(I) A, P and Z have to be together.
(II) B cannot go with D or R.
(III) E and Q have to be together.
(IV) C and T have to be together.
(V) D and P cannot go together.
(VI) C cannot go with Q.
If the team formed consists of two male advocates, two lady doctors and one teacher, the members of the team can be:
This problem involves selecting a team based on specific roles and adherence to several conditions. Let's break down the information provided.
Understanding the Professions
We have 5 men (A, B, C, D, E) and 6 women (P, Q, R, S, T, Z).
Their professions are defined as follows:
- Advocates: A, B (men) and R (woman).
- Doctors: D (man) and S, Q, P, C (women).
- Teachers: E (man) and T, Z (women).
Here's a summary table:
| Category | Male Members | Female Members |
|---|---|---|
| Advocates | A, B | R |
| Doctors | D | S, Q, P, C |
| Teachers | E | T, Z |
Team Composition Requirements
The team must consist of:
- Two male advocates.
- Two lady doctors.
- One teacher.
Analysis of Conditions
The team selection is subject to the following rules:
- (I) A, P, and Z have to be together. If one is selected, all must be selected.
- (II) B cannot go with D or R. If B is in the team, D and R must be out.
- (III) E and Q have to be together. If one is selected, the other must be selected.
- (IV) C and T have to be together. If one is selected, the other must be selected.
- (V) D and P cannot go together. If D is selected, P must be out, and vice versa.
- (VI) C cannot go with Q. If C is selected, Q must be out, and vice versa.
Evaluation of Options
Let's check each option against the team composition and the conditions:
Option 1: A, B, P, Z, S
- Members: A (Male Adv), B (Male Adv), P (Lady Dr), Z (Teacher), S (Lady Dr).
- Composition Check: 2 Male Advocates (A, B), 2 Lady Doctors (P, S), 1 Teacher (Z). This matches the requirement.
- Conditions Check:
- (I) A, P, Z are all included. (OK)
- (II) B is included. D and R are not included. (OK)
- (III) E and Q are not included. (OK)
- (IV) C and T are not included. (OK)
- (V) D is not included. (OK)
- (VI) C and Q are not included. (OK)
- Result: This option satisfies all conditions and composition requirements.
Option 2: A, B, P, Q, Z
- Members: A (Male Adv), B (Male Adv), P (Lady Dr), Q (Lady Dr), Z (Teacher).
- Composition Check: 2 Male Advocates (A, B), 2 Lady Doctors (P, Q), 1 Teacher (Z). This matches the requirement.
- Conditions Check:
- (III) Q is included, but E is not. This violates the condition that E and Q must be together. (FAIL)
- Result: This option is invalid.
Option 3: B, E, Q, R, S
- Members: B (Male Adv), E (Teacher), Q (Lady Dr), R (Female Adv), S (Lady Dr).
- Composition Check: Only 1 Male Advocate (B) is included. The requirement is 2 Male Advocates. (FAIL)
- Result: This option is invalid.
Option 4: A, P, R, S, Z
- Members: A (Male Adv), P (Lady Dr), R (Female Adv), S (Lady Dr), Z (Teacher).
- Composition Check: Only 1 Male Advocate (A) is included. The requirement is 2 Male Advocates. (FAIL)
- Result: This option is invalid.
Conclusion
Only Option 1 successfully meets all the specified criteria for team composition and adheres to all the given conditions.
Important Questions from Puzzle (Notes)
- Four individuals - P, Q, R and S - are suspects in a theft case. They make the following statements :
P says: "Q is guilty."
Q says: "R is guilty."
R says: "P is innocent."
S says: "I am innocent"
If it is known that exactly one of them is guilty, and only the guilty person lies (all innocent people tell the truth), then who is the guilty one? - In which company, C's interview was scheduled?
- Who went to Nagpur?
- What is the sum of the digits of the number Q?
- What is the sum of A and Q if A is smaller than B?
