Discussion
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- Question
In an exam, a candidate secured 504 marks out of the maximum mark of 'M'. If the maximum mark 'M' is converted into 800 marks, he would have secured 384 marks. What is the value of 'M' ?
Options- A. 910
- B. 1000
- C. 970
- D. None of the above
- Correct Answer
- None of the above
Explanation504/M = 384/800
(504 x 800) / 384 = M
M = 1050
- 1. A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangular boxes of dimensions 8 cm x 7 cm x 6 cm. The maximum number of boxes that can be carried in 1 wooden box is?
Options- A. 1200000
- B. 1000000
- C. 9800000
- D. 7500000 Discuss
- 2. If the length breadth and the height of cuboid are in the ratio 6 :5 : 4 and if the total surface area is 33300 cm 2, then the length, breadth and height in cm. are respectively?
Options- A. 90, 85, 60
- B. 85, 75, 60
- C. 90, 75, 70
- D. 90, 75, 60 Discuss
- 3. A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between the surface area of two solids is?
Options- A. 284 cm2
- B. 286 cm2
- C. 296 cm2
- D. 300 cm2 Discuss
- 4. A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is?
Options- A. 3 : 5
- B. 2 : 5
- C. 3 : 1
- D. 1 : 3 Discuss
- 5. The number of solid spheres each of diameter 6 cm that could be moulded to form a solid metal cylinder 4 cm, is?
Options- A. 3
- B. 4
- C. 5
- D. 6 Discuss
- 6. The length of the wire of 0.2 mm radius that can be drawn after melting a solid copper sphere of diameter 18 cm, is?
Options- A. 24.3 m
- B. 243 m
- C. 2430 m
- D. 24300 m Discuss
- 7. Two circular cylinders of equals volume have their heights in the ratio 1 : 2 Ratio of their radii is?
Options- A. 1 : ?2
- B. ?2 : 1
- C. 1 : 2
- D. 1 : 4 Discuss
- 8. The material of a cone is converted into the shape of a cylinder of equal radius . If the height of the cylinder is 5 cm. the height of the cone is?
Options- A. 10 cm
- B. 15 cm
- C. 18 cm
- D. 24 cm Discuss
- 9. A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 60 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder?
Options- A. 15 cm
- B. 30 cm
- C. 40 cm
- D. 25 cm Discuss
- 10. The cost of painting the four walls of a room is Rs. 350. The cost of painting a room three times in length, breadth and height respectively will be?
Options- A. Rs. 1050
- B. Rs. 1400
- C. Rs. 3150
- D. Rs. 4200 Discuss
More questions
Correct Answer: 1000000
Explanation:
Number of boxes = (Volumes of wooden box in cm3) / (Volume of 1 small box)
= (800 x 700 x 600) / (8 x 7 x 6) = 1000000
Correct Answer: 90, 75, 60
Explanation:
Let length = 6k, breadth = 5k and height = 4k in cm
? 2(6k x 5k + 5k x 4k + 6k x 4k) = 33300
? 148k2 = 33300
? k2 = 33300/148 = 225
? k = 15
? Length = 90 cm, Breadth = 75 cm, Height = 60 cm
Correct Answer: 286 cm2
Explanation:
Volume of cube formed = 216 cm3
? Edge of the cube = (6 x 6 x 6)1/3 = 6 cm
Surface area of original metal sheet = 2(27 x 8 + 8 x 1 + 27 x 1) cm2 = 502 cm2
Surface area of the cube formed = [6 x (6)2] cm2 = 216 cm2
? Required difference in area of two solids = (502 - 216) cm2
= 286 cm2
Correct Answer: 1 : 3
Explanation:
Let the height of cylinder = h
and height cone = H
Then, ?r2 h = 1/3 ?r2 H
? h/H = 1/3 = 1 : 3
Correct Answer: 5
Explanation:
Let the number of spheres be N
Then, N x 4/3 ? x (3)3 = ? x (2)2 x 45
? 36N = 180
? N = 180/36 = 5
Correct Answer: 24300 m
Explanation:
Radius of sphere = 9 cm
Volume of sphere = [ 4/3 x ? x (9)3] cm3 = 972? cm3
Radius of wire = 0.2 mm = 2/(10 x 10) cm = 1/50 cm
Let the length of wire be = L cm
Then, 972? = ? x (1/50)2 x L
? L = (972 x 50 x 50 ) cm
?972? = ? x (1/50)2 x L
? L = (972 x 50 x 50) cm
? Length of wire = (972 x 50 x 50)/100 m = 24, 300 m
Correct Answer: ?2 : 1
Explanation:
Let their height be h and 2h radii be x and y respectively.
Then, ?x2h = ?y2(2h)
? x2/y2 = 2/1
? x/y = ?2 / 1 = ?2 : 1
Correct Answer: 15 cm
Explanation:
? (1/3)?r2 x h = ?r2 x 5
? h = 15 cm
Correct Answer: 40 cm
Explanation:
Let h and H be the height of water level before and after the dropping of the sphere.
Then, [? x (30)2 x H ] - [? x (30)2 x h ]
= 4/3 ? x (30)3
? ? x 900 x (H -h) = 4/3 ? x 27000
? (H- h) = 40 cm
Correct Answer: Rs. 3150
Explanation:
Area of 4 walls of the room = [2 (l + b ) x h ]m2
Area of 4 walls of new room = [2 (3l + 3b) x 3h]m2
= 9 x [2(l + b) x h ]m2
? Cost of painting the 4 walls of the new room = Rs. (9 x 350)
= Rs. 3150
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