 × 29), and 91 (7 × 13).
REVISION FLASHCARD
What is the priority order for number classification in AISSEE?
CADET MEMORY KEY
Prime status -> Squares and Cubes -> Divisibility -> Digit sums -> Parity (even/odd).
REVISION FLASHCARD
Why is New York the odd one out among Tokyo, Paris, New Delhi, and New York?
CADET MEMORY KEY
Tokyo, Paris, and New Delhi are sovereign NATIONAL CAPITALS. New York is not a national capital (Washington D.C. is the capital of the USA).
REVISION FLASHCARD
What is the first step in solving letter group classification?
CADET MEMORY KEY
Convert letters to numbers using EJOTY and calculate differences between consecutive letters to find the gap anomaly.
Common Traps & Examination Pitfalls

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

Prime Number Invariance Condition
$$\text{Factors}(n) = \{1, n\} \quad \longleftrightarrow \quad \text{Composite}(n) \implies \text{Factors} > 2$$
Letter Cluster Step Equation
$$\Delta_1 = \text{Rank}(L_2) - \text{Rank}(L_1), \quad \Delta_2 = \text{Rank}(L_3) - \text{Rank}(L_2)$$
Step-by-Step Solved Examination Models
Solved Example 1 Model Problem
Find the odd one out: Whale, Shark, Dolphin, Bat
(A) A) Whale
(B) B) Shark
(C) C) Dolphin
(D) D) Bat
Detailed Solution:
Solved Example 2 Model Problem
Identify the odd one out among: 43, 53, 63, 73
(A) A) 43
(B) B) 53
(C) C) 63
(D) D) 73
Detailed Solution:
Solved Example 3 Model Problem
Find the odd letter group: BDF, HJL, PRT, KMN
(A) A) BDF
(B) B) HJL
(C) C) PRT
(D) D) KMN
Detailed Solution:

AISSEE High-Yield Practice Drills (10 Questions)

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Question 1 of 10 Exam Standard
Find the odd one out: Gold, Silver, Copper, Diamond
Correct Answer: Option (A)
Gold, Silver, and Copper are metallic chemical elements; Diamond is an allotrope of carbon (non-metal).
Question 2 of 10 Exam Standard
Identify the odd number: 29, 37, 47, 57
Correct Answer: Option (A)
29, 37, and 47 are prime numbers; 57 is composite ($57 = 3 \times 19$).
Question 3 of 10 Exam Standard
Choose the odd one out: New Delhi, Paris, Tokyo, New York
Correct Answer: Option (A)
New Delhi (India), Paris (France), and Tokyo (Japan) are national capitals; New York is not a capital.
Question 4 of 10 Exam Standard
Find the odd letter group: CEG, IKM, OQS, UWZ
Correct Answer: Option (A)
CEG, IKM, and OQS have consecutive differences of +2. In UWZ: U(21) +2 = W(23), but W(23) +3 = Z(26).
Question 5 of 10 Exam Standard
Which of the following is the odd one out? Carrot, Radish, Potato, Tomato
Correct Answer: Option (A)
Carrot, Radish, and Potato grow underground; Tomato grows above ground and is a fruit.
Question 6 of 10 Exam Standard
Find the odd number: 125, 216, 343, 512
Correct Answer: Option (A)
216 ($6^3 = 216$) is divisible by 6, but specifically 216 has digit sum 9; or 343 is odd while others are even/odd cubes. Better: 343 ($7^3$) is prime base, 125 ($5^3$), 512 ($8^3$). Another standard test: 64 is both square and cube.
Question 7 of 10 Exam Standard
Identify the odd one: Eye, Nose, Ear, Kidney
Correct Answer: Option (A)
Eye, Nose, and Ear are external sensory organs; Kidney is an internal organ.
Question 8 of 10 Exam Standard
Find the odd one out: Circle, Triangle, Square, Rectangle
Correct Answer: Option (A)
Triangle, Square, and Rectangle are rectilinear polygons formed by straight lines; Circle is a curved figure.
Question 9 of 10 Exam Standard
Choose the odd number: 11, 13, 17, 21
Correct Answer: Option (A)
11, 13, and 17 are prime numbers; 21 is composite ($3 \times 7$).
Question 10 of 10 Exam Standard
Find the odd one out: Mercury, Venus, Earth, Moon
Correct Answer: Option (A)
Mercury, Venus, and Earth are planets orbiting the Sun; Moon is a natural satellite orbiting Earth.

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Frequently Asked Questions
Why is parity (even/odd) the least preferred rule?
In competitive exams, simple even/odd parity is considered a low-level pattern. Higher-order mathematical rules like prime numbers, squares, and divisibility always take priority.
Is Australia a continent or a country?
Australia is unique as it is both an island continent and a sovereign country. Context reveals whether it is grouped with continents or nations.
Why is Diamond a non-metal?
Diamond is a crystalline allotrope of carbon. Since carbon is a non-metal, diamond is classified as a non-metal despite its extreme hardness.