Carcass wrote:
This question is not so difficult just a bit of common sense.
Now, first of all you have to convert 60 feet into inches because the diameter of every circle is expressed in inches.
Remember that 1 foot is 12 inches.
60 feet = 720 inches.
However, 720 is the diameter of the tree, the circumference but we need the radius to compare with the radius of every single inside circle
720/2 = 360 radius of the entire trunk.
Now, every single circle has a distance of 30 diameters OR 15 radii
360/15 = 24
The answer is B
Thats an excellent approach.
I did a have a different approach, plz let me know if it works
As per the diag. below
Let consider the inner most circle as A
Now the diameter of the circle is = 30 inch
It is given there is a gap of 15 inch between 2 concentric circles, hence the diameter of the next bigger circle i.e B will increase the diameter by 30 inch, and it goes all the way till it matches with the last circle having the diameter of = 60 feet = 720 inches.
Hence the total number of circles formed = \(\frac{720}{30}\) = 24
Therefore the age of the tree was = 24 yrs
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