IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 198  204 of 968
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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.  1  
b.  3  
c.  4  
d.  2 
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.  6  
b.  6 or 6  
c.  5 or 5  
d.  5 
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.  2 and 7  
c.  3 and 6  
d.  4 and 5 
Question number: 203
Question
Quadratic polynomial having sum of its zeroes and product of its zeroes 3 is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 204
Question
The roots of the quadratic equation are in the ratio , then k equals ________
Choices
Choice (4)  Response  

a.  3  
b.  13  
c.  12  
d.  1 