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- Question
There are 8 equidistant points A, B, C, D, E, F, G and H (in same order) on a circle. What is the value of ?FDH (in degrees)?
Options- A. 22.5
- B. 45
- C. 30
- D. 42.5
- Correct Answer
- 45
- 1. Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?
Options- A. 3.5
- B. 3.75
- C. 4.25
- D. 4.45 Discuss
- 2. Two circles are having radii 9 cm and 12 cm. The distance between their centres is 15 cm. What is the length (in cm) of their common chord?
Options- A. 6.8
- B. 13.6
- C. 7.2
- D. 14.4 Discuss
- 3. A regular pyramid has a square base. The height of the pyramid is 22 cm and side of its base is 14 cm. Volume of pyramid is equal to the volume of a sphere. What is the radius (in cm) of the sphere?
Options- A. 493
- B. 7
- C. 14
- D. 983 Discuss
- 4. A solid cube has side 8 cm. It is cut along diagonals of top face to get 4 equal parts. What is the total surface area (in cm2) of each part?
Options- A. 96 + 64?2
- B. 80 + 64?2
- C. 96 + 48?2
- D. 80 + 48?2 Discuss
- 5. The ratio of total surface area and volume of a sphere is 1 : 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is 1/6th the radius of the large sphere. What is the sum (in cm2) of curved surface areas of all small spheres?
Options- A. 31276
- B. 36194
- C. 25182
- D. 33264 Discuss
- 6. An equilateral triangle of area 300 cm2 is cut from its three vertices to form a regular hexagon. Area of hexagon is what percent of the area of triangle?
Options- A. 66.66%
- B. 33.33%
- C. 83.33%
- D. 56.41% Discuss
- 7. The sum of radii of the two circles is 91 cm and the difference between their area is 2002 cm2 . What is the radius (in cm) of the larger circle?
Options- A. 56
- B. 42
- C. 63
- D. 49 Discuss
- 8. The height of a cone is 45 cm. It is cut at a height of 15 cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm3, then what is the volume (in cm3) of the original cone?
Options- A. 34650
- B. 61600
- C. 36960
- D. 62370 Discuss
- 9. Identical cubes of largest possible size are cut from a solid cuboid of size 65 cm × 26 cm × 3.9 cm. What is the total surface area (in cm2) of all the small cubes taken together?
Options- A. 30420
- B. 15210
- C. 20280
- D. 16440 Discuss
- 10. A regular triangular pyramid is cut by 2 planes which are parallel to its base. The planes trisects the altitude of the pyramid. Volume of top, middle and bottom part is V1, V2 and V3 respectively. What is the value of V1 :V2 : V3?
Options- A. 1 : 8 : 27
- B. 1 : 8 : 19
- C. 2 : 9 : 27
- D. 1 : 7 : 19 Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 3.75
Correct Answer: 14.4
Correct Answer: 7
Correct Answer: 96 + 64?2
Correct Answer: 33264
Correct Answer: 66.66%
Correct Answer: 49
Correct Answer: 62370
Correct Answer: 30420
Correct Answer: 1 : 7 : 19
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