IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 52  59 of 968
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Question number: 52
Question
Rationalizing factor of
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 53
Question
is integers, none of which are divisible by 5. The remainder when is divided by 5 is ________
Choices
Choice (4)  Response  

a.  1 or 2  
b.  1  
c.  0  
d.  All of the above 
Question number: 54
Question
Circular field has a circumference of 360 km. two cyclists Sumeet and Samrat start together and can cycle at speeds of 20 km/hr and 24 km/hr respectively round the circular field. After how many hours will they meet again at the starting point?
Choices
Choice (4)  Response  

a. 
 
b.  170hrs  
c.  90hrs  
d.  130hrs 
Question number: 55
Question
Ascending order of the surds is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 56
Question
Descending order of the surds
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 57
Question
is integers, none of which are divisible by 9. The remainder when is divided by 9 is ________
Choices
Choice (4)  Response  

a.  0 or 1  
b.  1 or 2  
c.  1  
d.  0 
Question number: 58
Question
If , then t is equal to ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 59
Question
A ten digit number is a multiple of 11 and 9091. If the second digit from left is 5, then 7^{th} digit from the left of the number is ________
Choices
Choice (4)  Response  

a.  9  
b.  3  
c.  2  
d.  5 