Question

If 2z5 is divisible by 11, where z is a digit, what is the value of z?​

Answer 1

Answer:

The value of the digit z is 1

Answer 2

Answer:

The value of z is 7.

Step-by-step explanation:

Given :-

2z5 is divisible by 11, where z is a digit.

To find :-

The value of z?

Solution :-

2z5 is divisible by 11.

To check whether a number is multiple of 11 or not :-

The sum of the odd digits is subtracted from the sum of the even digits equal to multiple of 11.

So :-

2 + 5 - z = 11(k)

Where k is a digit and the number 11k is a multiple of 11.

z - 7 = 11k

Take k = 0,

z - 7 = 0

z = 7

k cannot be more than 0, as if we take k as 1, we get y equal to 17 which is not possible and more than 11.

∴ The possible value of z is 7.