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Students lining up for assembly in rows of 4 leave 1 student over, and in rows of 5 also leave 1 student over. There are between 30 and 50 students. How many are there?

Class 8Parity, Remainders and Digital RootsNumber System
  • A49
  • B45
  • C21
  • D41

Step-by-Step Solution

The number is 1 more than a multiple of 20 (LCM of 4 and 5): 21, 41, 61, … Between 30 and 50 the only choice is 41.
Answer: D) 41

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