IMO Level 2 Mathematics Olympiad (SOF) Class 9: Questions 36  40 of 109
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Question number: 36
» Analytical Reasoning and Logical Reasoning
Appeared in Year: 2014
Question
Among six friends L, M, N, P, Q and S, each having a different height, N is taller than Q and P but shorter than M. P is taller than only Q while S is shorter than only L. Which of the following pairs represents the tallest and the shortest respectively among the five friends?
Choices
Choice (4)  Response  

a.  M, P  
b.  L, Q  
c.  P, Q  
d.  None of the above 
Question number: 37
Appeared in Year: 2014
Question
PS and QT are the medians of and . If cm, find the value of RU.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 38
Appeared in Year: 2014
Question
OCDE is a rectangle inscribed in a quadrant of a circle of radius 10 cm. If , find the area of the rectangle.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 39
Appeared in Year: 2014
Question
If ‘ means ‘A is added to means ‘A is multiplied by means ‘A is divided by means ‘B is subtracted from A’; then number of boys (B) in a class is equal to onefourth of three times the number of girls (G) in the class can be represented as________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 40
Appeared in Year: 2014
Question
Fill in the blanks.
A circle is the collection of all points in a plane which are P from a fixed point in the plane. The fixed point is called Q of the circle and fixed distance is called R of the circle. A circle divides the plane on which it lies into S parts.
Choices
Choice (4)  Response  

a.  P Equidistant, Q centre, R radius, S three  
b.  P Normal, Q radius, R centre, S four  
c.  P Equal, Q radius, R centre, S two  
d.  P Distance, Q centre, R radius, S two 