SSC CGL Coordinate Geometry Practice Test 7
15 SSC CGL coordinate geometry questions with chapter-wise explanations and exam-style options.
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SSC CGL Coordinate Geometry Practice Test 7
15 SSC CGL coordinate geometry questions with chapter-wise explanations and exam-style options.
Preview all 15 questions in SSC CGL Coordinate Geometry Practice Test 7 (no login required)
- Coordinate Geometry
1. In a right triangle, if one angle is 30°, the other acute angle is:
- A. 50°
- B. 55°
- C. 60° (Correct)
- D. 65°
Explanation: Angles in a triangle sum to 180°. 180−90−30=60°.
- Coordinate Geometry
2. Diameter of a circle is 14 cm. Its area is:
- A. 44 sq cm
- B. 77 sq cm
- C. 132 sq cm
- D. 154 sq cm (Correct)
Explanation: r=7 cm. Area=πr²=22/7×49=154 sq cm.
- Coordinate Geometry
3. Diagonal of a rectangle with length 12 and breadth 5 is:
- A. 11
- B. 13 (Correct)
- C. 15
- D. 17
Explanation: Diagonal=√(144+25)=√169=13.
- Coordinate Geometry
4. Volume of a cone with radius 6 cm and height 7 cm is:
- A. 264 cm³ (Correct)
- B. 276 cm³
- C. 284 cm³
- D. 316 cm³
Explanation: V=1/3×π×36×7=1/3×22/7×36×7=264 cm³.
- Coordinate Geometry
5. Two parallel lines are cut by a transversal. Co-interior angles sum to:
- A. 90°
- B. 120°
- C. 180° (Correct)
- D. 360°
Explanation: Co-interior (same-side interior) angles are supplementary.
- Coordinate Geometry
6. In triangle ABC, angle A = 80°, angle B = 60°. Exterior angle at C is:
- A. 120°
- B. 130°
- C. 140° (Correct)
- D. 150°
Explanation: Exterior angle = sum of opposite interior angles = 80+60 = 140°.
- Coordinate Geometry
7. A chord of length 16 cm is at 6 cm from centre. Radius of circle is:
- A. 8 cm
- B. 9 cm
- C. 10 cm (Correct)
- D. 11 cm
Explanation: Half-chord=8. r=√(64+36)=√100=10 cm.
- Coordinate Geometry
8. Diagonal of a cuboid 3cm×4cm×12cm is:
- A. 11 cm
- B. 13 cm (Correct)
- C. 14 cm
- D. 15 cm
Explanation: Diagonal=√(9+16+144)=√169=13 cm.
- Coordinate Geometry
9. Area of equilateral triangle with side 8 cm is:
- A. 8√3 sq cm
- B. 12√3 sq cm
- C. 16√3 sq cm (Correct)
- D. 20√3 sq cm
Explanation: Area=(√3/4)×64=16√3 sq cm.
- Coordinate Geometry
10. Sum of interior angles of a pentagon is:
- A. 450°
- B. 480°
- C. 540° (Correct)
- D. 600°
Explanation: (n−2)×180=(5−2)×180=540°.
- Coordinate Geometry
11. Area of a square with diagonal 10 cm is:
- A. 40 sq cm
- B. 45 sq cm
- C. 50 sq cm (Correct)
- D. 55 sq cm
Explanation: Area=d²/2=100/2=50 sq cm.
- Coordinate Geometry
12. Curved surface area of a cylinder with radius 7 cm and height 10 cm is:
- A. 420 cm²
- B. 440 cm² (Correct)
- C. 460 cm²
- D. 480 cm²
Explanation: CSA=2πrh=2×22/7×7×10=440 cm².
- Coordinate Geometry
13. In a triangle with sides 13, 14, 15 cm, the area by Heron's formula is:
- A. 72 sq cm
- B. 78 sq cm
- C. 84 sq cm (Correct)
- D. 90 sq cm
Explanation: s=(13+14+15)/2=21. Area=√(21×8×7×6)=√7056=84 sq cm.
- Coordinate Geometry
14. Area of rhombus with diagonals 12 cm and 16 cm is:
- A. 80 sq cm
- B. 88 sq cm
- C. 96 sq cm (Correct)
- D. 100 sq cm
Explanation: Area=d₁×d₂/2=12×16/2=96 sq cm.
- Coordinate Geometry
15. Surface area of a sphere with radius 7 cm is:
- A. 516 cm²
- B. 572 cm²
- C. 616 cm² (Correct)
- D. 660 cm²
Explanation: SA=4πr²=4×22/7×49=616 cm².