Question

In the following series find correct options at the place of question mark. 2, 4, 12, 6, 12, 36, 18, 36, 108, ?

• A. 72
• B. 54
• C. 90
• D. 108
• E. 75

Hint:

Look for repeating patterns in groups. Multiply by consistent factors within each group.

Answer 1

The Correct Option is B

Step 1: Observe the pattern in groups of three: (2, 4, 12): 2×2=4, 4×3=12. (6, 12, 36): 6×2=12, 12×3=36. (18, 36, 108): 18×2=36, 36×3=108. Next group would start with 54? Actually the pattern: each group starts with a number, then multiply by 2, then multiply by 3. The first number of each group: 2, 6, 18, ? Each is multiplied by 3: 2×3=6, 6×3=18, 18×3=54.
Step 2: So the next group is (54, 108, 324). The question mark is the first of this group? The series ends with 108 (last of third group). The next term is the first of the next group: 54.
Step 3: Final Answer: 54.