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(i) There are six members in a club L A,...

(i) There are six members in a club L A, B, C, D, E and F.
(ii) A is not the heaviest while E is not the most intelligent.
(iii) The lightest of the group is the most intelligent of the group.
(iv) B is more intelligent than D, who is more inrelligent than F.
(v) A is less intelligent than D but is heavier than D.
(vi) B is heavier than C but ligher than F.
(vii) F is more intelligent than A while D is heavier than F.
What is the rank of B in the decreasing order of weight ?

A

Third

B

Fourth

C

Fifth

D

Can't say

Text Solution

Verified by Experts

The correct Answer is:
C

From (iv) : `B gtDgtF` (intelligence)
From (v) : `DgtA` (intelligence), `AgtD` (weight)
From (vi) : `FgtBgtC` (weight)
From (vii): `FgtA` (intellligence), `DgtF` (weight)
These can be combined as : `BgtDgtFgtA` (intelligent)
`AgtDgtFgtBgtC` (weight)
Now, A is not the heaviest. But A is heavier than all except F. So, E must be the heaviest. Hence, we have:
`EgtAgtDgtFgtA` (intelligence).
Note : The exact position of E in terms of intelligence cannot be found using the given data. All that we can say is that E is less intelligent thanh C is the most intelligent.
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