IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 401  406 of 968
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Question number: 401
Question
If are the vertices of a right angle triangle, right angle at P, then a is ________
Choices
Choice (4)  Response  

a.  10  
b.  6  
c.  11  
d.  12 
Question number: 402
Question
Find the area of triangle if the coordinates of vertices are is ________
Choices
Choice (4)  Response  

a.  8sq. units.  
b.  3 sq. units  
c.  9sq. units  
d.  5 sq. units 
Question number: 403
Question
Find the area of triangle if the coordinates of vertices are is ________
Choices
Choice (4)  Response  

a.  7 sq. units  
b.  3 sq. units  
c.  5 sq. units  
d.  4 sq. units 
Question number: 404
Question
Two dice are thrown at a time. The probability that the difference of the numbers shown on the dice is 2 is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

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.  30  
b.  60  
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.  12  
b.  10  
c.  15  
d.  14 