IMO Level 1 Mathematics Olympiad (SOF) Class 11: Questions 10  16 of 17
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Question number: 10
Question
Value of
Choices
Choice (4)  Response  

a.  2 

b.  4 

c.  0 

d.  6 

Question number: 11
» Sets, Relations and Functions
Question
If two Set A and B are having 44 elements in common. Number of elements common to is
Choices
Choice (4)  Response  

a.  1976 

b.  1900 

c.  44 

d.  1936 

Question number: 12
» Sets, Relations and Functions
Question
Let two numbers have arithmetic mean 9 and geometric mean 4. Then these number are the roots of the equation.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 13
» Sets, Relations and Functions
Question
Number greater than 1000 but not greater than 4000 which can be formed with the digits 0,1, 2,3, 4 (repetition of digits is allowed) are
Choices
Choice (4)  Response  

a.  350 

b.  576 

c.  450 

d.  375 

Question number: 14
Question
A focus of an ellipse is at the origin. The directrix is the line and the eccentricity is . then the length of the semimajor axis is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 15
» Sets, Relations and Functions
Question
If A, B, C are nonempty sets and
Choices
Choice (4)  Response  

a.  A = B but A≠C 

b.  A = C but B≠C 

c.  A, B, C may be disjoint set also 

d.  A = B=C 

Question number: 16
Question
The foci of the ellipse and the hyperbola coincide. Then the value of
Choices
Choice (4)  Response  

a.  7 

b.  5 

c.  1 

d.  9 
