Let us find the precise subject taught by faculty member G by systematically filtering out the restricted subjects.
Step 1: Identify the Total Profile of G
Step 2: Eliminate Occupied Subjects
There are 8 distinct subjects for the 8 faculty members. Let us eliminate the subjects already assigned to other teachers:
Psychology is taken by E (statement iii).
Chemistry is taken by A (statement iii).
Zoology is taken by F (statement vi).
Therefore, G cannot teach Psychology, Chemistry, or Zoology.
Step 3: Eliminate Subjects Based on Ph.D. Status
We know that G holds a Ph.D. Degree. Let us check the subject criteria:
Step 4: Eliminate Subjects Based on Gender and Special Constraints
From statement (iv): "No lady member teaches either Commerce or Law." Since G is a lady, she cannot teach Commerce (this also matches statement v).
From statement (v): Explicitly states that "G does not teach Physics." → G cannot teach Physics.
Step 5: Final Subject Allocation for G
Let's write down the elimination pool for G mathematically:
Total Subjects={Psychology, Chemistry, Zoology, Economics, Law, Commerce, Physics, Remaining Subject}
Disqualified for G={Psychology, Chemistry, Zoology, Economics, Law, Commerce, Physics}
Remaining Subject for G={Total Subjects}∖{Disqualified for G}
Counting the elements:
8−7=1 subject remaining
Since 7 out of the 8 subjects are completely disqualified for G, she must teach the remaining unmentioned 8th subject.
Looking at the options provided in the question:
(a) Zoology → Incorrect (Taught by F)
(b) Either Physics or Zoology → Incorrect
(c) Either Physics or Economics → Incorrect
Since her exact subject is an unmentioned eighth subject that cannot be explicitly named from the text, but is definitely none of the choices above, option (d) is the logical choice.
Correct Answer
The correct option is (d) Cannot be determined.
