IMO Mathematics Olympiad Class 10: Questions 406  410 of 889
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Question number: 406
Question
A box contains 40 balls of two different colours, out of which x are black. One ball is drawn at random. If 20 more black balls are put in the box, the probability of drawing a black ball now will be double that of the previous probability of drawing a black ball. Then, the value of x is ________
Choices
Choice (4)  Response  

a.  15 

b.  14 

c.  12 

d.  10 

Question number: 407
Question
A Motor maintains an average speed of 70 km/hr while going from P to Q and maintains an average speed of 85 km/hr while coming back from Q to P. the average speed of the motor is ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 408
Question
is three vertices of the parallelogram PQRS. The coordinates of fourth vertex is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 409
Question
Four vertices of a parallelogram taken in order are . What will be the ratio of a and b?
Choices
Choice (4)  Response  

a. 


b.  2: 9 

c.  3: 7 

d.  1: 9 

Question number: 410
Question
PQR is an isosceles triangle. If the coordinates of the base are , then the coordinates of the vertex P can be
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 
