What is the greatest number that will divide 175 and 385 leaving the remainders 4 and 5, respectively?

Correct option is D

Given:

The number divides 175 leaving a remainder of 4

The number divides 385 leaving a remainder of 5

Solution:

175 - 4 = 171

385 - 5 = 380

Now,

171 = 3² × 19

380 = 2² × 5 × 19

HCF (171, 380) = 19

Thus, the greatest number that will divide 175 and 385 leaving remainders 4 and 5, respectively, is 19.