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Fault-tolerant number recall: given partial group agreement on telephone digits (995 as the first three; majority for 4th=9, 5th=2, 6th=6, and also 7th=6), select the most probable seven-digit pizzeria number.

Difficulty: Easy

Correct Answer: 995-9266

Explanation:

Choose the number satisfying the greatest set of agreed-upon digit positions.


  • Given data
    First three digits: 995 (all agree).3 of 4 agree: 4th = 9; 5th = 2; 6th = 6; and another group of 3 agree 7th = 6.

Concept/Approach
Match each candidate against the consensus digits to maximize consistency.
Step-by-Step evaluation
1) 995-9266 ⇒ 4th=9✓, 5th=2✓, 6th=6✓, 7th=6✓ — matches all consensus points.2) 995-9336 ⇒ 5th=3 (≠2) and 7th=6✓ — partial.3) 995-9268 ⇒ 7th=8 (≠6) — fails one consensus.4) 995-8266 ⇒ 4th=8 (≠9) — fails one consensus.
Verification/Alternative
The only option aligned with every majority observation is 995-9266.
Common pitfalls
Overlooking a single mismatched digit in the tail (6 vs. 8) that breaks consensus.
Final Answer
995-9266
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