The greatest number that divides 152 and 181 leaving remainders 2 and 6, respectively, is:

Correct option is C

Given:

Number 1: 152, leaving a remainder of 2.

Number 2: 181, leaving a remainder of 6.

Solution:

Subtract the remainders from the given numbers:

152 - 2 = 150

181 - 6 = 175

HCF of 150 , 175

150 = $$2 \times 3 \times 5^2$$​​

175 = $$5^2 \times 7$$​​

HCF = 5² = 25