IMO Mathematics Olympiad Class 10: Questions 261  267 of 699
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Question number: 261
Question
If one roots of is 3 times the other; the value of p is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 262
Question
A convex polygon has 77 diagonals. The number of its sides is ________
Choices
Choice (4)  Response  

a.  11  
b.  14  
c.  8  
d.  3 
Question number: 263
Question
The square of a number is decreased by 24. This value is twice the original number. Then the number is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 264
Question
In the equation , the sum of the roots is 3 and the product of the roots is 25. Then h and k respectively, have the values ________
Choices
Choice (4)  Response  

a.  9 and 5  
b.  9 and 5  
c.  9 and 5  
d.  9 and 5 
Question number: 265
Question
If one roots of is twice the other root, and then the value of ‘b’ is ________
Choices
Choice (4)  Response  

a.  3  
b.  9  
c. 
 
d.  9 
Question number: 266
Question
Solve the equation by using quadratic formula, then x is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 267
Question
A convex polygon has 90 diagonals. The number of its sides is ________
Choices
Choice (4)  Response  

a.  19  
b.  15  
c.  14  
d.  10 