IMO Mathematics Olympiad (SOF) Class 8: Questions 460  465 of 1030
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Question number: 460
Question
A hoop is resting vertically at staircase as shown in the diagram. AB = 8 cm and BC = 4 cm. The radius of the hoop is________.
Choices
Choice (4)  Response  

a.  12 cm 

b.  10 cm 

c.  14 cm 

d.  11 cm 

Question number: 461
Question
The radius of a cylinder is doubled but its lateral surface area is unchanged. Then its height must be________.
Choices
Choice (4)  Response  

a.  Constant 

b.  Halved 

c.  Doubled 

d.  Tripled 

Question number: 462
Question
Between a square of perimeter 36 cm and a circle of circumference 36 cm, which figure has larger area and by how much?
Choices
Choice (4)  Response  

a.  Circle, 22 

b.  Square, 22 

c.  Circle, 26 

d.  None of the above 

Question number: 463
Question
Two rectangles ABCD and DBEF are as shown in the figure. The area of rectangle DBEF in square units is________.
Choices
Choice (4)  Response  

a.  40 

b.  90 

c.  60 

d.  70 

Question number: 464
Question
A right cylindrical vessel is full with water, how many right cones having half diameter and height as that of right cylinder will be needed to store that water?
Choices
Choice (4)  Response  

a.  12 

b.  25 

c.  23 

d.  24 

Question number: 465
Question
The radius of the cylinder whose lateral surface area is 520 and height 5 cm, is________.
Choices
Choice (4)  Response  

a.  17 cm 

b.  14 cm 

c.  12 cm 

d.  11 cm 
