IMO Level 1 Mathematics Olympiad (SOF) Class 9: Questions 256  261 of 929
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Question number: 256
» Lines, Angles and Quadrilaterals
Question
In the figure, PQRS is a square. A line segment SX cuts the side QR at X and the diagonal PR at O such that , then y = ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

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.  40.33 cm  
d.  15.33 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.  2.26 cm  
c.  3.51 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.  Circumcentre  
b.  Incentre  
c.  Centroid  
d.  Orthocentre 
Question number: 261
Question
From the adjoining figure, the value of x is ________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
