A pharmaceutical company has tested five drugs on three different organisms. The following incomplete table reports if a drug works on the given organism. For example, drug A works on organism R…
Question and options
A pharmaceutical company has tested five drugs on three different organisms. The following incomplete table reports if a drug works on the given organism. For example, drug A works on organism R while B and C work on Q.
Following additional information is available:
- Each drug works on at least one organism but not more than two organisms.
- Each organism can be treated with at least two and at most three of these five drugs.
- On whichever organism A works, B also works. Similarly, on whichever organism C works, D also works.
- D and E do not work on the same organism.
Organism P can be treated with:
| Drug | Organism P | Organism Q | Organism R |
|---|---|---|---|
| A | ✔ | ||
| B | ✔ | ||
| C | ✔ | ||
| D | |||
| E |
Following additional information is available:
- Each drug works on at least one organism but not more than two organisms.
- Each organism can be treated with at least two and at most three of these five drugs.
- On whichever organism A works, B also works. Similarly, on whichever organism C works, D also works.
- D and E do not work on the same organism.
Organism P can be treated with:
- Only C and D
- B, C and D
- Only B and D
- A, B, and D
Answer and explanation
Correct answer: A - Only C and D
Deduction: B already on Q; A on R forces B on R, so B = {Q,R} (max 2) and A lies within {Q,R}. C on Q forces D on Q. P needs >=2 drugs and only C,D,E can be on P; D and E cannot both be on P, and C on P needs D, so P = {C,D}. Then C={P,Q}, D={P,Q}, E (disjoint from D) = {R}; Q = {B,C,D} is full, so A = {R}. Final: P={C,D}, Q={B,C,D}, R={A,B,E}. So P is treated only by C and D.
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