Discussion
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- Question
In a quadrilateral PQRS, l_S= 90°. A circle (o, r) touches the sides PQ, QR, RS and SP at A, B, C and D respectively. If QR= 38 cm, RS = 25 cm and QA = 27 cm, find 'r'.
Options- A. 16 cm
- B. 12 cm
- C. 14 cm
- D. 10 cm
- Correct Answer
- 14 cm
- 1. The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is
Options- A. 2:3
- B. 3:2
- C. 9:4
- D. 4:9 Discuss
- 2. The two sides holding the right-angle in a right-angled triangle are 3 cm and 4 cm long. The area of its circumcircle will be in sq.cm:
Options- A. 6.25pi
- B. 6.75pi
- C. 5pi
- D. 7pi Discuss
- 3. The surface areas of three faces of a cuboid sharing a vertex are 20, 32 and 40 sq. mts. What is the volume of the cuboid in cub. m?
Options- A. ?3024
- B. 184
- C. 160
- D. 92 Discuss
- 4. What part of the volume of a cube is the pyramid whose base is the base of then cube and whose vertex is the center of the cube?
Options- A. 4:1
- B. 5:1
- C. 6:1
- D. 7:1 Discuss
- 5. A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Options- A. 12
- B. 60
- C. 72
- D. 90 Discuss
- 6. The least number of square tiles of side 41 cms required to pave the ceiling of a room of size 15m 17cm long and 9m 2 cm broad is:
Options- A. 902
- B. 656
- C. 738
- D. 814 Discuss
- 7. O is the circumcentre of ?ABC. If AO = 8 cm, then the length of BO is
Options- A. 12 cm
- B. 3 cm
- C. 6 cm
- D. 8 cm Discuss
- 8. ABCD is a quadrilateral in which BD and AC are diagonals then
Options- A. AB + BC + CD + AD< AC + BD
- B. AB + BC + CD + DA>AC + BD
- C. AB + BC + CD + DA=AC + BD
- D. AB + BC + CD + DA>2(AC + BD) Discuss
- 9. If O is the centre of a circle of radius 5 cm. At a distance of 13 cm from O, a point P is taken. From this point, two tangents PQ and PR are drawn to the circle. Then , the area of quadrilateral PQOR is
Options- A. 60 cm2
- B. 32.5 cm2
- C. 65 cm2
- D. 30 cm2 Discuss
- 10. 40 men took a dip in a pool 30 m long and 25 m broad. If the average water displaced by a man is 5 cub.m, then what will be the rise (in cm) in level of the pool?
Options- A. 25
- B. 26.66
- C. 27.33
- D. 28.5 Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 4:9
Correct Answer: 6.25pi
Correct Answer: 160
Correct Answer: 6:1
Explanation:
Volume of the cube/volume of pyramid=
Correct Answer: 60
Explanation:
Volume of water displaced = (3 x 2 x 0.01) = 0.06 cu.m.
Mass of man = Volume of water displaced x Density of water
= (0.06 x 1000) kg
= 60 kg.
Correct Answer: 814
Correct Answer: 8 cm
Correct Answer: AB + BC + CD + DA>AC + BD
Correct Answer: 60 cm2
Correct Answer: 26.66
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