IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 104  110 of 968
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Question number: 104
» Pair of Linear Equations in Two Variables
Question
The digit at the ten’s place of a two digit number is twice the digit at the unit’s place. If the sum of this number and the number formed by reversing the digits is 165, find the number.
Choices
Choice (4)  Response  

a.  52 

b.  63 

c.  24 

d.  105 

Question number: 105
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: 106
Question
The difference of roots of the quadratic equation is ________
Choices
Choice (4)  Response  

a.  9 

b.  10 

c.  10 

d.  9 

Question number: 107
Question
Degree of polynomial is ________
Choices
Choice (4)  Response  

a.  6 

b.  1 

c.  3 

d.  4 

Question number: 108
» Pair of Linear Equations in Two Variables
Question
The value of k for which the system of equations has a nonzero solution, is ________
Choices
Choice (4)  Response  

a.  0 

b.  8 

c.  6 

d.  2 

Question number: 109
Question
When is divided by , the quotient and remainder is ________
Choices
Choice (4)  Response  

a.  , 4 

b. 


c.  , 4 

d. 


Question number: 110
» 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.  3 

b.  1 

c.  6 

d.  0 
