Difficulty: Easy
Correct Answer: 15
Explanation:
Introduction / Context:
Many reasoning sequences repeat each term twice. Detecting this duplication pattern quickly reveals the missing entry. Here we test that recognition skill.
Given Data / Assumptions:
Concept / Approach:
Check for immediate repetition. If terms 3–4 and 5–6 are identical pairs (27, 27) and (39, 39), then terms 1–2 should also form (15, 15). Thus the blank is simply a copy of the preceding number.
Step-by-Step Solution:
Verification / Alternative check:
The sequence follows a “repeat twice” template: a, a, b, b, c, c, … . Plugging in 15 for the blank yields (15, 15, 27, 27, 39, 39), which perfectly fits the observed pattern.
Why Other Options Are Wrong:
39 and 51 would break the starter pair duplication. 23 introduces an arbitrary value with no supporting rule. The simplest, most consistent explanation is direct repetition.
Common Pitfalls:
Overcomplicating with unnecessary arithmetic progressions or ratios. First scan for simple structures like duplication before testing complex rules.
Final Answer:
15
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