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From a group of five students, A, Q, B, S and C, and three teachers D, E and F, a team of five has to be selected on the basis of the following criter
Question

From a group of five students, A, Q, B, S and C, and three teachers D, E and F, a team of five has to be selected on the basis of the following criteria.

The team must have only one teacher.

Teacher E cannot be on the same team as student Q.

Student S cannot be in a team without student A.

Student B and student C cannot be on the same team as student Q.

Based on the given information, which of the following teams will be formed?

A.

ECSQA

B.

CBEDF

C.

QBSCD

D.

ABSCE

Correct option is D

Given Conditions:
The team must have only one teacher.
Teacher E cannot be on the same team as student Q.
Student S cannot be in a team without student A.
Students B and C cannot be on the same team as student Q.
Option A: ECSQA
Members: E (Teacher), C, S, Q, A
Only one teacher?  (E)
E and Q together? (Invalid — E and Q cannot be together)
Verdict: Invalid
Option B: CBEDF
Members: C, B, E, D, F
More than one teacher? Let's check:
Teachers: E, D, F →  (3 teachers)
Verdict: Invalid (Only one teacher allowed)
Option C: QBSCD
Members: Q, B, S, C, D
Teachers: D →  (Only one teacher)
Q and B together?  (Invalid — B cannot be with Q)
Verdict: Invalid
Option D: ABSCE
Members: A, B, S, C, E
Teachers: E → (Only one teacher)
Q is not present → 
E and Q together? Not applicable, since Q is not present.
S is present → Is A present too? 
Verdict: Valid
Correct Answer: D) ABSCE

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