Quadratic Equations (IMO Mathematics Olympiad Class 10): Questions 55  59 of 80
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Question number: 55
» Quadratic Equations
Question
If the equation has equal roots, and then the both roots are equal to ________
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Choice (4)  Response  

a. 


b. 


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d. 


Question number: 56
» Quadratic Equations
Question
In a bangle shop, if the shopkeeper displays the bangles in the form of a square then he is left with 50 bangles with him. If he wanted to increase the size of square by one unit each side of the square he found that 29 bangles fall short of in completing the square. The actual number of bangles which he had with him in the shop was ________
Choices
Choice (4)  Response  

a.  1571 

b.  1538 

c.  1632 

d.  1999 

Question number: 57
» Quadratic Equations
Question
In the equation , the roots are equal when ________
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Choice (4)  Response  

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d. 


Question number: 58
» Quadratic Equations
Question
A man walks a distance of 48 km in a given time. If he walks 2 km/hr faster, he will perform the journey 4 hrs before. His normal rate of walking, is ________
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Choice (4)  Response  

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Question number: 59
» Quadratic Equations
Question
One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 16 and 4. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are
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Choice (4)  Response  

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b. 


c. 


d. 

