1 
In the given figure AMD, APQ and ASR are secants to the given circles. IF AM=4 cm, MD=6 cm and...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Chord

2 
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

3 
AB is the diameter of the given circle, while points C and D lie on the circumference as shown. If A...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents

4 
A circle with radius 2 is placed against a right angle. Another smaller circle is also placed as sho...
CAT
Quantitative Ability
Geometry
Circles

5 
What is the distance in cm between two parallel chords of lengths 32 cm and 24 cm in a circle of rad...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Chord

6 
A rectangle is inscribed in a circle centre O as shown below, with AB = 5, BC = 12 and angle &a...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

7 
Two chords AB and CD of a circle intersect at E such that, AE = 2.4 cm, BE = 3.2 cm and CE = 1.6 cm....
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Chord

8 
In the given triangle ABC, DE is drawn parallel to BC such that AD:DB is 2:1 and DE is 14 cm. A circ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

9 
Two circles touch each other externally. If the sum of their areas is 130 π cm2 and the distance...
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors

10 
In the figure below, P, Q, and R are points on a circle with center O. The tangent to the circle at ...
CAT
Quantitative Ability
Geometry
Circles

11 
In the given figure, PS is a tangent to a circle with radius 10 cm and centre at O. PQ = 9 cm and th...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

12 
In the given figure, a circle is inscribed in the square such that it touches all four sides of the ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles

13 
The given figure shows a circle with centre O. AB is a chord on the circle such that AP=(11x+2) cm, ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Chord

14 
A chord AB of a circle of radius 5.25 cm makes an angle of 60 degree at the center of the c...
CAT
Quantitative Ability
Geometry
Circles

15 
Four circular cardboard pieces, each of diameter 28 cm are placed in such a way that each piece touc...
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors

16 
If a wire is bent into the shape of a square, then the area of the square of 121 m2. If the wire is ...
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors

17 
PQRS is a square. SR is a tangent (at point S) to the circle with centre O and TR = OS. Then the rat...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents

18 
In the given figure, measure of BAC is Type in your answer as Integer. For example, 23.7 to 24. ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

19 
In the figure given below, O is the center of the center, MNO=20o, and NMP=60o, the measu...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

20 
The measure of ADB is: Type in your answer as in Integer. For example, 62.3 to 62. ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

21 
In the figure below is a circle with centre O, and another circle with centre at the midpoint B...
CAT
Quantitative Ability
Geometry
Circles

22 
In the given figure, O as center the of the circle, AB = BC = radius of circle. Find the measurement...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

23 
PR and QP are tangents to the bigger circle, PS and PR are tangents to the smaller circle. Length of...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

24 
The area of the largest triangle that can be inscribed in a semicircle with radius r is:
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors

25 
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

26 
A wire 66 cm long has been put in the form of a circle. Find the area of the circle so formed. Type...
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors

27 
In the figure given below, AP and PB are tangents to the circle with radius 5 cm. Find the length of...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

28 
Two concentric circles have radii 5 cm and 3 cm. The length of the chord of the larger circle which ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

29 
An arc makes an angle of 72o at the centre of a circle of radius 10 cm. Length of the arc is ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

30 
In the given figure, two circles with their centres O and O’ intersect each other at A and B. ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles

31 
ABCD is quadrilateral inscribed inside a circle with centre O such that AB is the diameter of the ci...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

32 
In the figure given below, the measure of angle PRQ is 75o. QP and QR are tangents to the circle. Me...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

33 
In the given figure, AD=BA, BDA=54o, BC and CD are tangents to the circle with centre O. Measure of ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

34 
For the figure given below, find the value of x Type in your answer as in integer. For e...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Secant

35 
In the figure, O and O’ are the centres of the bigger and smaller circles respectively and sma...
CAT
Quantitative Ability
Geometry
Circles

36 
If ABO = 20o and ACO =25o, then the measure of BOC is: Type in your answer as in Integer. For exa...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles

37 
In the figure, where the two arcs are quarter circles, the area of the shaded region is Type...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Circles

38 
A circle is inscribed inside a square. The square is inscribed inside another circle. If the area of...
CAT
Quantitative Ability
Geometry
Circles

39 
In the figure given below, O, Q, P, R are respective centres of circles of different radii and each ...
CAT
Quantitative Ability
Geometry
Circles

40 
A cow is tied to a peg at one corner of an equilateral triangle shaped grass field by means of a 21 ...
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors

41 
The diagram below shows a circle with centre O and AB parallel to CD. Given the angles 75◦ and ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

42 
Two circles of radius 1 cm. touch at point P. A third circle is drawn through the points A, B, and C...
CAT
Quantitative Ability
Geometry
Circles

43 
What would be the cost of building a 7 m wide garden around a circular field with a diameter of 280 ...
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors
