Pair of Linear Equations in Two Variables (IMO Mathematics Olympiad (SOF) Class 10): Questions 75  80 of 82
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Question number: 75
» Pair of Linear Equations in Two Variables
Question
The value of k, for which the system of equations represent parallel lines is ________
Choices
Choice (4)  Response  

a.  3 

b.  2 

c.  1 

d.  4 

Question number: 76
» Pair of Linear Equations in Two Variables
Question
Places and are 250 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 5 hours and if they go in opposite directions they meet in hours. The speeds of the cars are ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 77
» 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: 78
» Pair of Linear Equations in Two Variables
Question
The sum of two numbers is 7 and the sum of their squares is 29. The numbers are ________
Choices
Choice (4)  Response  

a.  9 and 6 

b.  2 and 5 

c.  1 and 2 

d.  8 and 5 

Question number: 79
» Pair of Linear Equations in Two Variables
Question
The equations representing the given graph is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 80
» Pair of Linear Equations in Two Variables
Question
A boat goes 20 km upstream and 33 km downstream in 10 hours. In 13 hours, it can go 30 km upstream and 44 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

