Arithmetic Progressions (IMO Mathematics Olympiad Class 10): Questions 25  30 of 84
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Question number: 25
» Arithmetic Progressions
Question
Find the sum of all threedigit natural numbers, which on being divided by 7, leave remainder equal to 3.
Choices
Choice (4)  Response  

a.  65, 780 

b.  99, 650 

c.  70, 231 

d.  32, 270 

Question number: 26
» Arithmetic Progressions
Question
The sum of the first terms of the arithmetic progression is equal to half the sum of the next terms of the same progression. Find the ratio of the sum of the first terms of the progression to the sum of its first terms
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 27
» Arithmetic Progressions
Question
Let Be the arithmetic progressions such that. The sum of the first two hundred terms of the progressions is ________
Choices
Choice (4)  Response  

a.  20000 

b.  40000 

c.  30000 

d.  60000 

Question number: 28
» Arithmetic Progressions
Question
The value of is ________
Choices
Choice (4)  Response  

a.  40 

b.  30 

c.  20 

d.  50 

Question number: 29
» Arithmetic Progressions
Question
Four numbers are inserted between the numbers 12 and 62 such that an A. P. results. Find the biggest of these four numbers.
Choices
Choice (4)  Response  

a.  62 

b.  52 

c.  72 

d.  82 

Question number: 30
» Arithmetic Progressions
Question
The sum of the terms of an arithmetical progression is 42. The sum of the term of the progression is 52. How do I find the first term, common difference, and sum of the ten terms of the progression?
Choices
Choice (4)  Response  

a.  256 

b.  235 

c.  236 

d.  267 
