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- Question
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
- Correct Answer
- 25 cm
- 1. 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
- 2. ?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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. What is the measure of the central angle of the sector whose area is 462 sq cm and radius of the circle is 21 cm?
Options- A. 90°
- B. 60°
- C. 30°
- D. 120° Discuss
- 9. The crosssection of a canal is in the shape of an isosceles trapezium which is 3 m wide at the bottom and 5 m wide at the top. If the depth of the canal is 2 m and it is 110 m long, what is the maximum capacity of this canal? (Take ? = 22/7)
Options- A. 1760 cubic metres
- B. 1650 cubic metres
- C. 1056 cubic metres
- D. 880 cubic metres Discuss
- 10. In a triangle PQR, ?PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?
Options- A. 9
- B. 4
- C. 8
- D. 6 Discuss
Area problems
Search Results
Correct Answer: 18 cm
Correct Answer: 8 cm
Correct Answer: 1306.67
Correct Answer: (4?86)/3
Correct Answer: 108
Correct Answer: 355 metres
Correct Answer: 7/11
Correct Answer: 120°
Correct Answer: 880 cubic metres
Correct Answer: 4
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