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- Question
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
- Correct Answer
- 1306.67
- 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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 Discuss
- 6. ?GHI is similar to ?KLM. If the ratio of Perimeter of ? GHI : Perimeter of ?KLM = 1:4, and length of GH is 2 cm, what is the length of the corresponding side KL?
Options- A. 4 cm
- B. 8 cm
- C. 32 cm
- D. 16 cm Discuss
- 7. In ?ABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and AE are 8 cm, 4 cm and 12 cm respectively, what is the length of AC?
Options- A. 6 cm
- B. 18 cm
- C. 9 cm
- D. 15 cm Discuss
- 8. A cone of radius 3.5 cm and height 27 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 2.1 cm. What will be the height of water in this vessel? (Take ? = 22/7)
Options- A. 50 cm
- B. 25 cm
- C. 12.5 cm
- D. 37.5 cm Discuss
- 9. A missile travels at 1278 km/h. How many metres does it travel in one second?
Options- A. 355 metres
- B. 358 metres
- C. 345 metres
- D. 313 metres Discuss
- 10. The areas of a circle and square are equal. What is the square of the ratio of length of diameter to the length of diagonal?
Options- A. 11/7
- B. 7/9
- C. 7/11
- D. 9/7 Discuss
Area problems
Search Results
Correct Answer: (4?86)/3
Correct Answer: 108
Correct Answer: 60
Correct Answer: 10
Correct Answer: 1433
Correct Answer: 8 cm
Correct Answer: 18 cm
Correct Answer: 25 cm
Correct Answer: 355 metres
Correct Answer: 7/11
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