SSC Geometry Bilingual Test 2
Geometry / ज्यामिति practice from SSC Maths Selection Book 2025 — bilingual with timer, negative marking and explanations.
SSC Geometry Bilingual Test 2
Chapter-wise bilingual Geometry questions from SSC CGL, CHSL, CPO, GD, Delhi Police and Steno exams 2025. Solve at CBT pace with timer, negative marking and bilingual explanation review.
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Preview all 15 questions in SSC Geometry Bilingual Test 2 (no login required)
- Quantitative Aptitude — Geometry / ज्यामिति
1. In a circle of radius r , a chord subtends an angle 𝜽 (in radians) at the center. Which expression represents the length of the minor arc? तत्रज्या r वाले एि वृत्त में, एि जीवा िेंि पर 𝜽 (रेरडयन में) िोण अंतररत िरती है। िौन सा व्यंजि लघु र्ाप िी लंबाई िो दशाषता है?
- A. r𝜽 (Correct)
- B. 2r2𝜽
- C. 2rsin
- D. 2𝝅r
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (A) r𝜽.
- Quantitative Aptitude — Geometry / ज्यामिति
2. A circle of radius of 12 cm . Two radii are drawn such that the length of the chord connecting their endpoints is 12 cm . What is the area of the minor segment formed? तत्रज्या िा एि वृत्त 12 सेमी. दो तत्रज्याएाँ इस प्रिार खींर्ी गई हैं कि उनिे अंत कबिंदुओं िो जोडने वाली 12 सेमी जीवा िी लंबाई है बने छोटे खंड िा क्षेत्रिल क्या है?
- A. (12𝝅−18√3)sq. cm
- B. (24𝝅−36√3)sq. cm (Correct)
- C. (12𝝅−36√3)sq. cm
- D. (24𝝅−18√3)sq. cm
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (B) (24𝝅−36√3)sq. cm.
- Quantitative Aptitude — Geometry / ज्यामिति
3. A regular hexagon is inscribed inside a circle of radius 14 cm . Find the area of the hexagon. 14 सेमी तत्रज्या वाले एि वृत्त िे अन्दर एि समर्षट्भुज बना है। र्षट्भुज िा क्षेत्रिल ज्ञात िीजजए।
- A. 438. 54 cm2
- B. 509. 21 cm2 (Correct)
- C. 598. 45 cm2
- D. 638. 76 cm2
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (B) 509. 21 cm2.
- Quantitative Aptitude — Geometry / ज्यामिति
4. A triangle has vertices at A(2, 3), B(7, 1) , and C(4, 6). What is its area? एि तत्रभुज िे शीर्षष A(2, 3), B(7, 1) और C(4, 6) हैं। इसिा क्षेत्रिल क्या है?
- A. 11 square units
- B. 9.5 square units (Correct)
- C. 15.5 square units
- D. 13 square units
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (B) 9.5 square units.
- Quantitative Aptitude — Geometry / ज्यामिति
5. The Incenter of a triangle is located at (3, 4) . The length of the altitude from the Incenter to side AB is 2 units. What is the radius of the triangle's incircle? एि तत्रभुज िा अंतःिेंि (3, 4) पर स्थस्थत है। अंतःिेंि से भुजा AB ति िी ऊाँर्ाई िी लंबाई 2 इिाई है। तत्रभुज िे अंतःवृत्त िी तत्रज्या क्या है?
- A. 2 units (Correct)
- B. 3 units
- C. 4 units
- D. 5 units
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (A) 2 units.
- Quantitative Aptitude — Geometry / ज्यामिति
6. Triangle PQR has vertices P(1, 1), Q(4, 1) , and R(1, 5) . Triangle STU has vertices S(6, 2), T(9, 2) , and U(6, 6). Are these two triangles congruent? तत्रभुज PQR िे शीर्षष P(1, 1), Q(4, 1) और R(1, 5) हैं। तत्रभुज STU िे शीर्षष S(6, 2), T(9, 2) और U(6, 6) हैं। क्या ये दोनों तत्रभुज सवाांगसम हैं?
- A. Yes, by SSS (Correct)
- B. Yes, by SAS
- C. Yes, by ASA
- D. No, they are not congruent
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (A) Yes, by SSS.
- Quantitative Aptitude — Geometry / ज्यामिति
7. In triangle ABC, angle A = 45 deg and angle B = 55 deg. Find angle C.
- A. 80 deg (Correct)
- B. 85 deg
- C. 90 deg
- D. 75 deg
Explanation: Sum of angles of a triangle is 180 deg. Angle C = 180 - 45 - 55 = 80 deg.
