TESTfunda - CAT Question of the Day 02-Oct-12

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Testfunda
02-Oct-12
CAT Question of the Day
In triangle ABC, AC = 450 and BC = 300. Points K and L are located on AC and AB respectively such that AK = CK, and CL is the angle bisector of angle C. Let P be the point of intersection of BK and CL, and let M be the point on line BK for which K is the midpoint of PM. If AM = 180, find LP.
OPTIONS
 
 1)105
 2)90
 3)72
 4)None of These
Tip of the Day
If [x] denotes the greatest integer less than or equal to x, then for a real number, x,

[x] + [x + 1/n] + [x + 2/n] + [x + 3/n] + … + [x + (n - 1)/n] = [nx]
Last year's Question of the day (01-Oct-11)
P is the centre of a square constructed on the hypotenuse AC of a right-angled triangle ABC. Find ∠ ABP.
OPTIONS
 
 1)30°
 2)45°
 3)60°
 4)75°
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