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Question: Answered & Verified by Expert
The remainder obtained when 7100 is divided by 13 is
MathematicsBinomial TheoremJEE Main
Options:
  • A 3
  • B 7
  • C 9
  • D 11
Solution:
2011 Upvotes Verified Answer
The correct answer is: 9
7100=7250=4950
=52-350
=C0505250-C15052493+...-C495052349+C5050350
=13K+350=13K+331632
=13K+26+1169
=13K+9C0162616+C1162615+...+C151626+C1616
=13K+913K1+1
=13K+9K1+9

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