IMO Mathematics Olympiad Class 10: Questions 58  64 of 908
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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 

Question number: 61
Question
is ________
Choices
Choice (4)  Response  

a.  A rational number 

b.  An irrational number 

c.  Real number 

d.  All of the above 

Question number: 62
Question
A twelve digit number is a multiple of 101 and 9901. If the second digit from left is 8, then 8^{th} digit from the left of the number is ________
Choices
Choice (4)  Response  

a.  7 

b.  6 

c.  5 

d.  8 

Question number: 63
Question
Which of the following numbers has the terminating decimal representation?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 64
Question
Sum of squares of the two consecutive natural numbers is 85. The two consecutive numbers respectively________
Choices
Choice (4)  Response  

a.  4 and 5 

b.  1 and 2 

c.  3 and 4 

d.  6 and 7 
