IMO Mathematics Olympiad Class 10: Questions 330  335 of 699
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Question number: 330
Question
A number 20 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.
Choices
Choice (4)  Response  

a.  4  
b.  8  
c.  9  
d.  12 
Question number: 331
Question
The number of terms common between the two series Up to 50 terms and the series up to 60 terms is ________
Choices
Choice (4)  Response  

a.  24  
b.  26  
c.  20  
d.  25 
Question number: 332
Question
The mean of 12 observations is . By error, one observation was noted as was misread as 21. Then the correct mean is ________
Choices
Choice (4)  Response  

a.  23.25  
b.  28.25  
c.  27.25  
d.  29.25 
Question number: 333
Question
Four vertices of a parallelogram taken in order are . What will be the ratio of a and b?
Choices
Choice (4)  Response  

a.  12: 13  
b.  13: 12  
c.  14: 17  
d.  13: 14 
Question number: 334
Question
A bag contains 10 balls of two different colours, out of which x are cyan. One ball is drawn at random. If 20 more cyan balls are put in the bag, the probability of drawing a cyan ball now will be double that of the previous probability of drawing a cyan ball. Then, the value of x is ________
Choices
Choice (4)  Response  

a.  4  
b.  5  
c.  8  
d.  9 
Question number: 335
Question
The area of triangle formed by the points is 60 units. How many values of p are possible?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
