IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 90  97 of 968
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Question number: 90
» Pair of Linear Equations in Two Variables
Question
The denominators of a rational number is greater than its numerator by 5. If 2 is subtracted from the numerator and 5 is added to the denominator, the new number becomes . Then the original number was ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 91
Question
If are the roots of the equation , then the equation whose roots are and is ________
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Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 92
Question
The difference of roots of the quadratic equation is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 93
Question
The sum of the reciprocals of the roots of the equation is ________
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Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 94
Question
If are the roots of the equation , then the quadratic equation whose roots are and is ________
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Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 95
Question
If are the roots of the equation , then the equation whose roots are and is ________
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Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 96
Question
If are the zeroes of the quadratic polynomial , then the value of is ________
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Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 97
» Pair of Linear Equations in Two Variables
Question
The denominators of a rational number is greater than its numerator by 10. If 5 is subtracted from the numerator and 3 is added to the denominator, the new number becomes . Then the original number was ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
