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3, 6, 9 : 4, 8, 12 :: 5, 10, 15 : ______

easy Q11 of 15
Reasoning Ability - Analogies
3, 6, 9 : 4, 8, 12 :: 5, 10, 15 : ______
A6, 12, 18
B7, 14, 21
C8, 16, 24
D9, 18, 27
Step-by-Step Solution
  1. Step 1: Identify pattern:

    Series1a = 3, 6, 9 → start = 3, diff = +3; Series1b = 4, 8, 12 → start = 4, diff = +4.
  2. Step 2: Apply rule:

    The rule is start +1 and diff +1.
  3. Step 3: Compute new series:

    Series2a = 5, 10, 15 → start = 5, diff = +5 → apply start +1 = 6; diff +1 = +6 → 6, 12, 18.
  4. Final Answer:

    6, 12, 18 → Option A
  5. Quick Check:

    Same structural rule (Start +1, Diff +1) holds ✅
Quick Trick: When both sequences are arithmetic, compare the first term and difference.
Common Mistakes:
  • Confusing common difference with a multiplication rule.
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