Number properties question

[sukh]

If X10X is a four-digit integer, what is digit x, if it is divisible by 36? (A) 2 (B) 3 (C) 4 (D) 6 (E) 7

[sukh]

Thanx and i didnt see the edit button first

[sukh]

the four digit no is divisible by 36 not 4 , i tried to solved by 36= 6*6 i.e. divisble by 2 and 3
but didnt get the point how to solve equations , can You plz explain it again with 36

[Frankenstein]

Hi,
You could have just edited your opening post. You don't to post 3 posts for a single question.
X10X - For a number to be divisible by 4, the last two digits should be divisible by 4
that is 0X is divisible by 4
So, X can be either 4 or 8
For a number to be divisible by 9, the sum of digits should be multiple of 9.
So, x+1+0+x = 2x+1 is divisible by 9
for x=4, 2x+1 = 9
for x=8, 2x+1 = 17(not divisible by 9)
Hence, C
Actually, the options here are in such a way that when you arrive know that 0x should be divisible by 4, you can straight away pick C

[Frankenstein]

the four digit no is divisible by 36 not 4 , i tried to solved by 36= 6*6 i.e. divisble by 2 and 3
but didnt get the point how to solve equations , can You plz explain it again with 36

Hi,
I have explained it for 36 only. If the number is divisible by 36. It has to be divisible by both 4 and 9.

[sukh]

Thanx a lot , got the point