Question 11
Peter: How many scouts attended the jamboree last weekend?
Paul: I cannot remember, but I know that when the organizers attempted to group us into “threes” there were 2 scouts left over. However, when they attempted to group us into “fives” there were 3 scouts left over. Also the number of scouts present was odd and less than 1000.
Peter: I need more information!
Paul: I remember two other facts. The total present was a palindromic number (i.e. it reads the same backwards as forwards). Also, when they attempted to divide us into “sevens” there were 5 scouts left over.
Peter: Now I know the answer.
How many scouts were present at the jamboree?
Paul: I cannot remember, but I know that when the organizers attempted to group us into “threes” there were 2 scouts left over. However, when they attempted to group us into “fives” there were 3 scouts left over. Also the number of scouts present was odd and less than 1000.
Peter: I need more information!
Paul: I remember two other facts. The total present was a palindromic number (i.e. it reads the same backwards as forwards). Also, when they attempted to divide us into “sevens” there were 5 scouts left over.
Peter: Now I know the answer.
How many scouts were present at the jamboree?