Latest self Aptitude Question SOLUTION: There is a circular field having four doors in North,East,West and South.A person walks 3 metres from north and another coms out of the south door and walks 9 metres towards East s

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(#M40036336) SELF Logical Reasoning question direction Keep an EYE

There is a circular field having four doors in North,East,West and South.A person walks 3 metres from north and another coms out of the south door and walks 9 metres towards East so that he can able to see the first person.What is the diameter of the field?

J.DHANDAPANI (10 years ago)

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Devendra Marghade  (10 years ago)

Diameter=9 m.

The two persons will be at two end of a tangent to a circle & hypotenuse of a right angled triangle with sides (3+2r) & 9 ,if r=radius of a circle.


If perpendicular from center divides this tangent say in x & y, then
Applying pythagoras theorem, at three different rt. angled triangle.

x^2+r^2=(3+r)^2 , x^2=6r+9 ---(i) &

r^2+y^2=r^2+9^2 ,y=9 ---(ii) &

(3+2r)^2+9^2=(x+y)^2 ---(iii)

Substituting the value of x & y from (i) & (ii) into (iii), we get
4r^4+12r^3+9r^2-486r-729=0
On solving above equation, we have r=4.5, So diameter=9 m.

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Dr.Dipin Singh  (10 years ago)

It is not clear
in which direction the person coming out of north door walks 3 kms ?

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Rajpoot  (10 years ago)

9m is the answer and question is clear

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Ann Theressa  (10 years ago)

@Rajpoot
Can u please explain your answer.

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Ann Theressa  (10 years ago)

Thankyou @DEVENDRA

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