For what value of x is (81x + 175)/512 divisible by 2?

The problem is based on the concept of divisibility rule of 2.

Answer: The value of x for which (81x + 175)/512 divisible by 2 is 283/27.

Let's find the possible value of x.

Explanation:

Given that (81x + 175) /512 is divisible by 2.

(81x + 175)/512 is a multiple of 2.

(81x + 175)/512 = 2  (let us consider N = 1-----> minimum possible number)

81x + 175  = 2 × 512

81x + 175 = 1024

81x = 1024 - 175

81x = 849

x = 849/81

x = 283/27

Thus, the possible value of x is 283/27.