Pair of Linear Equations in Two Variables (IMO Mathematics Olympiad Class 10): Questions 43  48 of 82
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Question number: 43
» 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 110. If the digits of the number differ by 8, then numbers are ________
Choices
Choice (4)  Response  

a.  71, 17 

b.  91, 19 

c.  81, 18 

d.  61, 16 

Question number: 44
» Pair of Linear Equations in Two Variables
Question
In a the three angles will be ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


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 
