Quadratic Equations (IMO Mathematics Olympiad (SOF) Class 10): Questions 64  68 of 80
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Question number: 64
» Quadratic Equations
Question
The expression is divisible by . Then k is a divisor of ________
Choices
Choice (4)  Response  

a.  106 

b.  120 

c.  162 

d.  135 

Question number: 65
» Quadratic Equations
Question
One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are
Choices
Choice (4)  Response  

a. 


b. 


c.  3, 2 

d. 


Question number: 66
» Quadratic Equations
Question
Sum of two numbers x and y is 8 and the absolute value of their difference is 10 the equation with these numbers as roots is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 67
» Quadratic Equations
Question
If the roots of equation are in the ratio , then
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


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 
