SSC CGL Geometry and Mensuration Verified Practice Test 7
15 structurally validated Geometry and Mensuration questions with unique options, mapped answers and explanations.
SSC CGL Geometry and Mensuration Verified Practice Test 7
15 structurally validated Geometry and Mensuration questions with unique options, mapped answers and explanations.
Preview all 15 questions in SSC CGL Geometry and Mensuration Verified Practice Test 7 (no login required)
- Circle
1. Angle subtended by an arc at centre is 120°. Angle at any point on the major arc:
- A. 30°
- B. 40°
- C. 50°
- D. 60° (Correct)
Explanation: Angle at major arc=120°/2=60°.
- Similar Triangles
2. In similar triangles, perimeters are 12 and 20. If smallest side of smaller triangle is 3, smallest side of larger is:
- A. 4
- B. 5 (Correct)
- C. 6
- D. 7
Explanation: Ratio=12:20=3:5. Smallest side of larger=3×20/12=5.
- Cone
3. Slant height of cone with r=5 and h=12 is:
- A. 11 cm
- B. 12 cm
- C. 13 cm (Correct)
- D. 14 cm
Explanation: l=√(r²+h²)=√(25+144)=13 cm.
- Triangle
4. Pythagoras theorem applies to:
- A. All triangles
- B. Acute triangles
- C. Right triangles (Correct)
- D. Obtuse triangles
Explanation: Pythagorean relation holds only for right-angled triangles.
- Quadrilateral
5. Diagonals of a rhombus are 24 cm and 10 cm. Side of rhombus:
- A. 11 cm
- B. 12 cm
- C. 13 cm (Correct)
- D. 14 cm
Explanation: Side=√(12²+5²)=√169=13 cm.
- Angles
6. In a cyclic quadrilateral, opposite angles sum to:
- A. 90°
- B. 120°
- C. 180° (Correct)
- D. 360°
Explanation: Opposite angles of a cyclic quadrilateral are supplementary.
- Hemisphere
7. Curved surface area of hemisphere of radius 14 cm:
- A. 1144 cm²
- B. 1232 cm² (Correct)
- C. 1344 cm²
- D. 1432 cm²
Explanation: CSA=2πr²=2×22/7×196=1232 cm².
- Tangent
8. Two tangents from external point make angle 60° between them. Angle subtended at centre by chord joining tangent points:
- A. 100°
- B. 110°
- C. 120° (Correct)
- D. 130°
Explanation: Angle at centre = 180°−60°=120°.
- Triangle
9. In a 45-45-90 triangle, hypotenuse is 10 cm. Legs are:
- A. 5 cm each
- B. 5√2 cm each (Correct)
- C. 7 cm each
- D. 8 cm each
Explanation: Leg=hyp/√2=10/√2=5√2 cm.
- Geometry and Mensuration
10. Perimeter of rectangle with length 12 cm and breadth 7 cm is:
- A. 40 cm
- B. 36 cm
- C. 38 cm (Correct)
- D. 84 cm
Explanation: Perimeter = 2(l+b).
- Geometry and Mensuration
11. Perimeter of rectangle with length 13 cm and breadth 8 cm is:
- A. 40 cm
- B. 44 cm
- C. 104 cm
- D. 42 cm (Correct)
Explanation: Perimeter = 2(l+b).
- Geometry and Mensuration
12. Perimeter of rectangle with length 14 cm and breadth 9 cm is:
- A. 126 cm
- B. 46 cm (Correct)
- C. 44 cm
- D. 48 cm
Explanation: Perimeter = 2(l+b).
- Geometry and Mensuration
13. Perimeter of rectangle with length 15 cm and breadth 10 cm is:
- A. 48 cm
- B. 150 cm
- C. 50 cm (Correct)
- D. 52 cm
Explanation: Perimeter = 2(l+b).
- Geometry and Mensuration
14. Perimeter of rectangle with length 16 cm and breadth 11 cm is:
- A. 54 cm (Correct)
- B. 52 cm
- C. 176 cm
- D. 56 cm
Explanation: Perimeter = 2(l+b).
- Geometry and Mensuration
15. Perimeter of rectangle with length 17 cm and breadth 12 cm is:
- A. 56 cm
- B. 60 cm
- C. 58 cm (Correct)
- D. 204 cm
Explanation: Perimeter = 2(l+b).