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ExamsSSC CGL (Prelims)General

Identify the missing number following the same pattern: 12 : 16 :: 18 : ? :: 24 : 64

  1. 26
  2. 32
  3. 28
  4. 36

Correct answer: 36

Solution

Pattern: 12 → 16 (×4/3); 24 → 64 (×8/3). The first numbers are 12, 18, 24 (AP with d=6). The second numbers follow: 16, ?, 64. Note 16 = (4/3)×12 and 64 = (8/3)×24. Alternatively, observe 16 = 4², 64 = 8²; 12/3=4, 24/3=8, 18/3=6, 6²=36. The missing value is 36.

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