1 An isosceles PQR with base PQ = 6 cm, PR = RQ and RPQ = 30° is inscribed in a circle. A small ci...
CAT Quantitative Ability Geometry Triangles Circles
2 The area of a circle inscribed in an equilateral triangle is 462 cm2. The perimeter of the triangle ...
CAT Quantitative Ability Geometry Triangles Area of Triangle
3 For a triangle ABC right angled at A, AD is a perpendicular drawn on BC. Which of the foll...
CAT Quantitative Ability Geometry Triangles Similarity of Triangles
4 In the given figure, l is a line parallel to base BC. l intersects AB and AC at D and E respect...
CAT Quantitative Ability Geometry Triangles Similarity of Triangles
5 ΔABC and ΔPQR are two similar triangles such that the ratio of the areas of ΔABC a...
CAT Quantitative Ability Geometry Triangles Area of Triangle
6 The sides of a triangular plot are in the ratio of 3:5:4 and its perimeter is 36 m. Its area is: &n...
CAT Quantitative Ability Geometry Triangles Area of Triangle
7 Triangle ABC is an equilateral triangle. The measure of BAD (in degrees) is  Type in yo...
CAT Quantitative Ability Geometry Triangles Properties of Triangles
8 In the given figure, AB measures 40 cm and BD measures 60 cm. BD is the angle bisector of both &nbsp...
CAT Quantitative Ability Geometry Triangles Congruency of Triangles
9 An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. The area of the tria...
CAT Quantitative Ability Geometry Triangles Area of Triangle
10 In triangle ABC, AC is parallel to DE. AD:DB = 1:2. What is the length of BE? Type in your answer...
CAT Quantitative Ability Geometry Triangles Similarity of Triangles
11 In the given figure, ABCD is a square (all sides are equal and all internal angles are 90o) and DCE ...
CAT Quantitative Ability Geometry Triangles Properties of Triangles
12 Area of the triangle given in the figure below is: Type in your answer as an integer. For ex...
CAT Quantitative Ability Geometry Triangles Area of Triangle
13 In the given figure, AED = ABC. Find the value of x. Type in your answer as an integer. For examp...
CAT Quantitative Ability Geometry Triangles Similarity of Triangles
14 The perimeter of an isosceles triangle is 28 cm and the ratio of the length of the lateral...
CAT Quantitative Ability Geometry Triangles Area of Triangle
15 In the given figure, O is the center of the circle. AC, the diameter of the circle, measures 26 cm. ...
CAT Quantitative Ability Geometry Triangles Pythagoras Theorem Circles
16 In the given triangle, AD bisects A. The largest side among AB, BD and CD is: Type in your a...
CAT Quantitative Ability Geometry Triangles Properties of Triangles
17 Area of an equilateral triangle is 49√3 cm2. Radius of the circle circumscribing the triangle ...
CAT Quantitative Ability Geometry Triangles Area of Triangle
18 In the given ABC, BCA=BAC. What can be the perimeter of ADC, if all sides have i...
CAT Quantitative Ability Geometry Triangles Properties of Triangles
19 In triangle ABC, CE and BF are medians to equal sides AB and AC respectively. Which of the following...
CAT Quantitative Ability Geometry Triangles Similarity of Triangles
20 In the given figure, AD and BE are medians of ABC. If DF is parallel to BE, length of side EF is: ...
CAT Quantitative Ability Geometry Triangles Similarity of Triangles Angle Bisector Theorem
21 Area of the triangle, two sides of which are 32 cm and 40 cm, and perimeter 96 cm, is:  Type i...
CAT Quantitative Ability Geometry Triangles Area of Triangle Heron's Formulae
22 If the area of an equilateral triangle is 24 3 m2, then its perimeter is ...
CAT Quantitative Ability Geometry Triangles Area of Triangle
23 ΔABC and ΔDBF are equilateral triangles such that D is mid-point of BC. What is the rati...
CAT Quantitative Ability Geometry Triangles Area of Triangle
24 Which is the largest side of the following triangle? Type in your answer in a clockwise mann...
CAT Quantitative Ability Geometry Triangles Properties of Triangles
25 In the given figure, AC = AE, AB = AD, and ∠BAD = ∠EAC. The length of side DE is: Type in...
CAT Quantitative Ability Geometry Triangles Similarity of Triangles
26 A boy with height 90 cm is standing parallel to the lamp post, which is 3.6 m away from the boy...
CAT Quantitative Ability Geometry Triangles Similarity of Triangles
27 If the ratio of the perimeters of the two similar triangles is 3:1, then the ratio of their area is:...
CAT Quantitative Ability Geometry Triangles Area of Triangle
28 For triangles ABD and CDB, AD = DC and AB = CB. Find (x + y) Type in your answer as an integer. F...
CAT Quantitative Ability Geometry Triangles Similarity of Triangles
29 ABCD is a rectangle and E is a point on the line parallel to diagonal BD. BC is 4 cm and area o...
CAT Quantitative Ability Geometry Triangles Area of Triangle
30 The centroid of an isosceles triangle divides each median in the ratio:
CAT Quantitative Ability Geometry Triangles
31 For the given triangle, BE and AD are altitudes on sides AC and BC respectively. If BE = 20, AD = 16...
CAT Quantitative Ability Geometry Triangles Area of Triangle