A group of four teachers is to be formed from amongst seven teachers T1, T2,…
2021
A group of four teachers is to be formed from amongst seven teachers T1, T2, T3, T4, T5, T6 and T7. Either T1 or T2 should be selected with T5. T4 and T7 cannot be selected together. Either T3 or T6 should be selected with T2. Either T7 or T5 should be selected with T6. Who among the following may be selected?
- A.
T3, T1, T4 and T6
- B.
T2, T5, T6 and T7
- C.
T2, T4, T5 and T6
- D.
T1, T4, T5 and T7
Attempted by 8 students.
Show answer & explanation
Correct answer: C
1. Extract the specific conditions: (i) T5 needs T1 or T2. (ii) T4 and T7 cannot be together. (iii) T2 needs T3 or T6. (iv) T6 needs exactly one of T7 or T5. 2. Eliminate clear violations: Option A contains T6 but lacks both T7 and T5 (violates iv). Option D contains both T4 and T7 (violates ii). 3. Evaluate the remaining: Option B contains T6 along with BOTH T7 and T5, violating the exclusive "either/or" nature of rule (iv). Option C contains T2, T4, T5, T6. It has T5 with T2 (satisfies i), no T7 with T4 (satisfies ii), T2 with T6 (satisfies iii), and T6 with T5 only (satisfies iv). Final Answer: Option C