IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 191  197 of 968
Access detailed explanations (illustrated with images and videos) to 968 questions. Access all new questions we will add tracking exampattern and syllabus changes. Unlimited Access for Unlimited Time! View Sample Explanation or View Features.
Rs. 450.00 or
How to register?
Question number: 191
» 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 88. If the digits of the number differ by 6, then numbers are ________
Choices
Choice (4)  Response  

a.  43,34  
b.  71,17  
c.  41,14  
d.  65,56 
Question number: 192
Question
If are two numbers such that . Then are the roots of the quadratic equation ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 193
Question
The sum of the reciprocals of the roots of the equation is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 194
» 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: 195
» 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: 196
Question
If the sum of the squares of zeroes of the polynomial is , find the value of k
Choices
Choice (4)  Response  

a.  4  
b.  4  
c.  3  
d.  3 
Question number: 197
» 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.  0  
b.  7  
c.  6  
d.  2 