- Quantitative Aptitude — Geometry / ज्यामिति
8. The coordinates of the vertices of a triangle are A(0, 0), B(8, 0) , and C(0, 6) . What is the location of the orthocenter? एक तत्रभुि के शीषों के सनिेशांक A(0, 0), B(8, 0) और C(0, 6) हैं। लंबकेन्द्र का स्थान क्या है?
- A. (0, 0) (Correct)
- B. (4, 3)
- C. (8, 0)
- D. (0, 6)
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (A) (0, 0).
- Quantitative Aptitude — Geometry / ज्यामिति
9. In triangle ABC, the orthocenter O and the incenter I. If ∠BIC−∠BOC= 90∘, what is ∠A ? तत्रभुि ABC में, लंब केंद्र O और अंतः केंद्र। है। यदि ∠BIC−∠BOC= 90∘ है, तो ∠A क्या है?
- A. 100∘
- B. 90∘
- C. 110∘
- D. 120∘ (Correct)
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (D) 120∘.
- Quantitative Aptitude — Geometry / ज्यामिति
10. In triangle ABC, angle A = 60 deg and angle B = 70 deg. Find angle C.
- A. 45 deg
- B. 50 deg (Correct)
- C. 55 deg
- D. 60 deg
Explanation: Sum of angles of a triangle is 180 deg. Angle C = 180 - 60 - 70 = 50 deg.
- Quantitative Aptitude — Geometry / ज्यामिति
11. In △ABC, the circumcenter is located at point O . The lengths of the sides are a, b, c. Which of the following statements about the distances from O is true? △ABC में, पररकेन्द्र वबिंिु O पर स्थस्थत है। भुिाओं की लंबाइयााँ a, b, c हैं। O िे िूररयों के बारे में सनम्नसलखित में िे कौन िा कथन ित्य है?
- A. Distance from 0 to side a is equal to
- B. Distance from O to side a is equal to
- C. Distance from O to vertex A is twice the
- D. Distance from O to vertex B is equal to (Correct)
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (D) Distance from O to vertex B is equal to.
- Quantitative Aptitude — Geometry / ज्यामिति
12. In triangle ABC, angle A = 40 deg and angle B = 55 deg. Find angle C.
- A. 90 deg
- B. 95 deg
- C. 80 deg
- D. 85 deg (Correct)
Explanation: Sum of angles of a triangle is 180 deg. Angle C = 180 - 40 - 55 = 85 deg.
- Quantitative Aptitude — Geometry / ज्यामिति
13. In a circle, chord AB subtends an angle of 75∘ at the circumference at point C. A tangent is drawn at point A. If the angle between this tangent and chord AC is 40∘, what is the measure of the angle subtended by the minor arc AC at the center of the circle? एक िृत्त में, िीिा AB वबिंिु C पर पररति पर 75∘ का कोण अंतररत करती है। वबिंिु A पर एक स्पशण रेिा िींची गई है। यदि इि स्पशण रेिा और िीिा AC के बीच का कोण 40∘ है, तो िृत्त के केंद्र पर लघु चाप AC द्वारा अंतररत कोण का माप क्या है?
- A. 80∘ (Correct)
- B. 100∘
- C. 110∘
- D. 150∘
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (A) 80∘.
- Quantitative Aptitude — Geometry / ज्यामिति
14. In a circle with center 0 , chords AB and CD intersect at point P . If ∠AOC= 80∘ and ∠BOD= 60∘, what is the measure of ∠APC ? 0 केंद्र िाले एक िृत्त में िीिा AB और CD वबिंिु P पर प्रततच्छेि करती हैं। यदि ∠AOC= 80∘ और ∠BOD= 60∘ है, तो ∠APC का मान क्या है?
- A. 60∘
- B. 70∘ (Correct)
- C. 80∘
- D. 90∘
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (B) 70∘.
- Quantitative Aptitude — Geometry / ज्यामिति
15. A point P is outside a circle with radius 8 units. A secant line passing through P and the circle's center O intersects the circle at points A and B, where B is the point on the secant closer to P. A tangent from P touches the circle at T, and PT= 15 units. Find the length of the segment PB . 8 यूसनट तत्रज्या िाले एक िृत्त के बाहर एक वबिंिु P है। P और िृत्त के केंद्र O िे होकर गुिरने िाली एक छेिक रेिा िृत्त को A और B वबिंिुओं पर काटती है, िहााँ B, छेिक रेिा पर P के िबिे सनकट का वबिंिु है। P िे िींची गई एक स्पसशििा िृत्त को T वबिंिु पर स्पशण करती है, और PT= 15 यूसनट है। PB रेिािंड की लंबाई ज्ञात करें।
- A. 17 units
- B. 30 units
- C. 9 units (Correct)
- D. 18 units
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (C) 9 units.