IMO Mathematics Olympiad (SOF) Class 10: Questions 54  60 of 958
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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.  130hrs 

c.  90hrs 

d.  170hrs 

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.  0 

c.  1 

d.  1 or 2 

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.  5 

b.  9 

c.  3 

d.  2 

Question number: 60
Question
If ‘j’ and ‘k’ are rational numbers and , then k = ________
Choices
Choice (4)  Response  

a.  10 

b.  12 

c.  45 

d.  21 
