SSC Geometry Bilingual Test 1
Geometry / ज्यामिति practice from SSC Maths Selection Book 2025 — bilingual with timer, negative marking and explanations.
SSC Geometry Bilingual Test 1
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 1 (no login required)
- Quantitative Aptitude — Geometry / ज्यामिति
1. Convert 2.5 radians to degrees. 2.5 रेरडयन िो रडग्री में बदलें।
- A. 130∘
- B. 143. 24∘ (Correct)
- C. 180∘
- D. 200. 56∘
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (B) 143. 24∘.
- Quantitative Aptitude — Geometry / ज्यामिति
2. In a right-angled triangle, the Orthocenter lies at which of the following points? एि समिोण तत्रभुज में, लंबिेन्द्र जनम्नजलखखत में से किस कबिंदु पर स्थस्थत होता है?
- A. The midpoint of the hypotenuse.
- B. The vertex of the right angle. (Correct)
- C. A point on the hypotenuse but not the
- D. The midpoint of one of the legs.
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (B) The vertex of the right angle..
- Quantitative Aptitude — Geometry / ज्यामिति
3. In triangle ABC, angle A = 40 deg and angle B = 60 deg. Find angle C.
- A. 85 deg
- B. 90 deg
- C. 75 deg
- D. 80 deg (Correct)
Explanation: Sum of angles of a triangle is 180 deg. Angle C = 180 - 40 - 60 = 80 deg.
- Quantitative Aptitude — Geometry / ज्यामिति
4. If a triangle has an obtuse angle, where is its Circumcenter located? यदद किसी तत्रभुज में अतिि िोण है, तो उसिा पररिेन्द्र िहााँ स्थस्थत होगा?
- A. On the longest side of the triangle.
- B. On the vertex of the obtuse angle.
- C. Inside the triangle.
- D. Outside the triangle (Correct)
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (D) Outside the triangle.
- Quantitative Aptitude — Geometry / ज्यामिति
5. In triangle ABC , a line segment DE is drawn through the centroid G , parallel to side BC . D lies on AB and E lies on AC. What is the ratio of the area of the smaller triangle ADE to the area of the trapezoid DECB ? तत्रभुज ABC में, िेन्द्रि G से होिर, भुजा BC िे समांतर एि रेखाखंड DE खींर्ा गया है। D, AB पर और E, AC पर स्थस्थत है। छोटे तत्रभुज ADE िे क्षेत्रिल िा समलम्ब र्तुभुषज DECB िे क्षेत्रिल से अनुपात क्या है?
- A. 1: 1
- B. 1: 2
- C. 4: 5 (Correct)
- D. 4: 9
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (C) 4: 5.
- Quantitative Aptitude — Geometry / ज्यामिति
6. A right triangle ABC is inscribed in a circle with a diameter of 10 cm . An altitude BD is drawn from the vertex B to the hypotenuse AC . If the length of the leg AB is 6 cm , what is the length of the segment AD ? एि समिोण तत्रभुज ABC , 10 सेमी व्यास वाले एि वृत्त िे अंतगषत अंकित है। शीर्षष B से िणष AC ति एि शीर्षषलंब BD खींर्ा गया है। यदद भुजा AB िी लंबाई 6 सेमी है, तो खंड AD िी लंबाई क्या है?
- A. 6 cm
- B. 4 cm
- C. 4.8 cm
- D. 3.6 cm (Correct)
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (D) 3.6 cm.
- Quantitative Aptitude — Geometry / ज्यामिति
7. From an outside point P , two tangents, PA and PB , are drawn to a circle.A third tangent to the circle at a point Q intersects PA and PB at R and S respectively. If PA= 10 cm , what is the perimeter of △PRS ? एि बाह्य कबिंदु P से, एि वृत्त पर दो स्पशष रेखाएाँ PA और PB खींर्ी गई हैं। वृत्त पर कबिंदु Q पर एि तीसरी स्पशष रेखा PA और PB िो क्रमशः R और S पर प्रततच्छेद िरती है। यदद PA= 10 सेमी है, तो △PRS िा पररमाप क्या है?
- A. 10 cm
- B. 15 cm
- C. 20 cm (Correct)
- D. 30 cm
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (C) 20 cm.
- Quantitative Aptitude — Geometry / ज्यामिति
8. A common internal tangent connecting two circles is 9 cm long. The distance between the circles' centers is 15 cm . If the larger circle has a radius of 8 cm , what is the radius of the smaller circle? दो वृत्तों िो जोडने वाली एि उभयजनष्ठ आंतररि स्पशष रेखा 9 सेमी लंबी है। वृत्तों िे िेंिों िे बीर् िी दूरी 15 सेमी है। यदद बडे वृत्त िी तत्रज्या 8 सेमी है, तो छोटे वृत्त िी तत्रज्या क्या है?
