IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 452  459 of 968
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Question number: 452
» Triangle, Circle & Constructions
Question
In an isosceles triangle ABC, is bisected by AD where D lies on BC. It is found that . Then equals ________
Choices
Choice (4)  Response  

a. 
 
b.  
c.  
d. 
Question number: 453
Question
The mean of is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 454
Question
Area of quadrilateral formed by the vertices is ________
Choices
Choice (4)  Response  

a.  9 sq. units  
b.  8 sq. units  
c.  10 sq. units  
d.  7 sq. units 
Question number: 455
Question
The average of 6 number is 40. If one of the numbers is excluded, the mean gets reduced by 5. Then the excluded number is ________
Choices
Choice (4)  Response  

a.  35  
b.  55  
c.  65  
d.  45 
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.  2: 1  
b.  3: 4  
c.  3: 1  
d. 

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

a.  24 sq. units  
b.  50 sq. units  
c.  96 sq. units  
d.  48 sq. units 