Question:

If a number 774958A96B is to be divisible by 8 and 9, the respective values of A and B will be

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Check 8-divisibility using last 3 digits, 9-divisibility using sum of digits.
Updated On: Aug 6, 2025
  • 7 and 8
  • 8 and 0
  • 5 and 8
  • None of these
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The Correct Option is B

Solution and Explanation

Divisibility by 8 → last 3 digits (6B0) divisible by 8 → B=0 works.
Divisibility by 9 → sum of digits divisible by 9. With B=0, sum = $7+7+4+9+5+8+A+9+6+0 = 55 + A$. For 9-divisibility, $55 + A$ must be multiple of 9 → A=8.
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