- A. 4 cm (Correct)
- B. 1 cm
- C. 6 cm
- D. 7 cm
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (A) 4 cm.
- Quantitative Aptitude — Geometry / ज्यामिति
9. A circle is circumscribed about a triangle. If one of the angles of the triangle is 120∘, and the radius of the circumscribed circle is r , what is the length of the side opposite the 120∘ angle? एि वृत्त एि तत्रभुज िे र्ारों ओर पररबि है। यदद तत्रभुज िा एि िोण 120∘ है, और पररबि वृत्त िी तत्रज्या r है, तो 120∘ िोण िे सम्मुख भुजा िी लंबाई क्या है?
- A. r√3 (Correct)
- B. 2r
- C. r
- D. r√2
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (A) r√3.
- Quantitative Aptitude — Geometry / ज्यामिति
10. In triangle ABC, angle A = 45 deg and angle B = 70 deg. Find angle C.
- A. 65 deg (Correct)
- B. 70 deg
- C. 75 deg
- D. 60 deg
Explanation: Sum of angles of a triangle is 180 deg. Angle C = 180 - 45 - 70 = 65 deg.
- Quantitative Aptitude — Geometry / ज्यामिति
11. A line is tangent to a circle at point A. If a chord AB has a length of 8 cm and makes an angle of 30∘ with the tangent, what is the radius of the circle? एि रेखा कबिंदु A पर एि वृत्त िी स्पशष रेखा है। यदद एि जीवा AB िी लंबाई 8 सेमी है और वह स्पशष रेखा िे साथ 30∘ िा िोण बनाती है, तो वृत्त िी तत्रज्या क्या है?
- A. 4 cm
- B. 8 cm (Correct)
- C. 4√3 cm
- D. 8√3 cm
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (B) 8 cm.
- Quantitative Aptitude — Geometry / ज्यामिति
12. The sum of the measures of 7 interior angles of an 8 -sided polygon is 1, 000∘ . What is the measure of the 8th exterior angle? एि 8 -भुजा वाले बहुभुज िे 7 आंतररि िोणों िा योग 1, 000∘ है। 8 वें बाह्य िोण िा माप क्या है?
- A. 1080∘
- B. 108∘
- C. 100∘
- D. 80∘ (Correct)
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (D) 80∘.
- Quantitative Aptitude — Geometry / ज्यामिति
13. If the interior angle of a regular polygon is k times its exterior angle, express the number of sides (n) of the polygon in terms of k. यदद किसी जनयजमत बहुभुज िा आंतररि िोण उसिे बाह्य िोण िा k गुना है, तो बहुभुज िी भुजाओं िी संख्या (n)
- A. 2k+ 4
- B. 2k−4
- C. 2k+ 2 (Correct)
- D. 4k−3
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (C) 2k+ 2.
- Quantitative Aptitude — Geometry / ज्यामिति
14. The distance between the centers of two circles is d . The lengths of their direct and transverse common tangents are L and M , respectively. If L2+ M2= 200 and the sum of the squares of their radii is 100 , what is the value of d ? दो वृत्तों िे िेंिों िे बीर् िी दूरी है d . उनिी सीिी और अनुप्रस्थ उभयजनष्ठ स्पशष रेखाओं िी लंबाइयााँ क्रमशः L और M हैं। यदद L2+ M2= 200 और उनिी तत्रज्याओं िे वगों िा योग 100 है, तो d िा मान क्या है?
- A. 10
- B. 10√2 (Correct)
- C. 5√2
- D. 20
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (B) 10√2.
- Quantitative Aptitude — Geometry / ज्यामिति
15. A sector of a circle has a central angle of 60∘ and a radius of 8 cm . Another sector of the same circle has a central angle of 𝝅 3 radians. What is the ratio of the area of the first sector to the area of the second sector? 𝝅 एि वृत्त िे एि तत्रज्यखंड िा िेंिीय िोण 60∘ और तत्रज्या 8 सेमी है। उसी वृत्त िे एि अन्य तत्रज्यखंड िा िेंिीय िोण 3 रेरडयन है। पहले तत्रज्यखंड िे क्षेत्रिल िा दूसरे तत्रज्यखंड िे क्षेत्रिल से अनुपात क्या है?
- A. 2: 3
- B. 1: 2
- C. 1: 1 (Correct)
- D. 1: 3
Explanation: Apply the relevant theorem (congruence, similarity, circle theorem, etc.). The correct answer is (C) 1: 1.