IMO Mathematics Olympiad Class 10: Questions 198  202 of 908
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Question number: 198
» 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: 199
» 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 

Question number: 200
Question
If a and b are the roots of the quadratic equation with the condition , then the value of ‘q’ is ________
Choices
Choice (4)  Response  

a.  5 

b.  6 or 6 

c.  5 or 5 

d.  6 

Question number: 201
» Pair of Linear Equations in Two Variables
Question
Which of the following system of equations has infinitely many solutions?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All a. , b. and c. are correct 

Question number: 202
» Pair of Linear Equations in Two Variables
Question
The sum of two numbers is 9 and the sum of their squares is 41. The numbers are ________
Choices
Choice (4)  Response  

a.  1 and 8 

b.  3 and 6 

c.  4 and 5 

d.  2 and 7 
