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2, 6, 18 : 3, 9, 27 :: 4, 12, 36 : ______

hard Q9 of 15
Reasoning Ability - Analogies
2, 6, 18 : 3, 9, 27 :: 4, 12, 36 : ______
A5, 15, 45
B6, 18, 54
C7, 21, 63
D8, 24, 72
Step-by-Step Solution
  1. Step 1: Identify pattern:

    2,6,18 → 3,9,27 follows start +1 and ×3 rule.
  2. Step 2: Apply rule:

    4,12,36 → start +1 → 5; apply ×3 pattern → 5,15,45.
  3. Final Answer:

    5, 15, 45 → Option A
  4. Quick Check:

    Start +1 and ×3 consistent ✅
Quick Trick: For geometric series, identify the multiplier and apply the same start increment across pairs.
Common Mistakes:
  • Confusing additive with multiplicative patterns or changing the multiplier incorrectly.
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