
SSC Geometry Questions test the knowledge of candidates in fundamental concepts of geometry, like triangles, circles, quadrilaterals, and related properties of angles, sides, medians, and areas. These include formula-based questions, theorem-based questions, and application-based problems as per the usual pattern in SSC CGL, CHSL, MTS, GD, and other SSC exams.
The key to mastering SSC geometry questions lies in developing a clear understanding of how and where to apply the formulas and concepts of geometry. Regular practice of SSC geometry problems strengthens problem-solving skills and confidence.
Candidates can download the detailed SSC Geometry questions PDF by clicking on the link below. The PDF consists of important SSC CGL geometry questions, SSC CHSL geometry questions, SSC MTS geometry questions, SSC GD geometry questions, with ans. Analyze each question with given formulas and methods to prepare effectively.
Given below are the download links for the SSC Geometry Questions PDF
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SSC Geometry Questions PDF |
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SSC Geometry Questions PDF in English |
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SSC Geometry Questions PDF in Hindi |
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Keeping key SSC geometry formulas and theorems handy can save precious time during exams. Below is a list of important SSC geometry formulas frequently useful across various SSC exams:
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SSC Geometry Formulas and Concepts for Quick Revision |
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Topic |
Formula / Explanation |
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Sum of angles in a triangle |
180° |
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Pythagoras Theorem |
a² + b² = c² (in a right-angled triangle) |
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Area of triangle |
½ × base × height |
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Area of circle |
πr² |
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Circumference of circle |
2πr |
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Properties of similar triangles |
Corresponding sides are in proportion, and corresponding angles are equal |
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Median of a triangle |
Formula involving Apollonius theorem |
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Area of rhombus |
½ × d₁ × d₂ (where d₁ and d₂ are diagonals) |
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Sum of interior angles of a polygon |
(n − 2) × 180°, where n is the number of sides |
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Vertically opposite angles |
Equal |
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Angle between tangents and radius |
Angle between tangents = twice the angle between radius and chord |
SSC Geometry Questions typically involve topics like properties of triangles, circles, polygons, areas, perimeters, medians, and angles. These SSC geometry important questions test understanding of geometric formulas, theorems, and problem-solving skills.
Q1. The angles of a triangle are in the ratio 2:3:7. What is the measure of the largest angle of the triangle?
(A) 100°
(B) 45°
(C) 90°
(D) 105°
Q2. If an angle of a right-angled triangle is 35°, then find the other angles.
(A) 90° and 75°
(B) 90° and 55°
(C) 90° and 35°
(D) 90° and 45°
Q3. In the given figure, if AC, DE are parallel and ∠CAB = 38°, then the value of ∠ABC + 5∠CBD is:
(A) 196°
(B) 218°
(C) 178°
(D) 158°
Q4. The sum of three sides of an isosceles triangle is 20 cm and the ratio of equal side to the base is 3 : 4. The altitude of the triangle is:
(A) 4√5 cm
(B) 3√5 cm
(C) 2√5 cm
(D) 5√5 cm
Q5. In an isosceles triangle, if the unequal angle is 4 times the sum of the equal angles, then each equal angle is:
(A) 25°
(B) 30°
(C) 21°
(D) 18°
Q6. The perimeter of an isosceles triangle is 90 cm. If the base is 26 cm, then find the length of the equal sides.
(A) 32 cm
(B) 30 cm
(C) 40 cm
(D) 42 cm
Q7. Let ΔABC ∼ ΔQPR and (Area of ΔABC):(Area of ΔQPR) = 121:64. If QP = 14.4 cm, PR = 12 cm and AC = 18 cm, then what is the length of AB?
(A) 32.4 cm
(B) 21.6 cm
(C) 19.8 cm
(D) 16.2 cm
Q8. If ΔABC ~ ΔXYZ and angle BAC = 55°, then angle ZXY = ?
(A) 67.5°
(B) 135°
(C) 65°
(D) 55°
Q9. Let ΔABC ~ ΔPQR and ar(ΔABC) / ar(ΔPQR) = 64 / 169 or ar(ΔPQR) / ar(ΔABC) = 169 / 64.
If AB = 10 cm, BC = 7 cm and AC = 16 cm, then PR (in cm) is equal to:
(A) 21
(B) 11
(C) 13
(D) 19
Q10. If ΔABC ∼ ΔPQR, AB = 4 cm, PQ = 6 cm, QR = 9 cm and RP = 12 cm, then find the perimeter of ΔABC.
(A) 18 cm
(B) 20 cm
(C) 16 cm
(D) 24 cm
Q11. If the areas of two similar triangles are in the ratio 5 : 7, then what is the ratio of the corresponding sides of these two triangles?
(A) 5 : 7
(B) 243 : 125
(C) √5 : √7
(D) 125 : 343
Q12. If in ΔABC and ΔDEF, DE/AB = EF/BC = FD/CA, then they will be similar when:
(A) ∠B = ∠D
(B) ∠A = ∠D
(C) ∠A = ∠F
(D) ∠B = ∠E
Q13. In ΔABC, AB, BC and AC are equal to 5 cm, 12 cm and 9 cm respectively. If the medium AD intersects the opposite side BC at D, find the measure of median AD.
(A) √17
(B) √18
(C) √19
(D) √16
Q14. In a triangle, two sides are 10 cm and 6 cm. The median to the third side is 7 cm. Find the length of the third side.
(A) √73
(B) √76
(C) √83
(D) √86
Q15. Find the area of triangle, whose length of median is 8 cm, 15 cm, and 17 cm.
(A) 70 cm²
(B) 80 cm²
(C) 60 cm²
(D) 30 cm²
Q16. Length of each side of a rhombus is 13 cm and one of the diagonals is 24 cm. What is the area (in cm²) of the rhombus?
(A) 300
(B) 240
(C) 60
(D) 120
Q17. What is the sum of all the vertically opposite angles in the given figure?
(figure with intersecting lines and angles marked a, b, c, d)
(A) 87°
(B) 70°
(C) 360°
(D) 243°
Q18. Find the length of one side of a rhombus whose area is 24 cm² and the sum of the lengths of its diagonals is 14 cm.
(A) 3 cm
(B) 6 cm
(C) 4 cm
(D) 5 cm
Q19. If the angle between two radii of a circle is 100°, then the angle between the tangents at the ends of the radii will be:
(A) 90°
(B) 70°
Q20. In a circle with center O, AB is a diameter and CD is a chord such that ∠ABC = 34° and CD = BD. What is the measure of ∠DBC?
(A) 30°
(B) 28°
(C) 32°
(D) 24°
Practicing SSC Geometry questions regularly helps strengthen conceptual understanding, improve accuracy, and boost problem-solving skills in geometry for SSC exams. It enhances familiarity with common question types and builds confidence in quantitative aptitude sections.
Here are some benefits of solving SSC geometry questions from the PDF and practice sets:
Strengthening key geometry concepts and theorems for SSC exams
Enhancing accuracy and speed in solving geometry problems
Familiarizing with SSC exam patterns in geometry questions
Improving problem-solving abilities and confidence
Self-assessment and identification of weaker areas for improvement
Candidates can also take SSC geometry quizzes on various online platforms to test their preparation and speed.
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