if abcde is a five digit number the difference of abcde and acdbe would always be divisible by which of the following for all values a, b , c, d and e?

Question

ajprincess · Answer

vat is the answer?

ajprincess · Answer

@shameer1

asnaseer · Answer

abcde
- acdbe
  ====
     .....0

the last digit must be zero, therefore it is always divisible by 10.

ajprincess · Answer

also by 2 and 5.

asnaseer · Answer

yes - indeed - well spotted ajprincess :)

ajprincess · Answer

thanxx @asnaseer. :)

anonymous · Answer

the answer is 9 or 18

asnaseer · Answer

then either the question is wrong or the answer is wrong.

ajprincess · Answer

That fits too.

anonymous · Answer

If you change the order of the digits of a number, the difference of the two numbers (the original and new number) will always be divisible by 9.

anonymous · Answer

in our case, since the first digit ( the e) is left unchanged, this number will also be divisible by 2.  So i would say the answer is 18.

asnaseer · Answer

why not 10 as well?

anonymous · Answer

it is divisible by 10.  I was just going off the answer choices the guy gave.

anonymous · Answer

if we werent given an answer choices, i would have said 90.  Your 10 and my 9 lol.

ajprincess · Answer

|dw:1337491925773:dw|
In these three examples all 2,5,9 and 18 fit.