IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 286  292 of 968
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Question number: 286
Question
The expression is divisible by. Then m is a divisor of ________
Choices
Choice (4)  Response  

a.  20 

b.  40 

c.  54 

d.  45 

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.  4 

b.  8 

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.  20 

b.  20 

c.  15 

d.  15 

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

a.  11 

b.  10 

c.  12 

d.  13 

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.  999 

b.  Can’t be determined 

c.  538 

d.  1690 

Question number: 292
Question
Solve the quadratic equation
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

