To determine the most intelligent child based on the provided information, let's summarize the relationships between the children:
\(A\) is less intelligent than \(B (A < B)\).
\(C\) is less intelligent than \(D (C < D)\).
\(A\) is less intelligent than \(C (A < C)\).
\(A\) is more intelligent than \(E (A > E)\).
Now let's combine this information:
\(A < B\)
\(A < C < D\) (since \(C\) is less intelligent than \(D\), and \(A\) is less intelligent than \(C\))
\(A > E\)
Therefore, the hierarchy of intelligence from least to most intelligent is:
\(E < A < C < D\).
Since \(B\) is more intelligent than \(A\), but there is no direct comparison between \(B\) and \(D\), we know the hierarchy of \(A, C,\) and \(D\) but not between \(B\) and \(D\).
From the given information, \(D\) is the most intelligent child.
So, the correct option is \((C): D\).
A, B, C, D, E, F and G are travelling in three different vehicles: Swift, Creta, and Nexon. There are at least two passengers in each vehicle. Among them, only two are male. There are two engineers, two doctors and three teachers.
(i) C is a lady doctor and she does not travel with A and F, who are sisters.
(ii) B, a male engineer, travels with only G, a teacher, in a Swift.
(iii) D is a male doctor.
(iv) Two persons belonging to the same profession do not travel in the same vehicle.
(v) A is not an engineer and travels in a Creta.
(vi) The pair of sisters A and F travels in the same vehicle.
What is the profession of F?