IMO Mathematics Olympiad Class 10: Questions 648  652 of 699
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Question number: 648
Question
The sum of all terms of the arithmetic progression having ten terms except for the first term, is 81, and except for the sixth term, 55. Find the third term of the progression if the sum of the first and the fifth term is equal to 12.
Choices
Choice (4)  Response  

a.  5  
b.  15  
c.  10  
d.  8 
Question number: 649
Question
If a, b, c are in A. P, then is equal to ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 650
» Logical & Analytical Reasoning
Question
If in a certain language CHARCOAL is coded as 32143516 and MORALE is coded as 754168, then the REAL code is ________
Choices
Choice (4)  Response  

a.  4862  
b.  1648  
c.  4816  
d.  6216 
Question number: 651
» Logical & Analytical Reasoning
Question
At a farm, there are ducks, Horses, buffalo and keepers to look after them. There are 134 heads less than legs. The number of horses is double than that of the buffalo but the number of horses and ducks is the same and there is one keeper per 30 birds and cattle. The total number of ducks plus horses and buffalo and their keepers does not exceed 80. How many houses are there?
Choices
Choice (4)  Response  

a.  26  
b.  22  
c.  24  
d.  23 
Question number: 652
» Logical & Analytical Reasoning
Question
Find the missing number in the adjoining figure.
Choices
Choice (4)  Response  

a.  12  
b.  14  
c.  11  
d.  13 