a. During a redox reaction, one substance loses electrons while one another gains them. The same amount of electrons lost by one substance is gained by the other one. Also, if this weren't happen, electrons would appear as a product of the overall reaction, which is never observed.
It means that the correct answers are a and d.
b. An oxidizing agent is the one that makes the other substance to oxidize, in other words, it gets reduced. It means that it gains electrons, making the other substance get oxidized.
The correct answers are a and b.
c. A reducing agent is the one that makes the other substance to reduce, in other words, it gets oxidized. It means that is loses electrons, making the other substance to get reduced.
The correct answers are b and d.