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:
| Category | Example |
|---|---|
| Antonyms | Hot : Cold :: Fast : Slow |
| Synonyms | Happy : Joyful :: Sad : Unhappy |
| Degree of intensity | Warm : Hot :: Cool : Cold |
| Scientific study of | Ornithology : Birds :: Entomology : Insects |
| Part to whole | Page : Book :: Chapter : Novel |
| Cause and effect | Fire : Smoke :: Rain : Flood |
| Gender (male-female) | Bull : Cow :: Buck : Doe |
| Young ones | Dog : Puppy :: Cat : Kitten |
| Disease and affected organ | Jaundice : Liver :: Cataract : Eye |
1.4 Important Animal Facts for Analogy
| Animal | Young One | Group | Sound | Home |
|---|---|---|---|---|
| Dog | Puppy | Pack | Bark | Kennel |
| Cat | Kitten | Clowder | Meow | - |
| Horse | Foal | Herd | Neigh | Stable |
| Cow | Calf | Herd | Moo | Barn |
| Lion | Cub | Pride | Roar | Den |
| Rabbit | Kit | Colony | - | Burrow |
| Fish | Fry/Fingerling | School/Shoal | - | - |
| Bee | Larva | Swarm/Colony | Buzz | Hive |
| Goose | Gosling | Flock/Gaggle | Cackle | - |
| Elephant | Calf | Herd | Trumpet | - |
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
- Find what the majority has in common
- Identify what makes one item different
- 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
| Letter | Position | Letter | Position |
|---|---|---|---|
| A | 1 | N | 14 |
| B | 2 | O | 15 |
| C | 3 | P | 16 |
| D | 4 | Q | 17 |
| E | 5 | R | 18 |
| F | 6 | S | 19 |
| G | 7 | T | 20 |
| H | 8 | U | 21 |
| I | 9 | V | 22 |
| J | 10 | W | 23 |
| K | 11 | X | 24 |
| L | 12 | Y | 25 |
| M | 13 | Z | 26 |
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:
- Compare two coded sentences
- Find common words in original sentences → corresponding codes
- 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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