Difficulty: Medium
Correct Answer: 919, 949
Explanation:
Introduction / Context:
Three pairs hold outer digits constant while doubling the middle digit on the right value; one pair violates this. Detecting a consistent digit operation is essential.
Given Data / Assumptions:
Concept / Approach:
Check whether the right number keeps the same first and last digits and doubles the middle digit of the left number.
Step-by-Step Solution:
646 → 686: outer digits 6 and 6 fixed; middle 4 → 8 (doubled) ✓828 → 848: outer digits 8 and 8 fixed; middle 2 → 4 (doubled) ✓434 → 464: outer digits 4 and 4 fixed; middle 3 → 6 (doubled) ✓919 → 949: outer digits 9 and 9 fixed; middle 1 → 4 (quadrupled, not doubled) ✗
Verification / Alternative check:
There is no carry effect because all doubled middles (2→4, 3→6, 4→8) remain single-digit. Only 1→4 fails the doubling criterion (should be 2).
Why Other Options Are Wrong:
Common Pitfalls:
Reading speed errors (confusing 2→4 with 1→4). Always track digit-by-digit.
Final Answer:
919, 949
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