Remainder theorem
A natural number , when divided by 6, 8 or 12 leaves a remainder of 2 in each case, but when divided by 9, 10 and 15, leaves remainders of 5, 6 and 11 respectively. If is a 4-digit number, how many different values can take?
The answer is 25.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
0 solutions
No explanations have been posted yet. Check back later!