Discussion

Explanation:

Units digit of the number must be 0.

Let 100x + 10y is the number such that x > y.

New number obtained by changing the digits is also divisible by 10.

So, only x and y are to be interchanged

∴ New number is of the form = 100y + 10x

Difference = 90x – 90y = 90(x – y)

For the difference to be divisible by 4,

(x – y) has to be divisible by 4.

(x – y) = 4 or 8

So, y = 1 to 5

For y = 1 to 5, x = (1+4) to (5+4) i.e., 5 to 9

One more possibility for y = 1 is x = 9.

Thus, in all 6 numbers satisfy the given conditions.

Hence, option (b).

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