The correct option is C $11000$
We have to round off the numbers to the nearest thousands place so, we need to look carefully on hundreds place digit.
For $4264$ we see that because $2<5$, we will round it down to $4000$.
And for $6897$ since $8>5$, it will be rounded up to $7000$.
Adding up our rounded off numbers we get, $4000 + 7000 = 11000$ which is very close to the correct sum of $4264 + 6897 = 11161$