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Geometry CAT Previous Year Questions with Answer PDF

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Question for CAT Previous Year Questions: Geometry
Try yourself:A circle of diameter 8 inches is inscribed in a triangle ABC where∠ABC=90. If BC = 10 inches then the area of the triangle in square inches is

[2021]

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Question for CAT Previous Year Questions: Geometry
Try yourself:Suppose the length of each side of a regular hexagon ABCDEF is 2 cm.It T is the mid point of CD,then the length of AT, in cm, is

[2021]

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Question for CAT Previous Year Questions: Geometry
Try yourself:If the area of a regular hexagon is equal to the area of an equilateral triangle of side 12 cm, then the length, in cm, of each side of the hexagon is

[2021]

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Question for CAT Previous Year Questions: Geometry
Try yourself:AB is a diameter of a circle of radius 5 cm. Let P and Q be two points on the circle so that the length of PB is 6 cm, and the length of AP is twice that of AQ. Then the length, in cm, of QB is nearest to

[2019]

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Question for CAT Previous Year Questions: Geometry
Try yourself:In a triangle ABC, medians AD and BE are perpendicular to each other, and have lengths 12 cm and 9 cm, respectively. Then, the area of triangle ABC, in sq cm, is

[2019]

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Question for CAT Previous Year Questions: Geometry
Try yourself:Two circles, each of radius 4 cm, touch externally. Each of these two circles is touched externally by a third circle. If these three circles have a common tangent, then the radius of the third circle, in cm, is

[2019]

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Question for CAT Previous Year Questions: Geometry
Try yourself:Let A and B be two regular polygons having a and b sides, respectively. If b = 2a and each interior angle of B is 3 / 2 times each interior angle of A, then each interior angle, in degrees, of a regular polygon with a + b sides is

[2019 TITA]

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Question for CAT Previous Year Questions: Geometry
Try yourself:Let ABC be a right-angled triangle with hypotenuse BC of length 20 cm. If AP is perpendicular on BC, then the maximum possible length of AP, in cm, is

[2019]

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Question for CAT Previous Year Questions: Geometry
Try yourself:In a circle with centre O and radius 1 cm, an arc AB makes an angle 60 degrees at O. Let R be the region bounded by the radii OA, OB and the arc AB. If C and D are two points on OA and OB, respectively, such that OC = OD and the area of triangle OCD is half that of R, then the length of OC, in cm, is

[2018]

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Question for CAT Previous Year Questions: Geometry
Try yourself:Given an equilateral triangle T1 with side 24 cm, a second triangle T2 is formed by joining the midpoints of the sides of T1. Then a third triangle T3 is formed by joining the midpoints of the sides of T2. If this process of forming triangles is continued, the sum of the areas, in sq cm, of infinitely many such triangles T1, T2, T3,... will be

[2018]

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Question for CAT Previous Year Questions: Geometry
Try yourself:Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which one of the following pairs can represent, in cm, the possible length and breadth of ABCD?

[2018]

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Question for CAT Previous Year Questions: Geometry
Try yourself:Points E, F, G, H lie on the sides AB, BC, CD, and DA, respectively, of a square ABCD. If EFGH is also a square whose area is 62.5% of that of ABCD and CG is longer than EB, then the ratio of length of EB to that of CG is:

[2018]

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Question for CAT Previous Year Questions: Geometry
Try yourself:In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, is

[2018]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Geometry
Try yourself:On a triangle ABC, a circle with diameter BC is drawn, intersecting AB and AC at points P and Q, respectively. If the lengths of AB, AC, and CP are 30 cm, 25 cm, and 20 cm respectively, then the length of BQ, in cm, is

[2018 TITA]

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Question for CAT Previous Year Questions: Geometry
Try yourself:A chord of length 5 cm subtends an angle of 60° at the centre of a circle. The length, in cm, of a chord that subtends an angle of 120° at the centre of the same circle is

[2018]

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Question for CAT Previous Year Questions: Geometry
Try yourself:From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is:

[2017]

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Question for CAT Previous Year Questions: Geometry
Try yourself:Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km, respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is:

[2017 TITA]

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Question for CAT Previous Year Questions: Geometry
Try yourself:Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is

[2017]

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Question for CAT Previous Year Questions: Geometry
Try yourself:The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10 cm and 20 cm while the other two sides are of equal length. The perpendicular distance between the parallel sides of the trapezium is 12 cm. If the height of the pillar is 20 cm, then the total area, in sq cm, of all six surfaces of the pillar is

[2017]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Geometry
Try yourself:ABCD is a quadrilateral inscribed in a circle with centre O. If ∠COD = 120 degrees and ∠BAC = 30 degrees, then the value of ∠BCD (in degrees) is

[2017 TITA]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Geometry
Try yourself:If three sides of a rectangular park have a total length 400 ft., then the area of the park is maximum when the length (in ft.) of its longer side is

[2017 TITA]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Geometry
Try yourself:Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB. If the perpendicular distance of P from each of AB, BC, and CA is 4(√2 - 1) cm, then the area, in sq. cm, of the triangle ABC is

[2017 TITA]

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The document Geometry CAT Previous Year Questions with Answer PDF is a part of the CAT Course Quantitative Aptitude (Quant).
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FAQs on Geometry CAT Previous Year Questions with Answer PDF

1. What are the different types of angles in geometry?
Ans. In geometry, there are several types of angles. Some of the commonly known types include right angles, acute angles, obtuse angles, straight angles, and reflex angles. Each angle has its own unique characteristics and measures.
2. How can I find the area of a triangle in geometry?
Ans. To find the area of a triangle, you can use the formula A = (base x height) / 2. The base refers to the length of the triangle's base, and the height refers to the perpendicular distance from the base to the opposite vertex. By substituting the values into the formula, you can calculate the area of the triangle.
3. What is the Pythagorean theorem and how is it used in geometry?
Ans. The Pythagorean theorem is a mathematical principle that states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This theorem is widely used in geometry to solve various problems, including finding the lengths of the sides of a right-angled triangle.
4. How can I determine the volume of a cylinder in geometry?
Ans. To calculate the volume of a cylinder, you can use the formula V = πr^2h, where V represents the volume, r is the radius of the base, and h is the height of the cylinder. By substituting the values into the formula, you can find the volume of the cylinder.
5. What is the difference between a polygon and a polyhedron in geometry?
Ans. In geometry, a polygon refers to a two-dimensional closed figure with straight sides. Examples of polygons include triangles, quadrilaterals, pentagons, etc. On the other hand, a polyhedron refers to a three-dimensional solid figure with flat polygonal faces, straight edges, and sharp corners. Examples of polyhedra include cubes, pyramids, prisms, etc.
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