Question 30
Alex, Lucas and Anna collect seashells during their seaside holiday. Their total is greater than 1 and less than 100. Dividing it by 3, by 4 or by 5 leaves remainder 1 each time.
1. After subtracting 1, by which numbers is the remainder divisible?
2. Find the number of shells.
3. The next day they exchange all their shells for 20 notebooks and 24 pens. They give all of these to children in the fishing village, with equal numbers of notebooks and equal numbers of pens for each child. What is the greatest possible number of recipients?
1. After subtracting 1, by which numbers is the remainder divisible?
2. Find the number of shells.
3. The next day they exchange all their shells for 20 notebooks and 24 pens. They give all of these to children in the fishing village, with equal numbers of notebooks and equal numbers of pens for each child. What is the greatest possible number of recipients?