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

[A]78

[B]91

[C]104

[D]117

**91**

HCF = 13

Let the numbers be 13x and 13y, where x and y are co-prime to each other.

∴ LCM = 13xy

∴ 13xy = 455

∴ Numbers are 13 5 = 65 and 13 7 = 91

Hence option [B] is correct answer.