SSC CGL Geometry and Mensuration Verified Practice Test 5
15 structurally validated Geometry and Mensuration questions with unique options, mapped answers and explanations.
SSC CGL Geometry and Mensuration Verified Practice Test 5
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 5 (no login required)
- Triangle Area
1. Area of a triangle with base 16 cm and height 5 cm is:
- A. 35
- B. 40 (Correct)
- C. 45
- D. 50
Explanation: Area = 1/2 x base x height.
- Cylinder
2. Volume of a cylinder of radius 5 cm and height 8 cm is:
- A. 160pi
- B. 180pi
- C. 200pi (Correct)
- D. 220pi
Explanation: Volume = pi r^2 h.
- Semicircle
3. Area of a semicircle of radius 8 cm is:
- A. 16pi
- B. 24pi
- C. 32pi (Correct)
- D. 64pi
Explanation: Half of pi r^2 = half of 64pi.
- Cube
4. Surface area of a cube of side 4 cm is:
- A. 64 sq cm
- B. 80 sq cm
- C. 96 sq cm (Correct)
- D. 112 sq cm
Explanation: Surface area = 6a^2.
- Cuboid
5. Volume of a cuboid 9 cm x 4 cm x 5 cm is:
- A. 160
- B. 170
- C. 180 (Correct)
- D. 190
Explanation: Volume = l x b x h.
- Angles
6. If two angles of a triangle are 50 degrees and 60 degrees, third angle is:
- A. 60 degrees
- B. 65 degrees
- C. 70 degrees (Correct)
- D. 75 degrees
Explanation: Third angle = 180 - 110.
- Parallelogram
7. Area of a parallelogram with base 20 cm and height 6 cm is:
- A. 100
- B. 110
- C. 120 (Correct)
- D. 130
Explanation: Area = base x height.
- Sphere
8. Volume of a sphere varies directly with:
- A. r
- B. r^2
- C. r^3 (Correct)
- D. 1/r
Explanation: Volume of a sphere is proportional to r cubed.
- Square Diagonal
9. Diagonal of a square of side 6 cm is:
- A. 3 root 2
- B. 4 root 2
- C. 5 root 2
- D. 6 root 2 (Correct)
Explanation: Diagonal = side x root 2.
- Triangle
10. 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°.
- Circle
11. 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.
- Rectangle
12. 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.
- Cone
13. 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.
- Angles
14. 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.
- Triangle
15. 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°.