IMO Mathematics Olympiad Class 10: Questions 603  607 of 958
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Question number: 603
Question
Let Be the arithmetic progressions such that. The sum of the first one hundred terms of the progressions is ________
Choices
Choice (4)  Response  

a.  100 

b.  505000 

c.  10000 

d.  0 

Question number: 604
Question
If Belongs to A. P. such that , then the value of equals ________
Choices
Choice (4)  Response  

a.  2200 

b.  1232 

c.  616 

d.  308 

Question number: 605
Question
If four numbers are in A. P. such that their sum is 50 and the greatest number is 4 times the least, then the numbers are ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 606
Question
Find the sum of all threedigit natural numbers, which on being divided by 5, leaves remainder equal to 4.
Choices
Choice (4)  Response  

a.  57, 270 

b.  96, 780 

c.  49, 680 

d.  99, 270 

Question number: 607
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.  7 

b.  8 

c.  6 

d.  5 
