Page 6 – Quant (Number Series)
Problem • Step-wise Solution • Pattern Tricks
Q1. 2, 6, 12, 20, ?
Step 1: Find difference
6-2 = 4
12-6 = 6
20-12 = 8
Step 2: Pattern
+4, +6, +8 → increasing by 2
Step 3: Next difference
+10
Step 4: Add
20 + 10 = 30
Answer: 30
Trick: Check difference first
Q2. 3, 9, 27, ?
Step 1: Check multiplication
3 × 3 = 9
9 × 3 = 27
Step 2: Pattern
×3
Step 3: Next value
27 × 3 = 81
Answer: 81
Trick: Check multiplication pattern
Q3. 5, 10, 20, 40, ?
Step 1: Check pattern
×2
Step 2: Continue
40 × 2 = 80
Answer: 80
Trick: Doubling pattern
Q4. 1, 4, 9, 16, ?
Step 1: Identify pattern
1², 2², 3², 4²
Step 2: Next term
5² = 25
Answer: 25
Trick: Square numbers
Q5. 2, 5, 11, 23, ?
Step 1: Check pattern
2×2+1 = 5
5×2+1 = 11
11×2+1 = 23
Step 2: Continue pattern
23×2+1 = 47
Answer: 47
Trick: Multiply + Add pattern
Common Patterns
- Difference (+, -)
- Multiplication (×)
- Squares (n²)
- Cubes (n³)
- Mixed patterns
Shortcut Approach
Step 1: Check difference
Step 2: Check multiplication
Step 3: Check square/cube
Step 4: Check mixed pattern
Final Tip
Start simple → then move to complex pattern
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