The HCF of 24 and 144 is '10p + 4', then the value of 'p' is:

Correct option is C

Given:

The HCF of 24 and 144 is given as 10p + 4.

Solution:

24 = 2³​$$\times 3$$ 

144 = 2⁴ $$\times$$ 3²​

HCF of 24 and 144 =2³​$$\times 3$$ = 24.

10p + 4 = 24

10p = 24 - 4 = 20

p $$= \frac{20}{10} = 2$$​