IMO Mathematics Olympiad Class 10: Questions 456  461 of 889
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Question number: 456
Question
Four vertices of a parallelogram taken in order are . What will be the ratio of a and b?
Choices
Choice (4)  Response  

a. 
 
b.  3: 1  
c.  2: 1  
d.  3: 4 
Question number: 457
Question
A Train maintains an average speed of 40 km/hr while going from L to M and maintains an average speed of 60 km/hr while coming back from M to L. the average speed of the bus is ________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 458
Question
Points are joined to form a quadrilateral. What will be the structure of quadrilateral?
Choices
Choice (4)  Response  

a.  Parallelogram  
b.  Rectangle  
c.  Square  
d.  Rhombus 
Question number: 459
Question
If are the midpoints of the sides of , the area of the triangle is ________
Choices
Choice (4)  Response  

a.  96 sq. units  
b.  24 sq. units  
c.  48 sq. units  
d.  50 sq. units 
Question number: 460
Question
The average of 10 results is 70. If the average of the first five results is 60 and that of the last five is 70, then the fifth result is ________
Choices
Choice (4)  Response  

a.  20  
b.  40  
c.  50  
d.  30 
Question number: 461
Question
If are the vertices of a right angle triangle, right angle at P, then a is ________
Choices
Choice (4)  Response  

a.  3  
b.  4  
c.  2  
d.  1 