A circle passes through the vertex A of an equilateral triangle ABC and is tangent to BC at its midpoint

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Previous Question: A right circular solid cone has a curved surface area of 24Ï€ sq. units such that the radius (in units) and the slant height (in units) of the cone are integers. The cone has maximum possible volume. A right circular cylinder is casted by melting the whole cone. If the radius of such a cylinder is twice its height, then what will be the height (in units) of the cylinder?

1) 4*3^(1/6)*5^(1/3)
2) 2*3^(1/6)*5^(1/3)
3) 2*5^(1/6)/3^(1/3)
4) 2*5^(1/3)/3^(1/3)
Next Question: The average of five natural numbers is 150. A particular number among the five exceeds another by 100. The rest three numbers lie between these two numbers and they are equal. How many different values can the largest number among the five take?

1) 59
2) 19
3) 21
4) 42

(#M40014967) MBA question mensuration, geometry & co-ordinate geometry Keep an EYE

A circle passes through the vertex A of an equilateral triangle ABC and is tangent to BC at its midpoint. Find the ratio in which the circle divides each of the sides AB and AC.

1) 1:1
2) 3:2
3) 3:1
4) 2:1: Asked In MBA (11 years ago); Unsolved; Is this Puzzle helpful? (4) (5) Submit Your Solution

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(#M40014967) MBA question mensuration, geometry & co-ordinate geometry Keep an EYE