IMO Mathematics Olympiad (SOF) Class 10: Questions 103  109 of 958
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Question number: 103
» Pair of Linear Equations in Two Variables
Question
A pair of linear equations in two variables x and y is and, such that , then it has ________.
Choices
Choice (4)  Response  

a.  Unique solution 

b.  Can’t say 

c.  No solution 

d.  Infinitely many solutions 

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.  63 

b.  24 

c.  105 

d.  52 

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.  9 

c.  10 

d.  10 

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

a.  3 

b.  1 

c.  4 

d.  6 

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.  2 

b.  0 

c.  6 

d.  8 

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

a.  , 4 

b. 


c.  , 4 

d. 

