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Quadratic Equations & Number Series

Topic: 10 Marks Guaranteed Updated: 9 Patterns

Score 10/10 in just 5 minutes! Here is the complete list of patterns used in IKKISH PREP quizzes and real exams.

Part 1: Quadratic Equations

Predict answers using the "Sign Method".

Equation (+bx +c) Roots (Answer)
+, + -, -
-, + +, +
+, - -, + (Small, Big)
-, - +, - (Big, Small)
⚡ CND TRICK

If Constant Terms ('c') are Negative in BOTH equations, answer is always CND (No Relation).

Part 2: Complete Number Series Patterns

1. Difference Series (Slow Gap)

Logic: +5, +10, +15... OR +2, +4, +6... (Even/Odd)

Ex: 12, 19, 28, 39, ? (Gap is +7, +9, +11 → Next +13) → 52
2. Multiplication Series (Fast Gap)

Logic: ×2, ×3, ×4... OR ×2+1, ×3+1...

Ex: 3, 6, 18, 72, ? (×2, ×3, ×4 → Next ×5) → 360
3. The "Decimal" Series (×0.5 Pattern)

Most Important! If numbers decrease then increase (e.g. 12, 6, 6...).

Ex: 8, 4, 4, 6, 12, ?
Logic: 8×0.5=4, 4×1=4, 4×1.5=6, 6×2=12.
Next: 12 × 2.5 → 30
4. Prime Number Series

Logic: Gap is Prime (2, 3, 5, 7, 11, 13...). NOT Odd numbers.

Ex: 10, 12, 15, 20, 27, ?
Diff: +2, +3, +5, +7... (Next Prime is 11)
Answer: 27 + 11 → 38
5. Double Difference

When the first difference makes no sense, take difference again.

Ex: 10, 15, 27, 48, 80, ? (Diff of Diff is constant or pattern).
6. Square/Cube Pattern

Logic: Numbers are near Squares/Cubes.

Ex: 126, 217, 344, ?
Logic: 5³+1, 6³+1, 7³+1... Next 8³+1 (512+1) → 513
7. The "n² + n" Pattern

Numbers like 12, 20, 30, 42, 56.

Logic: 3²+3, 4²+4, 5²+5...
Ex: 30, 42, 56, ? (5²+5, 6²+6, 7²+7 → Next 8²+8) → 72
8. Alternate Series

Small-Big-Small-Big numbers. Two series mixed together.

Ex: 60, 10, 55, 12, 50, ? (60,55,50... and 10,12,14...)
9. Hybrid Series

Logic: ×2-1, ×2-2, ×2-3...

Ex: 5, 9, 16, 29, ? (5×2-1, 9×2-2, 16×2-3...) → 54

Practice these patterns on "Hard Level"!

Start Practice