IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 134  139 of 968
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Question number: 134
» Pair of Linear Equations in Two Variables
Question
Arun and Prabhat have some books with them. Once Prabhat said to Arun that if Arun gives 3 books to Prabhat then Arun will have only of the books that Prabhat will have with him. Then Arun asked frankly that if Prabhat gives him only two books (to Arun), then Prabhat will have as many books as Arun will have. The total number of books that Arun and Prabhat have with them is ________
Choices
Choice (4)  Response  

a.  56  
b.  30  
c.  25  
d.  Can’t be determined 
Question number: 135
» Pair of Linear Equations in Two Variables
Question
Which of the following system of equations has unique solution?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 136
» Pair of Linear Equations in Two Variables
Question
Value of x in pair of linear equations is ________
Choices
Choice (4)  Response  

a.  7  
b.  5  
c.  3  
d.  4 
Question number: 137
Question
The roots of the quadratic equation are in the ratio , then k equals ________
Choices
Choice (4)  Response  

a.  17.4  
b.  16.5  
c.  14.4  
d.  13.4 
Question number: 138
» 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.  9  
b.  4  
c.  3  
d.  5 
Question number: 139
» Pair of Linear Equations in Two Variables
Question
The denominators of a rational number is greater than its numerator by 4. If 4 is subtracted from the numerator and 6 is added to the denominator, the new number becomes . Then the original number was ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
