IMO Mathematics Olympiad Class 9: Questions 282  286 of 919
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Question number: 282
» Lines, Angles and Quadrilaterals
Question
Two regular polygons are such that the ratio between their no. of sides is 1: 2 and the ratio of measures of their interior angles is 3: 4. Find the number of sides of each polygon.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 283
Question
In the medians XC, YB and ZA pass through O. If , then YB is ________
Choices
Choice (4)  Response  

a.  19  
b.  11  
c.  26  
d.  21 
Question number: 284
Question
In the figure , and . If the exterior angle XZK is , then the angle NMX is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 285
Question
The number of spherical balls each 4 cm in diameter be made out of a rectangular solid is ________
Choices
Choice (4)  Response  

a.  107  
b.  109  
c.  102  
d.  105 
Question number: 286
Question
The ratio between the perimeter and breadth of rectangle is . If the area of the rectangle is 116 sq. cm. then length of the rectangle is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
