## Geometry Questions for SSC CGL

Despite the fact that SSC CGL geometry questions are crucial, due to the extensiveness of the syllabus, students often ignore this topic. Moreover, the principles we learned till Class 10 are only slightly expanded in SSC CGL Geometry Questions. As a result, if approached methodically, one can easily master the art of solving SSC CGL Geometry Questions within a few months only!

## SSC CGL Geometry Topics

SSC CGL Geometry Syllabus is very vast, and aspirants should know the major topic that has been asked in the CGL exam over the years. Listed below are a few important SSC CGL Geometry topics that one must study if he aims to crack the SSC CGL in the first attempt.

**Basics of Geometry****Polygons****Triangle****Circle****Quadrilateral****Miscellaneous (Covering Mensuration)**

If you understand the fundamentals of the topics described above, they are simple. To answer their questions more effectively, you must thoroughly grasp the concepts. Most of the SSC CGL Geometry questions will be based on figures therefore, understand all the laws and theorems. You should have information on your tips about angles, lines, chords, tangents, different kinds of triangles, etc.

## SSC CGL Geometry Syllabus

For your reference, a systematic and detailed SSC CGL Syllabus for Geometry is provided below. Candidates are advised to go through the detailed SSC CGL Geometry Syllabus to kickstart their preparation for SSC CGL 2022.

- Comprehending the basic concepts of SSC CGL Geometry
- Understanding the base-level concepts of geometry itself
- An introduction to Parallel lines
- An introduction to triangles
- Concepts and theorems of triangles
- Basic concept of Orthocentre
- Questions on Triangles
- Basic concepts of similar and congruent triangles
- Concepts of similar triangle theorems
- An introduction to quadrilaterals
- Questions related to Rhombus and Trapezium
- Basic concepts of Trapezium
- Basic concepts of Polygons
- An introduction to Circles
- Basic concepts of chords
- Important theorems pertaining to Circles
- Important SSC CGL Geometry questions covering circles

## SSC CGL Geometry Previous Year Questions

Solving SSC CGL Previous Year Question Paper is one of the best ways to cognizant yourself with the types of questions asked and know your weak areas. Also, if you are lucky enough, then you might see a few questions getting repeat with a sight modification! Take a look at the important SSC CGL Geometry Previous Year Questions listed below.

1. The radii of two circles are 4 cm and 3 cm, respectively. What is the diameter (in cm) of the circle having an area equal to four times the sum of the areas of the two circles?

A. 12B. 20

C. 24

D. 10

2. In the following figure, MN is a tangent to a circle with centre O at point A. If BC is diameter and ∠ ABC = 42°, then find the measure of ∠ MAB.

A. 84°

B. 48°

C. 42°

D. 45°

3. In a ΔABC, D, E and F are the mid-points of side BC, CA and AB, respectively. If BC = 14.4 cm, CA = 15.2 cm and AB = 12.4 cm, what is the perimeter (in cm) of the ΔDEF?

A. 42B. 28

C. 21

D. 35

4. PQ and RS are two parallel chords of a circle of length 14 cm and 48 cm, respectively, and lie on the same side of the centre O. If the distance between the chords is 17 cm, what is the radius (in cm) of the circle?

A. 28B. 24

C. 25

D. 20

5. In Δ ABC, the perpendicular drawn from A, B and C meet the opposite sides at points D, E and F, respectively. AD, BE and CF intersect at point P. If ∠EPD = 110° and the bisectors of ∠A and ∠B meet at point Q, then

∠ AQB = ?

A. 115°B. 110°

C. 135°

D. 125°

6. In the following figure, AD bisects angle BAC. Find the length (in cm) of BD.

A. 4B. 5

C. 9

D. 6

7. AB is the diameter of a circle with centre O. C and D are two points on the circle on either side of AB, such that ∠ CAB = 52° and ∠ ABD = 47°. What is the difference (in degrees) between the measures of ∠CAD and ∠ CBD?

A. 10B. 15

C. 25

D. 20

8. AB and CD are two chords in a circle with centre O and AD is the diameter. When produced, AB and CD meet at the point P. If ∠DAP = 27°, ∠APD = 35°, then what is the measure (in degrees) of ∠DBC?

A. 28B. 26

C. 30

D. 32

9. The radii of two concentric circles with centre O are 26 cm and 16 cm. Chord AB of the larger circle is tangent to the smaller circle at C and AD is a diameter. What is the length of CD?

A. 42 cmB. 36 cm

C. 35 cm

D. 38 cm

10. In triangle ABC, the bisector of angle BAC meets BC at point D in such a way that AB= 10 cm, AC = 15 cm and BD = 6 cm. Find the length of BC (in cm).

A. 17B. 11

C. 15

D. 9

11. The perimeters of two similar Δ ABC and Δ PQR are 48.4 cm and 12.1 cm, respectively. What is the ratio of the area of Δ ABC and Δ PQR?

A. 4:1B. 1:16

C. 16:1

D. 1:4

12. AB is a chord of a circle with centre O. C is a point on the circle in the minor sector. If ∠ABO = 50°, then what is the degree measure of ∠ACB?

A. 100°B. 130°

C. 110°

D. 140°

13. In a triangle ABC, points P and Q are on AB and AC, respectively, such that AP = 4 cm, PB = 6 cm, AQ = 5 cm and QC = 7.5 cm. If PQ = 6 cm, then find BC (in cm).

A. 10B. 9

C. 15

D. 12

14. In a circle with centre O, PQ and QR are two chords such that ∠PQR = 118°. What is the measure of ∠OPR?

A. 36°B. 26°

C. 31°

D. 28°

15. A triangle with the lengths of its sides proportional to the number 7, 24 and 30 is:

A. acute angledB. obtuse-angled

C. not possible

D. right-angled

16. In a right triangle ABC, right-angled at B, altitude BD is drawn to the hypotenuse AC of the triangle. If AD = 6 cm, CD = 5 cm, then find the value of AB^{2} + BD^{2} (in cm^{2}).

B. 96

C. 36

D. 66

17. In a triangle ABC, the bisector of angle BAC meets BC at point D such that DC = 2BD. If AC – AB = 5 cm, then find the length of AB (in cm).

A. 10B. 12

C. 7

D. 5

18. In a circle with a centre O and of radius 13 cm, two parallel chords are drawn on different sides of the centre. If the length of one chord is 10 cm and the distance between the two chords is 17 cm, then find the difference in lengths of the two chords (in cm).

A. 10B. 14

C. 24

D. 12

## SSC CGL Geometry Books

Below are the important SSC CGL Geometry books that an aspirant must have for the complete preparation of the SSC CGL Geometry section for the upcoming SSC CGL 2022 examination.

- Magical Books On Quicker Maths by M-Tyra (BSC publication)
- SSC Mathematics 5800+ by Kiran Publication
- Online Quiz (thousands of questions to practice are available) by BYJU'S Exam Prep

### Things to Remember while attempting SSC CGL Geometry Questions

- Don't attempt the questions until you have completely read them.
- Don't make any guesses. Negative marking is there, so if you are not confident about any question, then don't waste your time to solve it as it will only waste your time and deduct your marks.
- Don't spend more time than the allotted time.

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