Question

57. Find the sum of all possible values of x, if 25849x4 is divisible by 4.
(1) 8
(2) 20
(3) 12
(4) 24

Answer 1

Answer:

12

Step-by-step explanation:

since divisibility of 4 says that sum of all digits should be divisible by 4.

So, 2+5+8+4+9+x+4 = 32+x

now , next multiples of 4 after 32 are 36, 40, 44, 48, so on

By substituting values of x from 0 to 9 . we get

put x=4, we get 36

put x=8, we get 40

since two values x=4 or x= 8 are obtained

according to the question we want sum of obtained values, i.e., 4+8=12

Therefore,

Option (3) : 12