Difficulty: Easy
Correct Answer: 28 32
Explanation:
Introduction / Context:Number series questions test recognition of patterns such as constant differences, alternating sequences, and cyclic increments. Here we must extend a mixed pattern to determine the next two terms.
Given Data / Assumptions:
Concept / Approach:Look for local difference patterns and repeated substructures. Many such series use alternating mini-patterns or settle into a steady increment in the tail. Check recent terms first to avoid early noise.
Step-by-Step Solution:
Observe the last four numbers: 12, 16, 22, 20, 24.From 12 to 16: +4.From 16 to 22: +6 (a jump), then 22 to 20: -2, then 20 to 24: +4.The tail now shows a stable +4 step: 20 → 24 is +4.When a series stabilizes to a simple step near the end, extend with the same increment.Next: 24 + 4 = 28.Next after that: 28 + 4 = 32.Verification / Alternative check:Check for contradictions: If we used any other option (for example, 22 next), we would require a sudden -2 that breaks the emerging +4 stride after 20 → 24. The simplest and most consistent continuation is +4, +4.
Why Other Options Are Wrong:
Common Pitfalls:Overfitting the early irregular jumps (+14, -10, +6, -2) and ignoring the most recent consistent behavior can mislead. Always test the last few steps for stability.
Final Answer:28 32
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