Logical and Analytical Reasoning

Analogy; Classification / Odd One Out; Coding and Decoding

C-CAT

Analogy

1.1 What is Analogy?

Analogy means finding a similar relationship. If A relates to B in a certain way, then C relates to D in the same way.

A : B :: C : D

Read as: "A is to B as C is to D"

1.2 Types of Analogies

Type 1: Object and Action / Function

  • Pen : Write :: Knife : Cut (object → its function)
  • Pencil : Draw :: Scissor : Cut
  • Key : Lock :: Switch : Light

Type 2: Object and Material

  • Shoe : Leather :: Tyre : Rubber
  • Glass : Sand :: Paper : Pulp
  • Shirt : Cotton :: Tire : Rubber

Type 3: Individual and Group/Collection

  • Fish : School :: Birds : Flock
  • Lion : Pride :: Sheep : Flock
  • Bees : Swarm :: Ants : Colony

Type 4: Object and Its Place

  • Library : Books :: Museum : Antiques
  • Student : School :: Customer : Shop
  • Patient : Hospital :: Prisoner : Jail

Type 5: Symbol/Representation

  • Pigeon : Peace :: White Flag : Surrender
  • Dove : Peace :: Lion : Strength
  • Red Cross : Medical Aid :: Green : Environment

Type 6: Worker and Tool

  • Carpenter : Saw :: Barber : Scissors/Razor
  • Farmer : Plough :: Carpenter : Saw
  • Painter : Brush :: Sculptor : Chisel

Type 7: Animal and Dwelling

  • Lion : Den :: Fox : Burrow
  • Dog : Kennel :: Eagle : Eyrie
  • Horse : Stable :: Cow : Barn
  • Bee : Hive :: Ant : Anthill

Type 8: Animal and Sound

  • Dog : Bark :: Cat : Meow
  • Lion : Roar :: Cow : Moo
  • Frog : Croak :: Snake : Hiss
  • Donkey : Bray :: Duck : Quack

Type 9: Object and Related Item

  • Elephant : Howdah :: Horse : Saddle
    • (Howdah = seat on elephant's back; Saddle = seat on horse's back)
  • Planet : Orbit :: Projectile : Trajectory
  • Sphere : Circle :: Cuboid : Rectangle (cross-section/face shape)

Type 10: Science / Subject and Instrument

  • Temperature : Thermometer :: Blood pressure : Sphygmomanometer
  • Sound : Decibel :: Distance : Meter
  • Astronomy : Stars :: Geology : Rocks
  • Entomology : Insects :: Ornithology : Birds

1.3 Approach to Analogy Questions

Step 1: Identify the relationship between the first pair (A:B) Step 2: Apply the SAME relationship to find the answer for (C:?) Step 3: Make sure the relationship category matches exactly (not just loosely)

Key Relationships to Remember:

CategoryExample
AntonymsHot : Cold :: Fast : Slow
SynonymsHappy : Joyful :: Sad : Unhappy
Degree of intensityWarm : Hot :: Cool : Cold
Scientific study ofOrnithology : Birds :: Entomology : Insects
Part to wholePage : Book :: Chapter : Novel
Cause and effectFire : Smoke :: Rain : Flood
Gender (male-female)Bull : Cow :: Buck : Doe
Young onesDog : Puppy :: Cat : Kitten
Disease and affected organJaundice : Liver :: Cataract : Eye

1.4 Important Animal Facts for Analogy

AnimalYoung OneGroupSoundHome
DogPuppyPackBarkKennel
CatKittenClowderMeow-
HorseFoalHerdNeighStable
CowCalfHerdMooBarn
LionCubPrideRoarDen
RabbitKitColony-Burrow
FishFry/FingerlingSchool/Shoal--
BeeLarvaSwarm/ColonyBuzzHive
GooseGoslingFlock/GaggleCackle-
ElephantCalfHerdTrumpet-

Classification / Odd One Out

2.1 Concept

Find the item that does NOT belong to the same group as others.

2.2 Types

Type 1: Different Category

  • Dog, Cat, Cow, Eagle (Eagle is a bird; others are mammals)

Type 2: Different Property

  • 17, 23, 37, 21 (21 = 3×7 is composite; others are prime)

Type 3: Different Relationship

  • 3:27, 4:64, 5:125, 6:46 (others are perfect cubes; 6³ = 216 ≠ 46)

Type 4: Alphabetical Pattern

  • ABCD, EFGH, IJKM, MNOP (IJKM skips L; should be IJKL)

2.3 Strategy

  1. Find what the majority has in common
  2. Identify what makes one item different
  3. The "odd" one must differ from others in a systematic, not random, way

Common Odd-One-Out Tricks

  • Among numbers: check if one is prime vs composite, perfect square, odd vs even
  • Among words: check if one belongs to different semantic field
  • Among letter groups: check if one has different number of vowels, consonants or pattern

Coding and Decoding

3.1 Letter Position in Alphabet

LetterPositionLetterPosition
A1N14
B2O15
C3P16
D4Q17
E5R18
F6S19
G7T20
H8U21
I9V22
J10W23
K11X24
L12Y25
M13Z26

Memory Tricks:

  • EJOTY = 5, 10, 15, 20, 25 (every 5th letter)
  • Reverse position of A = Z (26), B = Y (25), etc.

3.2 Types of Coding

Type 1: Letter Shifting

  • Forward shift: A→D (shift of 3), B→E, etc.
  • Backward shift: Z→W, Y→X, etc.

Example: If COME = FRPH (shift of +3):

  • C(3)→F(6), O(15)→R(18), M(13)→P(16), E(5)→H(8) ✓

Type 2: Reverse Coding

  • A↔Z, B↔Y, C↔X, D↔W, etc. (alphabetical mirror)
  • Position reversal: letter at position p → letter at position (27-p)

Type 3: Number Coding

  • Letters coded as numbers based on position or some formula
  • Example: BOOK = 2+15+15+11 = 43 (sum of positions)
  • Alternatively: BOOK → 2, 15, 15, 11 (direct position mapping)

Formula codes:

  • BOOK coded as 32, FLOWER as 128 → pattern: 2^(number of letters + 1)
    • BOOK (4 letters) = 2^(4+1) = 2^5 = 32 ✓
    • FLOWER (6 letters) = 2^(6+1) = 2^7 = 128 ✓
    • KEYBOARD (8 letters) = 2^9 = 512

Type 4: Symbol Substitution

  • Letters replaced by symbols (+, -, *, @, ...)
  • Identify the pattern from given examples

Type 5: Word/Sentence Coding

  • Specific words in a sentence are coded as given words
  • Identify which code corresponds to which word by cross-referencing two coded sentences

Approach for sentence coding:

  1. Compare two coded sentences
  2. Find common words in original sentences → corresponding codes
  3. By elimination, find code for target word

Type 6: Mixed Coding

  • Combination of shifting, reversal and position tricks
  • Always check: forward shift, backward shift, position number, skip alternate letters

3.3 Important Patterns

Opposite Letter Pairs: A↔Z, B↔Y, C↔X, D↔W, E↔V, F↔U, G↔T, H↔S, I↔R, J↔Q, K↔P, L↔O, M↔N

Skip Alternate Letters:

  • A, C, E, G, I, K, M, O, Q, S, U, W, Y (odd positions)
  • B, D, F, H, J, L, N, P, R, T, V, X, Z (even positions)

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