IMO Mathematics Olympiad Class 10: Questions 285  291 of 908
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Question number: 285
Question
Which of the statements given below is correct. If discriminant for equation is D________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  D is not defined 

Question number: 286
Question
The expression is divisible by . Then m is a divisor of ________
Choices
Choice (4)  Response  

a.  54 

b.  20 

c.  45 

d.  40 

Question number: 287
Question
The positive value of k for which the equations and will both have real roots, is ________
Choices
Choice (4)  Response  

a.  8 

b.  4 

c.  16 

d.  12 

Question number: 288
Question
Solve the equation by using quadratic formula, then x is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 289
Question
If one roots of is twice the other root, then the value of ‘a’ is ________
Choices
Choice (4)  Response  

a.  15 

b.  15 

c.  20 

d.  20 

Question number: 290
Question
A convex polygon has 44 diagonals. The number of its sides is ________
Choices
Choice (4)  Response  

a.  13 

b.  10 

c.  11 

d.  12 

Question number: 291
Question
In a bangle shop, if the shopkeeper displays the bangles in the form of a square then he is left with 38 bangles with him. If he wanted to increase the size of square by one unit each side of the square he found that 25 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.  1690 

b.  Can’t be determined 

c.  999 

d.  538 
