(i) A, B, C, D, E and Fare six members in a family a family in which there are two married couples.
(ii) D is the brother of F. Both D and F are lighter than B.
(iii) B is the mother of D and lighter than E.
(iv) C , a lady, is neither the beaviest nor the lightest in the family.
(v) E is lighter than C.
(vi) The grandfather is the heaviest in the family.
Which of the following is a pair of married couples ?

Options

A. AD
B. BC
C. AB
D. None of these

Answer

D

Explanation

Let us contruct the family tree on the one hand and the line (in ascending order) of weight on the other. Let us take all the informations about weights.
These informations are : (i) Both D and F are lighter than B.
(ii) B is lighter than E.
(iii) C is neither the heaviest nor the lightest.
(iv) E is lighter than C.
(v) The grandfather is the heaviest.
The corresponding accomodations can be made pictorially as :
(i) D, `F lt B`
(ii) ` B lt E`
(iii) ....C... (C is not at any extreme)
(iv) `E lt C`
(v) all `lt` grandfather.
This can be accomodated in one diagram as,
`D, F lt B lt E lt C lt` grandfather.
obviously, the grandfather must be A. Hence,
`D, F lt B lt E lt C lt A` (grandfather).
Now, we take the family tree. The relevant informations are :
(i) There are two married couples.
(ii) D is the brother of F.
(iii) B is the mother of D.
(iv) C is a female.
Let us start with (iii). It can be represented as:
Now, to complete this tree, we have only three additional informations One, that A is the grandfather, two, that there are two married couples and three, that C is a female. This, obviously, is insufficient to complete the family tree. A could either be married to B or C. Or, he may as well be married to E, whose sex is unknown. Thus we see that as far as relations are concerned, we find .data inadequate for all the questions. Hence. our answers are: