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SSC CHSL 2025 · PYQ · Number System · medium

The largest four-digit number which when divided by 4, 7, or 13 leaves a remainder of 3 in each case is:

  1. A.9893
  2. B.9831
  3. C.8739
  4. D.9834✓ Correct

Explanation

LCM of 4, 7, 13 = 364. Largest 4-digit multiple of 364: 364 × 27 = 9828. Adding remainder 3: 9828 + 3 = 9831. Wait — checking 9831: 9831/4 = 2457 r3 ✓, 9831/7 = 1404 r3 ✓, 9831/13 = 756 r3 ✓. The answer is 9831, correctIndex = 1.
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