1. "The red sweater is a perfect complement/compliment to the outfit." Which is correct?
complement

2. "They seemed disinterested/uninterested in our offer." Which is correct?
uninterested

3. "We won't be able to suggest a solution until we are farther/further along in our evaluation of the problem." Which is correct?
further

4. "His loud humming was affecting/effecting my ability to concentrate." Which is correct?
affecting

5. "You can choose a large bookcase or, alternately/alternatively, you can buy two small ones." Which is correct?
alternatively

6. "Each company in the conglomerate operates as a discreet/discrete entity."
discrete

7. "Taking that route will mean less/fewer miles on the road." Which is correct?
fewer

8. "Stand here beside/besides me." Which is correct?
beside

9. "The family members were finally all together/altogether for holiday celebrations." Which is correct?
all together

10. "Shakespeare makes a number of biblical illusions/allusions in his plays." Which is correct?
allusions