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In a family of six, there are three men ...

In a family of six, there are three men A, B and C and three women R, S and T. The six persons are Architect, Lawyer, CA, Professor, Doctor and Engineer by profession, but not in the same order. There are two married couples and two unmarried persons. C is not R's husband. The Doctor is married to a Lawyer. R's grandfather is a Professor. B is neither A's son nor he is an Architect or a Professor. The Lawyer is T's daughter-in-law. C is T's son and the Engineer's father. A is married to the CA. Which among the following is the correct pair of married couples?

A

Y and A

B

Y and B

C

Z and A

D

Z and B

Text Solution

Verified by Experts

The correct Answer is:
A

According to the given information:
Three men : X, Y and Z.
Three women : A, B, and C
Professions: Architect, Lawyer, Chartered Accountant (CA), Professor, Doctor and Engineer.
From (I), we get
Doctor `overset("married to")rarr` lawyer.
From (iv), we get
A.s father `rArr` a professor.
From (vii), we get `X overset("married to")rarr CA`.
From (iv), we get
`X rArr` a professor, whose wife is a CA. ...(viii)
From (vi), and (vii) we get
`C rArr` wife of `X rArr` CA. ...(ix)
So, son of X and `C rArr` a doctor. ....(ix)
From (v), we get
`Z rArr` X.s Son `rArr` a doctor ....(xi)
C `rArr` mother of Z. ...(xii)
So Z.s wife `overset("must be")rarr` A or B. ....(xiii)
But, A `rArr` X.s daughter and sister of Z. ....(xiv)
So, B `rArr` Z.s wife `rArr` a lawyer ....(xv)
By elimination, we get
`Y overset("must be")rarr` Architect or Engineer. ...(xvi)
From (v), we get
`Y rArr` an engineer ....(xvii)
By elimination, we get
A `rArr` an architect [(xviii)]
By analysing the given information, it is clear that two unmparried `rArr` Y and A.
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