If K D and G K what is the maximum area of the quadrilateral formed by joining points K G F and E ........

Logical Reasoning(Master ) Direction Sense

Directions : Read the following information carefully to answer the questions that follow. The questions are based on following coding formats:
# – North
@ – South
% – East
$ – West
! – Either 4 or 6 m
& – Either 3 or 10 m
Examples: P@Q means P is South of Q, P#$Q means P is North-West of Q, P$!Q means P is West of Q at a distance of either 4 or 6 m.
Conditions given are as:
I. A#&B
II. A#$C
III. C%B
IV. C$!D
V. E@&D
VI. F$!E
VII. G#!F
VIII. G@$C

If K@!D and G$K, what is the maximum area of the quadrilateral formed by joining points K, G, F and E?

24 m²

30 m²

18 m²

36 m²

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Explanation:

K@!D – K is south of D and at a distance of 4 or 6 m.
G is west of K. So figure formed by joining given points is a rectangle.
So if DK = 4, KE = FG = 6, and if DK – 6, then KE = FG = 4. Area will be maximum in 1st case.

So Ar of rectangle KEFG = FE*De = 6*6 = 36 m2

Hence, option 3 is the correct answer.