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A three-digit number 'pqp' has equal first and last digits and is divisible by 11.
Using the 11-test, find the largest possible value of the middle digit q.

Class 6Divisibility RulesPlaying with Numbers
  • A7
  • B9
  • C16
  • D8

Step-by-Step Solution

For the alternating sum is , which must be 0 or a multiple of 11. The case needs (too small to use for a large q), so use , giving . To keep a single digit, the largest is with .
Answer: D) 8

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