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- Question
The radius of base of a solid cylinder is 7 cm and its height is 21 cm. It is melted and converted into small bullets. Each bullet is of same size. Each bullet consisted of two parts viz. a cylinder and a hemisphere on one of its base. The total height of bullet is 3.5 cm and radius of base is 2.1 cm. Approximately how many complete bullets can be obtained?
Options- A. 83
- B. 89
- C. 74
- D. 79
- Correct Answer
- 83
- 1. 10 identical solid spherical balls of radius 3 cm are melted to form a single sphere. In this process 20% of solid is wasted. What is the radius (in cm) of the bigger sphere?
Options- A. 24
- B. 12
- C. 8
- D. 6 Discuss
- 2. The ratio of curved surface area of a right circular cylinder to the total area of its two bases is 2 : 1. If the total surface area of cylinder is 23100 cm2, then what is the volume (in cm3) of cylinder?
Options- A. 247200
- B. 269500
- C. 312500
- D. 341800 Discuss
- 3. Radius of base of a hollow cone is 8 cm and its height is 15 cm. A sphere of largest radius is put inside the cone. What is the ratio of radius of base of cone to the radius of sphere?
Options- A. 5 : 3
- B. 4 : 1
- C. 2 : 1
- D. 7 : 3 Discuss
- 4. A right prism has a square base with side of base 4 cm and the height of prism is 9 cm. The prism is cut in three parts of equal heights by two planes parallel to its base. What is the ratio of the volume of the top, middle and the bottom part respectively?
Options- A. 1 : 8 : 27
- B. 1 : 7 : 19
- C. 1 : 8 : 20
- D. no answer Discuss
- 5. In a Rhombus ABCD, measure of angle CAB is 30°, what is the measure of angle ABC?
Options- A. 60°
- B. 120°
- C. 90°
- D. 150° Discuss
- 6. A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm2) of all the 8 parts?
Options- A. 11750
- B. 14100
- C. 18800
- D. 23500 Discuss
- 7. I. Tanya is older than Eric. II. Cliff is older than Tanya. III.Eric is older than Cliff. If the first two statements are true, the third statement is
Options- A. true
- B. false
- C. uncertain
- D. none Discuss
- 8. I. During the past year, Josh saw more movies than Stephen. II. Stephen saw fewer movies than Darren. III.Darren saw more movies than Josh. If the first two statements are true, the third statement is
Options- A. true
- B. false
- C. uncertain
- D. none Discuss
- 9. I. All the offices on the 9th floor have wall-to-wall carpeting. II. No wall-to-wall carpeting is pink. III.None of the offices on the 9th floor has pink wall-to-wall carpeting. If the first two statements are true, the third statement is
Options- A. true
- B. false
- C. uncertain
- D. none Discuss
- 10. I. Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons. II. Apartments in the Livingston Gate cost more than apartments in the The Gaslight Commons. III.Of the three apartment buildings, the Livingston Gate costs the most. If the first two statements are true, the third statement is
Options- A. true
- B. false
- C. uncertain
- D. none Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 6
Correct Answer: 269500
Correct Answer: 5 : 3
Correct Answer: no answer
Correct Answer: 120°
Correct Answer: 18800
Correct Answer: false
Explanation:
Because the first two statements are true, Eric is the youngest of the three, so the third statement must be false
Correct Answer: uncertain
Explanation:
Because the first two sentences are true, both Josh and Darren saw more movies than Stephen. However, it is uncertain as to whether Darren saw more movies than Josh.
Correct Answer: true
Explanation:
If no wall-to-wall carpeting is pink and all the offices have wall-to-wall carpeting, none of the offices has pink wall-to-wall carpeting.
Correct Answer: true
Explanation:
Since the Gaslight Commons costs more than the Riverdale Manor and the Livingston Gate costs more than the Gaslight Commons, it is true that the Livingston Gate costs the most.
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