IMO Mathematics Olympiad Class 10: Questions 17  23 of 958
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Question number: 17
Question
is integers, none of which are divisible by 4. The remainder when is divided by 4 is ________
Choices
Choice (4)  Response  

a.  1 or 2 

b.  1 

c.  0 

d.  0 or 1 

Question number: 18
Question
Sum of squares of the two consecutive natural numbers is 421. The two consecutive numbers respectively________
Choices
Choice (4)  Response  

a.  14 and 15 

b.  34 and 35 

c.  21 and 22 

d.  67 and 68 

Question number: 19
Question
Given that H. C. F, find L. C. M.
Choices
Choice (4)  Response  

a.  19584 

b.  22513 

c.  21390 

d.  23625 

Question number: 20
Question
Given that H. C. F, find L. C. M.
Choices
Choice (4)  Response  

a.  100620 

b.  100420 

c.  100520 

d.  100320 

Question number: 21
Question
Rational number between and is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 22
Question
A eight digit number is a multiple of 73 and 137. If the second digit from left is 7, then 6^{th} digit from the left of the number is ________
Choices
Choice (4)  Response  

a.  3 

b.  5 

c.  7 

d.  9 

Question number: 23
Question
is ________
Choices
Choice (4)  Response  

a.  An integer 

b.  A natural number 

c.  An irrational number 

d.  A rational number 
