Sign in
Please select an account to continue using cracku.in
↓ →
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.
Drug C is used on organism Q. So, drug D also must be used on Q (from condition(iii))
Also, drug A is used on organism R. So, drug B must also be used on R (from condition (iii))
So, we can fill the table like,
Now, organism Q has already been treated with 3 drugs. So, it must not be treated with A and E.
(In condition (ii), it is mentioned an organism can be treated with a maximum of three drugs).
Also, drug B is working on 2 organisms Q and R. So, it must not work on P.
(In condition (i), it is mentioned a drug can work on maximum 2 organisms)
Now, drug B is not working on P, so drug A also must not work on P.
(The reason is if drug A works on P, then drug B must also work on P (condition (iii))
So, we can fill the table upto this,
(Symbol X denotes either drug does not work or the organism was not treated with that drug)
Now in organism P, neither A nor B works.
Now out of the remaining three drugs, only one out of D and E will work (condition (iv)). Also, we need minimum 2 drugs to work (condition (ii)). So, drug C has to work on P.
Now, if drug C works on P, then drug D also has to work on P.
So, now the table will be like:
Now, drug C and drug D are working on organisms P and Q. So they won't work on R definitely.
(condition (i) states, a drug can work on a maximum of 2 organisms)
Also, drug E is not working on P and Q. So, it must work on R for sure.
(condition (i) states, a drug has to work on atleast 1 organism)
So, our final table will be like:
So, organism R can be treated with A,B and E.
Click on the Email ☝️ to Watch the Video Solution
Create a FREE account and get:
Crack IPMAT 2026 with Cracku
Educational materials for IPMAT and IIMB UG preparation
Ask our AI anything
AI can make mistakes. Please verify important information.
AI can make mistakes. Please verify important information.