Geometry for CAT

I am preparing for CAT Entrance Exam. I will appear in this Exam next year. I need sample questions based on Geometry. So someone is here who will provide sample questions based on Geometry for CAT Entrance Exam?

Here I am providing sample question papers for Geometry Subject for CAT Entrance Exam for your reference:

CAT Entrance Exam Sample Questions based on Geometry
TRIANGLES - AREA
Sides of a triangle are 6, 10 and x for what value of x is the area of the △ the maximum?
8 cms
9 cms
12 cms
None of these

TRIANGLES - INTEGER VALUES
x, y, z are integer that are side of an obtuse-angled triangle. If xy = 4, find z.
2
3
1
More than one possible value of z exists

TRIANGLES - INTEGER VALUES
How many isosceles triangles with integer sides are possible such that sum of two of the side is 12?
11
6
17
23

NUMBER OF TRIANGLES
Perimeter of a △ with integer sides is equal to 15. How many such triangles are possible?
7
6
8
5

EQUILATERAL TRIANGLE AND SQUARE
There is an equilateral triangle with a square inscribed inside it. One of the sides of the square lies on a side of the equilateral △. What is the ratio of the area of the square to that of the equilateral triangle?
12 : 12 + 73–√3
24 : 24 + 73–√3
18 : 12 + 153–√3
6 : 6 + 53–√3

TRIANGLES - INTEGER VALUES
△ABC has integer sides x, y, z such that xz = 12. How many such triangles are possible?
8
6
9
12

RIGHT TRIANGLE PROPERTIES
Consider a right–angled triangle with inradius 2 cm and circumradius of 7 cm. What is the area of the triangle?
32 sq cms
31.5 sq cms
32.5 sq cms
33 sq cms

DIAGONALS OF OCTAGON
What is the ratio of longest diagonal to the shortest diagonal in a regular octagon?
√3 : 1
2 : 1
2 : √3
√2 : 1

ALTITUDE OF TRIANGLE
Find the altitude to side AC of triangle with side AB = 20 cm, AC = 20 cm, BC = 30 cm.
10√7
8√7
7.5√7
15√7

CHORDS OF A CIRCLE
A circle of radius 5 cm has chord RS at a distance of 3 units from it. Chord PQ intersects with chord RS at T such that TS = 1/3 of RT. Find minimum value of PQ
6√3
4√3
8√3
2√3

RHOMBUS - LENGTH OF THE DIAGONALS
Area of a Rhombus of perimeter 56 cms is 100 sq cms. Find the sum of the lengths of its diagonals.
33.40
34.40
31.20
32.30

TRIANGLE
Triangle ABC has angles A = 60° and B = 70°. The incenter of this triangle is at I. Find angle BIC.
90°
130°
80°
120°

ISOSCELES TRIANGLE
An acute-angled isosceles triangle has two of its sides equal to 10 and 16. Find the area of this triangle.
√231units
12√66units
24 units
5 √231units

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Answered By StudyChaCha Member