Pair of Linear Equations in Two Variables (IMO Mathematics Olympiad Class 10): Questions 10  14 of 82
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Question number: 10
» 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: 11
» 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: 12
» 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: 13
» 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.  1 

b.  0 

c.  3 

d.  6 

Question number: 14
» Pair of Linear Equations in Two Variables
Question
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

