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Two statements are given followed by four inferences. Statements: 1. Some teachers are students. 2. All students are girls. Inferences : (I) All
Question

Two statements are given followed by four inferences.
Statements:
1. Some teachers are students.
2. All students are girls.
Inferences :
(I) All teachers are girls.
(II) Some girls are teachers.
(III) Some girls are students.
(IV) All students are teachers.
Choose most appropriate option. ​​

A.

All inferences (I), (II), (III), (IV) follow logically

B.

Only inference (I) follows logically

C.

Inference (I), (II) and (III) follow logically

D.

Inferences (II) and (III) follow logically

Correct option is D

Given:
Statements:
1. Some teachers are students.
2. All students are girls.
Inferences :
(I) All teachers are girls ✖ (only some teachers are students, not all)
(II) Some girls are teachers ✔ (T ∩ S and S ⊂ G => T ∩ G)
(III) Some girls are students ✔ (since all students are girls)
(IV) All students are teachers ✖ (no such full relation given)
Final Answer:
Inferences (II) and (III) follow
Final Correct Option:
D

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