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- Question
A solid hemisphere has radius 14 cm. It is melted to form a cylinder such that the ratio of its curved surface area and total surface area is 2 : 3. What is the radius (in cm) of its base?
Options- A. 1033
- B. 1433
- C. 733
- D. 2133
- Correct Answer
- 1433
- 1. There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres2) of the path?
Options- A. 50.05
- B. 57.56
- C. 52.12
- D. none Discuss
- 2. ABCD is square and CDE is an equilateral triangle outside the square. What is the value (in degrees) of ?BEC?
Options- A. 15
- B. 30
- C. 25
- D. 10 Discuss
- 3. If ABCDEF is a regular hexagon, then what is the value (in degrees) of ?ADB?
Options- A. 15
- B. 30
- C. 45
- D. 60 Discuss
- 4. PQRS is a square whose side is 20 cm. By joining opposite vertices of PQRS are get four triangles. What is the sum of the perimeters of the four triangles?
Options- A. 40?2
- B. 80?2 + 80
- C. 40?2 + 40
- D. 40?2 + 80 Discuss
- 5. PQR is a right angled triangle in which PQ = QR. If the hypotenuse of the triangle is 20 cm, then what is the area (in cm2) of the triangle PQR?
Options- A. 100?2
- B. 100
- C. 50?2
- D. 50 Discuss
- 6. In a trapezium, one diagonal divides the other in the ratio 2 : 9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?
Options- A. 10
- B. 5
- C. 18
- D. 14 Discuss
- 7. The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?
Options- A. 60
- B. 54
- C. 48
- D. 72 Discuss
- 8. PQR is a triangle, whose area is 180 cm2. S is a point on side QR, such that PS is the angle bisector of ?QPR. If PQ : PR = 2 : 3, then what is the area (in cm2) triangle PSR?
Options- A. 90
- B. 108
- C. 144
- D. 72 Discuss
- 9. In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?
Options- A. (4?86)/3
- B. (2?86)/3
- C. (5?86)/3
- D. (5?86)/2 Discuss
- 10. Two identical hemispheres of maximum possible size are cut from a solid cube of side 14 cm. The bases of the hemispheres are part of the two opposite faces of cube. What is the total volume (in cm3) of the remaining part of the cube?
Options- A. 1556.33
- B. 898.5
- C. 1467.33
- D. 1306.67 Discuss
Area problems
Search Results
Correct Answer: none
Correct Answer: 15
Correct Answer: 30
Correct Answer: 80?2 + 80
Correct Answer: 100
Correct Answer: 10
Correct Answer: 60
Correct Answer: 108
Correct Answer: (4?86)/3
Correct Answer: 1306.67
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