Grade 6 problem

Logic · Grade 6

Find the smallest positive integer that leaves a remainder of 2 when divided by 5 and a remainder of 4 when divided by 7.

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  1. List 2, 7, 12, and later numbers in steps of 5.
  2. Check the remainder when 32 is divided by 7.
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Answer: 32

Numbers leaving remainder 2 when divided by 5 are 2, 7, 12, 17, 22, 27, and 32. The first one leaving remainder 4 when divided by 7 is 32.

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