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5, 10, 20 : 10, 20, 40 :: 7, 14, 28 : ______

medium Q14 of 15
Reasoning Ability - Analogies
5, 10, 20 : 10, 20, 40 :: 7, 14, 28 : ______
A8, 16, 32
B9, 18, 36
C14, 28, 56
D15, 30, 60
Step-by-Step Solution

  1. Step 1: Identify pattern:

    First pair: each term doubles (×2 rule). 5→10→20 and 10→20→40 both follow ×2.

  2. Step 2: Apply rule:

    Apply same logic to 7,14,28; next sequence must double.

  3. Step 3: Compute new series:

    7×2 = 14, 14×2 = 28, 28×2 = 56 → 14,28,56.

  4. Final Answer:

    14, 28, 56 → Option C

  5. Quick Check:

    ×2 rule holds consistently ✅
Quick Trick: Look for consistent multiplication ratios in geometric progressions.
Common Mistakes:
  • Adding instead of multiplying.
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