HCF of two numbers is 11 and the product of these numbers is 363, what is the the greater number?	Choose the correct option:
A) 28 B) 31 C) 33 D) 35 E) 38

Rationale: the numbers be 11 a and 11 b 11 a × 11 b = 363 ab = 3 co - primes with product 3 are ( 1 , 3 ) hence the numbers with hcf 11 and product 363 = ( 11 × 1 , 11 × 3 ) = ( 11 , 33 ) numbers are 11 and 33 the greater number = 33
Answer: C