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SSC CHSL 2021 · PYQ · Number System · medium

If the nine-digit number '8475639AB' is divisible by 99, then what is the value of A and B?

  1. A.A = 5, B = 3
  2. B.A = 4, B = 8✓ Correct
  3. C.A = 3, B = 9
  4. D.A = 4, B = 6

Explanation

For divisibility by 99, the number must be divisible by both 9 and 11. Sum of digits: 8+4+7+5+6+3+9+A+B = 42+A+B must be divisible by 9. For divisibility by 11, alternating sum must be divisible by 11. With A=4, B=8: sum=54 ✓ (divisible by 9), and alternating sum check confirms divisibility by 11.
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