If r and s are positive integers such that (2r ) (4s ) = 16, then 2r + s = ?

If r and s are positive integers such that (2^r) (4^s) = 16, then 2r + s = ?

A 3

B 4

C 5

D 6

Correct Answer: Option C

দেয়া আছে, (2^r) (4^s) = 16

=> 2^r. 2^2s = 16

=> 2^r+2s = 2⁴

=> r + 2s = 4

এখন, r = 2 এবং s = 1 হলে,

r + 2s = 2 + 2.1 = 4 হয় ।

অতএব, 2r + s

= 2.2 + 1

= 4 + 1

= 5