Pair of Linear Equations in Two Variables (IMO Mathematics Olympiad (SOF) Class 10): Questions 45  51 of 82
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Question number: 45
» Pair of Linear Equations in Two Variables
Question
The sum of two numbers is 10 and the sum of their squares is 50. The numbers are ________
Choices
Choice (4)  Response  

a.  12 and 7 

b.  8 and 6 

c.  5 and 5 

d.  2 and 8 

Question number: 46
» 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 132. If the digits of the number differ by 2, then numbers are ________
Choices
Choice (4)  Response  

a.  29, 92 

b.  75, 57 

c.  13, 31 

d.  23, 32 

Question number: 47
» Pair of Linear Equations in Two Variables
Question
The value of k for which the system of equations has a unique solution, is ________
Choices
Choice (4)  Response  

a. 


b.  = 2 

c. 


d.  = 1 

Question number: 48
» Pair of Linear Equations in Two Variables
Question
The sum of two numbers is 20 and the sum of their squares is 40. The numbers are ________
Choices
Choice (4)  Response  

a.  12 and 17 

b.  14 and 25 

c.  13 and 16 

d.  12 and 15 

Question number: 49
» Pair of Linear Equations in Two Variables
Question
Solve for x and y in the following question:
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 50
» 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 121. If the digits of the number differ by 5, then numbers are ________
Choices
Choice (4)  Response  

a.  37, 73 

b.  38, 83 

c.  62, 26 

d.  42, 24 

Question number: 51
» Pair of Linear Equations in Two Variables
Question
At the end of the year 2002, Rahul was half old as his grandpa. The sum of the years in which they were born is 3824. Age of Rahul at the end of year 2003 is ________
Choices
Choice (4)  Response  

a.  36 years 

b.  50 years 

c.  61 years 

d.  35 years 
