IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 75  83 of 968
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Question number: 75
Question
A circular field has a circumference of 600 km. Two cyclists Sumeet and Samrat start together and can cycle at speeds of 15 km/hr and 20 km/hr respectively round the circular field. After how many hours will they meet again at the starting point?
Choices
Choice (4)  Response  

a.  120 hrs  
b.  90 hrs  
c.  100 hrs  
d.  160 hrs 
Question number: 76
Question
is equal to ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 77
Question
________
Choices
Choice (4)  Response  

a.  24  
b.  12  
c.  96  
d.  48 
Question number: 78
Question
is ________
Choices
Choice (4)  Response  

a.  Not a real number  
b.  A rational number  
c.  An irrational number  
d.  An integer 
Question number: 79
Question
Which of the following numbers has the terminating decimal representation?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 80
Question
Smaller number amongst and is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 81
Question
If the zero of the quadratic polynomial is 3, then the value of k is ________
Choices
Choice (4)  Response  

a.  6  
b.  3  
c.  8  
d.  1 
Question number: 82
Question
If are the roots of the cubic , the value of is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 83
» Pair of Linear Equations in Two Variables
Question
At the end of the year 2006, Prit was half old as his grandpa. The sum of the years in which they were born is 3922. Age of Prit at the end of year 2007 is ________
Choices
Choice (4)  Response  

a.  21 years  
b.  41 years  
c.  31 years  
d.  51 years 