There is a four-digit number ABCD, where A, B, C, D each represents a................. what is the original number ABCD?

+1 vote
474 views

There is a four-digit number ABCD, where A, B, C, D each represents a different digit from 1 to 9.

If ABCD is divisible by 13, BCDA is divisible by 11, CDAB is divisible by 9, and DABC is divisible by 7, what is the original number ABCD?

posted Oct 26, 2015
Looking for solution? Promote on:

Similar Puzzles

In the figure that has been attached with this question, each digit represents a digit. The similar letters carry the same integer value.

Can you expose the original digits?

A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

+1 vote

In the following addition if each of the symbols represents a distinct single-digit positive integer,
What is the value of D + O + G + C + A + T = ??

``````  D O G
+ C A T
-------
1 0 0 0
-------
``````
+1 vote

A9543B represents a six-digit number in which A and B are digits different from each other. The number is divisible by 11 and also by 8.
What digit does A represent?