The HCF and LCM of two numbers are 13 and 455 respectively.  If one of the numbers lies between 75 and 125, then, that number is?

78 91 104 117

91

HCF × Product of other factors = LCM  13 × (a × b) = 455           a × b = 35           ↓     ↓           7     5 Numbers are:                   7 × 13 = 91                  5 × 13 = 65 ∴ 91 is the number