A number is such that when divided by 3, 5, 6 or 7 it leaves a remainder of 1, 3, 4 or 5 respectively. Which is the largest number below 4000 that satisfies this property?

Ashutosh Nautiyal

    A number is such that when divided by 3, 5, 6 or 7 it leaves a remainder of 1, 3, 4 or 5 respectively. Which is the largest number below 4000 that satisfies this property?

  • A. 3358
  • B. 3988
  • C. 3778
  • D. 2938
 

The correct answer is option B. 3988. Can you explain this answer in the comments?


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A number is such that when divided by 3, 5, 6 or 7 it leaves a remainder of 1, 3, 4 or 5 respectively. Which is the largest number below 4000 that satisfies this property?




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