Which is the second letter in the meaningful word formed by the letters against numbers 6, 12, 14, and 20?
Fix the “anchors” first (multiples of 4 here), then place remaining letters using distance constraints; finally build any required word.
I
Multiples of 4 get the letters of SACRED in alphabetical order: $4\!\to\!A,\ 8\!\to\!C,\ 12\!\to\!D,\ 16\!\to\!E,\ 20\!\to\!R,\ 24\!\to\!S$. From the clues: $N$ is at 18; $P$ adjacent to $D$ but not at 14 $\Rightarrow P$ at 10; $U$ and $T$ six places apart with $U$ above $\Rightarrow U$ at 2, $T$ at 14; and $I$ at 6. Thus numbers $6,12,14,20$ carry letters $I,D,T,R$ which can form the word DIRT. The second letter is \(\boxed{I}\).
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?