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A three-digit number 'N7N' has equal hundreds and units digits, with 7 in the middle (for example 171, 272, 373).
How many of these numbers are divisible by 3?

Class 6Divisibility RulesPlaying with Numbers
  • A2
  • B3
  • C6
  • D4

Step-by-Step Solution

The number is with from 1 to 9. Digit sum = , which must be a multiple of 3. Test →9 (yes), →15 (yes), →21 (yes); others give non-multiples of 3. So 3 such numbers (171, 474, 777).
Answer: B) 3

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