Read the following information carefully and answer these questions :
(i) P, Q, R, S, T and U are six members of a group of which three are males and three are females.
(ii) There are two engineers, two lawyers, one teacher and one doctor in the group.
(iii) Q, T, P and R are two married couples and no two persons in this group have the same profession.
(iv) T, a teacher with blue dress, married a male lawyer with brown dress.
(v) Colour of the dresses of both the husbands and that of both the wives is the same.
(vi) Two persons have blue dress, two have brown and the remaining one each has black and green.
(vii) P is a male engineer whose sister S is also an engineer.
(viii) Q is a doctor.
Which of the following is a group of female members ?

Options

A. QSR
B. QST
C. QSU
D. QTU

Answer

B

Explanation

According to the given information:
From (iv), we get
`T rArr` a female teacher with blue dress.
From (vii), we get
`P rArr` a male engineer.
`S rArr` a female engineer `rArr` sister of P.
From (viii), we get
`Q rArr` a doctor
From (iv), (vii) & (viii), we get
`T overset("married to")rarr R.`
So, `R rArr` a male lawyer with brown dress. ...(ix)
So, one couple `rArr RT` ...(x)
From (iii), we get
Other couple `rArr PQ` ....(xi)
From (v), (x) & (xi), we get
`P rArr` brown dress. ...(xii)
`Q rArr` blue dress ....(xiii)
By elimination, we get
`U rArr` a lawyer
Both `S and U rArr` either black or green dress.

By analsying the above table, we get Female members `rArr` Q, S and T.