Question

Both 2 and 5 are common factors of a number. The number in between 101 and 118. What is the number? Give a reason for your answer.

Answer 1

110
2 and 5 are prime and thus share no common factors. The lowest common multiple of 2 and 5 is therefore 2 x 5 = 10. 

Your answer must be a multiple of 10 and there is only one answer in that range that fits. 

Double-check: 
110 / 2 = 55 r. 0 
110 / 5 = 22 r. 0