Latest CAT Aptitude Question SOLUTION: Four horses are tethered at four corners of a square plot of side 14 metres so that the adjacent horses can reach one another. There is a small circular pond of area 20m^2 at the c

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Four horses are tethered at four corners of a square plot of side 14 metres so that the adjacent horses can reach one another. There is a small circular pond of area 20m^2 at the center. The area let ungrazed is

(1)22 m^2
(2)42 m^2
(3)84 m^2
(4) 168 m^2

Asked In CAT Vignesh (12 years ago)

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Pargat Pal Singh  (12 years ago)

22 m^2

Area of the square field = 14 x 14 = 196 m^2

As the horses can reach each other, the rope length is 7 mtrs.

Area one horse can graze inside the plot= pi*7*7/4 sq mtr

Area grazed by 4 horses = (22/7)* 7* 7 = 154m^2.

Area of circular pond in the centre = 20m^2

Remaining area = 196 – (154 +20) = 22 sq mtr

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