Can you solve this seemingly easy question?
Level
pending
Find the smallest 4-digit integer which leaves a non-zero remainder when divided by any of 2,3,4,5, or 6 but not when divided by 7.
The answer is 1001.
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.
1 solution
the smallest 4-digit no. is 1000. So we know that when our answer is divided by 7, it leaves a remainder 0. So smallest 4-digit no. that is divisible by 7 is 1001 and co-incidentally it fulfills other conditions as well..