IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 275  282 of 968
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Question number: 275
Question
Two numbers whose sum is 6 and absolute value of whose difference is 8 are the roots of the equation ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 276
Question
The expression is divisible by . Then m is a divisor of ________
Choices
Choice (4)  Response  

a.  20  
b.  12  
c.  16  
d.  4 
Question number: 277
Question
The roots of the equation can be found by solving ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 278
Question
Solve the equation by using quadratic formula, then x is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 279
Question
In the equation , the sum of the roots is 4 and the product of the roots is . Then h and k respectively, have the values ________
Choices
Choice (4)  Response  

a.  4 and 3  
b.  8 and 3  
c.  8 and 6  
d.  3 and 8 
Question number: 280
Question
Find the value of ‘k’ if product of roots of is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 281
Question
If have a common root, then the value of ‘a’ is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  Only 1  
d. 

Question number: 282
Question
In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’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 5 and 9.
Another one committed an error in the coefficient of x and he got the roots as 12 and 4
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. 
