Quadratic Equations (IMO Mathematics Olympiad Class 10): Questions 68  70 of 80
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Question number: 68
» Quadratic Equations
Question
In a bangle shop, if the shopkeeper displays the bangles in the form of a square then he is left with 15 bangles with him. If he wanted to increase the size of square by one unit each side of the square he found that 16 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.  310 

b.  240 

c.  290 

d.  260 

Question number: 69
» Quadratic Equations
Question
In the Maths Olympiad of 2030 at X Planet, two representatives from the Sejm’s side, while solving a quadratic equation, committed the following mistakes:
 One of them made a mistake in the constant term and got the roots as 14 and 6.
 Another one committed an error in the coefficient of x and he got the roots as 3 and 6
But in the meantime, they realized that they are wrong and they managed to get it right jointly. Find the quadratic equation.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 70
» Quadratic Equations
Question
One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 5 and 6. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

