IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 111  116 of 968
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Question number: 111
Question
If one zero of the polynomial is a reciprocal of the other, then p is equal to ________
Choices
Choice (4)  Response  

a.  4 

b.  6 

c.  8 

d.  7 

Question number: 112
» Pair of Linear Equations in Two Variables
Question
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 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: 113
Question
If are the zeroes of the quadratic polynomial such that, then the value of k is ________
Choices
Choice (4)  Response  

a.  6 

b.  6 

c.  5 

d.  5 

Question number: 114
Question
If be the zeroes of the quadratic polynomial, then the value of =________
Choices
Choice (4)  Response  

a.  4 

b.  1 

c.  2 

d.  1 

Question number: 115
Question
If a and b are the roots of the equation, then the equation if the roots are ?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 116
Question
If a and b are the roots of the quadratic equation with the condition , then the value of ‘p’ is ________
Choices
Choice (4)  Response  

a.  1 

b.  7 

c.  7 or 7 

d.  7 
