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A, B, C, D, E, F and G are standing in a straight line facing North with equal distances between them, not necessarily in the same order. Each one is pursuing, a different profession - actor, reporter, doctor, engineer, lawyer, teacher and painter not necessarily in the same order. G is fifth to the left of C. The reporter is third to the right of G. F is fifth to the right of A. E is second to the left of B. The engineer is second to the left of D. There are only three people between the engineer and the painter. The doctor is to the immediate left of the engineer. The lawyer is to the immediate right of the teacher.
We are given that G is 5th to the left of C. There are only 2 cases possible:
Case 1: _ G _ _ _ _ C.Β F is fifth to the right of A. This gives only 1 possibility:
A G _ _ _ F C.Β
E is 2nd to the left of B. This also gives only 1 possibility:
A G E _ B F C and the remaining place is taken by D:
A G E D B F C. Reporter is 3rd to the right of G and engineer is 2nd to the left of D and doctor is to the immediate left of engineer.
A(doctor) G(engineer) E D B(reporter) F C.Β
There are only 3 people between engineer and painter and the Lawyer is to the immediate right of the Teacher which is only possible when E is Teacher and D is the Lawyer.
The final arrangement will look like:
A(doctor) G(engineer) E(Teacher) D(Lawyer) B(reporter) F(painter) C(actor).
Case 2:Β Β G _ _ _ _ C_. F is fifth to the right of A. This gives only 1 possibility:
G A _ _ _ C F.
E is 2nd to the left of B. This also gives only 1 possibility:
G A E _ B C F and the remaining place is taken by D:
G A E D B C F. Reporter is 3rd to the right of G and engineer is 2nd to the left of D and doctor is to the immediate left of engineer.
G(doctor) A(engineer) E D(reporter) B F C.
There are only 3 people between engineer and painter which means that F will be the painterΒ and the Lawyer is to the immediate right of the Teacher which is not possible in this arrangement.Β
Thus, Case 2 is invalidated and the only final arrangement is :
A(doctor) - G(engineer) - E(Teacher) - D(Lawyer) - B(reporter) - F(painter) - C(actor).
According to the arrangement, only Option D is correct i.e. Lawyer is standing in the exact middle.
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