Reasoning
Number & Letter Series Guide & Practice
Master arithmetic, geometric, alternating, Fibonacci, and letter series pattern recognition with explanations, shortcuts and mock sets. Explore dynamic solver blueprints, master fundamental equations, examine step-by-step solved examples, and practice with real exam-grade mock test sets.
Foundation & Concepts
1. Letter Series Foundation
- Alphabetical Positions: Standard (A=1...Z=26).
- EJOTY Concept: E=5, J=10, O=15, T=20, Y=25. Helps locate any letter quickly.
- RHS Counting: To find the position of a letter from the Right Hand Side (Z to A), use:
27 - (Position from Left).- Example: The 10th letter from the left (J) is the (27-10) = 17th letter from the right.
- Central Letter: To find the middle letter between two positions from the same side, take the average of their positions.
- Example: Middle of 12th (L) and 20th (T) is (12+20)/2 = 16th (P).
2. Number Series Foundation
- Sequence: A set of numbers following a specific mathematical rule.
- Common Logic:
- Addition/Subtraction (Constant or increasing/decreasing difference).
- Multiplication/Division.
- Squares and Cubes (n², n³, n²+1, etc.).
- Fibonacci (Sum of previous two terms).
Patterns/Rules
- Arithmetic Series: Difference between consecutive terms is constant.
- Geometric Series: Each term is multiplied/divided by a constant factor.
- Alternating Series: Two or more different patterns running in parallel (e.g., terms 1, 3, 5 follow one rule; terms 2, 4, 6 follow another).
- Mixed Operator: Using multiple operations, e.g.,
(Term * 2) + 3. - Letter Clusters: Patterns applied to groups of letters (e.g., SCD, TEF, UGH...).
- Continuous Pattern Series: Small letters with blanks that form a repeating rhythmic pattern (e.g.,
abc_bc_ab_).
Solved Examples
1Solved Example
EasyQ1. Complete the series: 3, 6, 11, 18, 27, ?
2Solved Example
ModerateQ3. Complete the series: SCD, TEF, UGH, ____, WKL
3Solved Example
HardQ6. Which set of letters completes the pattern? ab_accab_acc_bba_cabba_c
- Options: (a) bcabb, (b) acbcc, (c) bbacc, (d) bcbba