#2
 
 
Re: Geometry for Cat Problems
Here I am providing you with some solved problems: In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC? (1) 17.05 (2) 27.85 (3) 22.45 (4) 32.25 (5) 26.25 Correct Answer is 26.25  Choice (5) Explanation Area of a triangle = abc/4R, where a, b and c are lengths of the sides of the triangle and R is the radius of the circle circumscribing the triangle In this example, area of the triangle = (17.5*9*BC)/4R The area of any triangle can also be expressed as (1/2)*(BC * 3), as the altitude AD to the side BC is 3 cms. Equating the two and solving for R, we get R = 26.25 cms For more solved questions here I am attaching a PDF file which you can download for free
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#4
 
 
Re: Geometry for Cat Problems
As you want I am here giving you sample questions of the Geometry section of the CAT exam. Sample Question paper: Question 1 » What is the ratio measures of the inradius, circumradius and one of the exradius of an equilateral triangle? Question 2 » If in a triangle ABC, , then what can be said about the triangle? Question 3 » The equations of four lines are given below: x + 2y  3 = 0, 3x + 4y  7 = 0, 2x + 3y  4 = 0 and 4x + 5y  6 = 0. What can be said about the four lines? Question 4 » Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral? Question 5 » If the largest angle in a triangle is 70o, what is least possible value of the smallest angle of the triangle A circle of maximum possible size is cut from a square sheet of board. Subsequently, a square of maximum possible size is cut from the resultant circle. What will be area of the final square? What is the area of the largest triangle that can be fitted into a rectangle of length 'l' units and width 'w' units? Each interior angle of a regular polygon is 120 degrees greater than each exterior angle. How many sides are there in the polygon? A stairway 10ft high is such that each step accounts for half a foot upward and onefoot forward. What distance will an ant travel if it starts from ground level to reach the top of the stairway? Find the area of the triangle whose vertices are (6, 2), (4, 6), (2, 5). Find the area of the sector covered by the hour hand after it has moved through 3 hours and the length of the hour hand is 7cm. Find the equation of a line whose intercepts are twice of the line 3x – 2y – 12 = 0 Find the number of triangles in an octagon. Find the coordinates of the point which divides the line joining (5, 2) and (9, 6) internally in the ratio 1 : 3 What is the circum radius of a triangle whose sides are 7, 24 and 25 respectively? What is the measure of in radius of the triangle whose sides are 24, 7 and 25? If ABC is a right angle triangle with angle A = 900 and 2s = a + b + c, where a > b > c where notations have their usual meanings, then which one of the following is correct? If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have? What is the measure of the circum radius of a triangle whose sides are 9, 40 and 41?
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