(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)
- Seven boxes S, F, G, H, T and U are kept one over the other but not necessarily in the same order. Only two boxes are kept below S. Only one box is kept above U. Only one box is kept between U and B. G is kept immediately above F. T is kept at some place below H.
How many boxes are kept between H and G? - Seven boxes E, F, G, H, S, T and U are kept one over the other but not necessarily in themsame order. No box is kept above E. Only three boxes are kept between E and U. Only one box is kept between G and H. H is kept immediately above U. Only four boxes are kept between G and F. T is kept at some place above S. Which box is kept second below T?
- Seven boxes E, F, G, H, S, T and U are kept one over the other but not necessarily in the same order. H is kept immediately above E. T is kept immediately above U. Only F is kept above S. Only two boxes are kept above H. T is not kept at third position from the bottom.
How many boxes are kept between G and F? - Seven boxes A, B, C, D, E, F and G are kept one over the other but not necessarily in the same order.
Only two boxes are kept between D and E. Only F is kept above C. No box is kept below E. G is kept at some place below A but at some place above B.
How many boxes are kept below B? - Seven boxes E, F, G, H, S, T and U are kept one over the other but not necessarily in the same order. Only H is kept above E. Only T is kept between E and S. Only F is kept below U.
How many boxes are kept between G and F?
