IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 267  274 of 968
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Question number: 267
Question
A convex polygon has 90 diagonals. The number of its sides is ________
Choices
Choice (4)  Response  

a.  15  
b.  10  
c.  19  
d.  14 
Question number: 268
Question
One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 4 and 5. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  5,4  
d. 

Question number: 269
Question
Two numbers whose sum is 10 and absolute value of whose difference is 4 are the roots of the equation ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 270
Question
For what value of ‘P’ the roots of P are equal
Choices
Choice (4)  Response  

a. 
 
b.  6,4  
c.  4, 1  
d.  3, 8 
Question number: 271
Question
A convex polygon has 20 diagonals. The number of its sides is ________
Choices
Choice (4)  Response  

a.  8  
b.  12  
c.  9  
d.  7 
Question number: 272
Question
Which of the statements given below is correct. If discriminant for equation is D________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 273
Question
The roots of are real and unreal, if is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 274
Question
A man walks a distance of 50 km in a given time. If he walks 5 km/hr faster, he will perform the journey 5 hrs before. His normal rate of walking, is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
