There are five men P, Q, R, S and T, six women I, J, K, L, M and N. P, Q and K…
2022
There are five men P, Q, R, S and T, six women I, J, K, L, M and N.
P, Q and K are lawyers; R, S, I, J and L are engineers and rest are doctors.
Some teams are to be selected from these eleven persons subject to the following conditions:
P, I and N have to be placed together.
Q cannot be placed with S or K.
T and J have to be placed together.
S cannot be placed with L.
R cannot be placed with J.
If the team consists of two male lawyers, two female engineers and one doctor, then the members of the team will be –
- A.
P, Q, I, J, N
- B.
P, K, I, J, N
- C.
P, K, I, L, N
- D.
P, Q, I, L, N
Attempted by 53 students.
Show answer & explanation
Correct answer: D
Key information: list of professions and constraints will be used to build the team.
Male lawyers: P and Q. Female lawyer: K.
Female engineers: I, J, L. Male engineers: R, S.
Doctors: T, M, N.
Apply the selection requirements (two male lawyers, two female engineers, one doctor) together with the constraints:
P, I and N must be together. Since the team needs one doctor and N is a doctor, including P forces inclusion of I and N as that doctor slot.
Two male lawyers are required. The available male lawyers are P and Q, so Q must be included along with P.
One doctor is already fixed as N (from the P-I-N block), so T cannot be used as the doctor. Therefore any female engineer that requires T cannot be chosen.
J (a female engineer) must be placed with T; because T cannot be included (doctor slot filled by N), J cannot be chosen. That leaves I and L as the only possible female engineers to make the required two female engineers.
Check forbidden pairings: Q is not with S or K (neither S nor K are included); S is not with L (S not included); R is not with J (J not included). All restrictions are satisfied.
Conclusion: the only valid team satisfying every condition is P, Q, I, L, N.