Difficulty: Medium
Correct Answer: (3, 21, 24)
Explanation:
Introduction / Context:Triplet-pattern questions ask you to infer a relation that links the three numbers, then select another triplet that follows the same relation.
Given Data / Assumptions:Reference triplet: (2, 14, 16). The structure often follows (n, 7n, 8n) or (n, n×k, n×(k+1)) in this family.
Concept / Approach:If we set n = 2, then 7n = 14 and 8n = 16. So the underlying rule is (n, 7n, 8n). We must pick the option that matches this pattern for some n.
Step-by-Step Solution:
1) Identify n from the given: n = 2. 2) Verify: (2, 7*2, 8*2) = (2, 14, 16) ✔. 3) Test options for form (n, 7n, 8n): (3, 21, 24) fits with n = 3.Verification / Alternative check:Check other options: none exactly match the 7n/8n structure.
Why Other Options Are Wrong:They break the 7n/8n progression (e.g., 9 is not 7×2; 16 is not 8×2 in the same slotting, etc.).
Common Pitfalls:Confusing additive with multiplicative structure; here the second and third terms are simple multiples of the first.
Final Answer:(3, 21, 24)
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