IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 239  245 of 968
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Question number: 239
» Pair of Linear Equations in Two Variables
Question
A boat goes 20 km upstream and 33 km downstream in 10 hours. In 13 hours, it can go 30 km upstream and 44 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 240
Question
The difference of roots of the quadratic equation is ________
Choices
Choice (4)  Response  

a.  6 

b.  6 

c. 


d. 


Question number: 241
Question
Which of the statements given below is correct. If discriminant for equation is D________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 242
Question
If the equation has equal roots, and then the both roots are equal to ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 243
Question
If the equation has roots and, then the value of is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 244
Question
Find the value of ‘p’ if sum of roots of is 3
Choices
Choice (4)  Response  

a.  12 

b.  16 

c.  16 

d.  12 

Question number: 245
Question
If one roots of is thrice the other root, then the value of ‘a’ is ________
Choices
Choice (4)  Response  

a.  8 

b. 


c.  8 

d. 

