Answer:
1. The sole of my shoe pulled off.
I would need an adhesive to fix it.
2. My kitchen's sink is leaking.
With the help of a plumber and his tools, I would be able to fix it.
Ludere means to trick. Collusion is secret, illusion is a trick, elude is to avoid escape. These are not options. A prelude is an introduction - almost like a taste to trick you into reading, hearing, seeing more. An ablution is a washing - not connected to a trick at all. Ablution is your answer.