Pair of Linear Equations in Two Variables (IMO Mathematics Olympiad Class 10): Questions 20  25 of 82
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Question number: 20
» Pair of Linear Equations in Two Variables
Question
If , then the system of equations ________
Choices
Choice (4)  Response  

a.  May or may not have a solution 

b.  Has a unique solution 

c.  Has infinitely many solutions 

d.  Has no solution 

Question number: 21
» Pair of Linear Equations in Two Variables
Question
Solve for x and y in the following question:
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 22
» Pair of Linear Equations in Two Variables
Question
Solve for x and y in the following question:
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 23
» Pair of Linear Equations in Two Variables
Question
The sum of a two digit number and the number obtained by interchanging the digits of the number is 66. If the digits of the number differ by 4, then numbers are ________
Choices
Choice (4)  Response  

a.  98, 89 

b.  73, 37 

c.  91, 19 

d.  51, 15 

Question number: 24
» Pair of Linear Equations in Two Variables
Question
The value of k for which the system of equations has no solution, is ________
Choices
Choice (4)  Response  

a.  2 

b.  8 

c.  1 

d.  9 

Question number: 25
» Pair of Linear Equations in Two Variables
Question
Arun and Prabhat have some books with them. Once Prabhat said to Arun that if Arun gives 3 books to Prabhat then Arun will have only of the books that Prabhat will have with him. Then Arun asked frankly that if Prabhat gives him only two books (to Arun), then Prabhat will have as many books as Arun will have. The total number of books that Arun and Prabhat have with them is ________
Choices
Choice (4)  Response  

a.  Can’t be determined 

b.  25 

c.  56 

d.  30 
