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A vendor has between 700 and 800 mangoes. Counting them in sixes, eights or nines always leaves 1 over, but counting them in sevens leaves none. How many mangoes are there?

Competition practiceNumber System, HCF & LCM
  • A721
  • B649
  • C793
  • D577

Step-by-Step Solution

The number is 1 more than a multiple of LCM(6, 8, 9) = 72: 721 and 793 lie between 700 and 800. , while 793 leaves 2 on division by 7. So there are 721 mangoes.
Answer: A) 721

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