Pair of Linear Equations in Two Variables (IMO Mathematics Olympiad (SOF) Class 10): Questions 57  61 of 82
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Question number: 57
» Pair of Linear Equations in Two Variables
Question
Places and are 300 km apart from each other on a national highway. A car starts from and another from at the same time. If they go in the same direction then they meet in 15 hours and if they go in opposite directions they meet in hours. The speed of the cars are ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 58
» Pair of Linear Equations in Two Variables
Question
The solution of the system of equations and, is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 59
» Pair of Linear Equations in Two Variables
Question
The value of k for which the system of equations, has infinite number of solutions, is ________
Choices
Choice (4)  Response  

a.  6 

b.  2 

c.  7 

d.  0 

Question number: 60
» Pair of Linear Equations in Two Variables
Question
Places and are 400 km apart from each other on a national highway. A car starts from and another from at the same time. If they go in the same direction then they meet in 2 hours and if they go in opposite directions they meet in hours. The speed of the cars are ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 61
» Pair of Linear Equations in Two Variables
Question
Value of x in pair of linear equations is ________
Choices
Choice (4)  Response  

a.  2 

b.  4 

c.  1 

d.  3 
