IMO Mathematics Olympiad (SOF) Class 10: Questions 405  410 of 958
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Question number: 405
Question
The mean of 20 observations is. if each observation is multiplied by 2, then what is the new mean?
Choices
Choice (4)  Response  

a.  60 

b.  30 

c.  70 

d.  50 

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 
