IMO Level 1 Mathematics Olympiad (SOF) Class 9: Questions 257  262 of 919
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Question number: 257
Question
A cylindrical vessel 80 cm in diameter is partially filled with water. A sphere, 80 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder?
Choices
Choice (4)  Response  

a.  30.33 cm 

b.  53.33 cm 

c.  15.33 cm 

d.  40.33 cm 

Question number: 258
Question
A spherical ball of lead, 5 cm in diameter is melted and recast into two spherical balls. The diameter of one of these is 4 cm. The radius of the second ball is________
Choices
Choice (4)  Response  

a.  2.51 cm 

b.  3.51 cm 

c.  2.26 cm 

d.  3.94 cm 

Question number: 259
» Lines, Angles and Quadrilaterals
Question
In the figure, If and, then
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 260
Question
The point of concurrency of the angle bisectors of a triangle is called ________.
Choices
Choice (4)  Response  

a.  Incentre 

b.  Orthocentre 

c.  Centroid 

d.  Circumcentre 

Question number: 261
Question
From the adjoining figure, the value of x is ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 262
Question
Orthocenter of a triangle is the point of concurrency of its ________
Choices
Choice (4)  Response  

a.  Medians 

b.  Altitudes 

c.  Angle bisectors 

d.  Perpendicular bisectors 
