Arithmetic Progressions (IMO Mathematics Olympiad Class 10): Questions 36  41 of 84
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Question number: 36
» Arithmetic Progressions
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: 37
» Arithmetic Progressions
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: 38
» Arithmetic Progressions
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: 39
» 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.  7 

b.  8 

c.  6 

d.  5 

Question number: 40
» Arithmetic Progressions
Question
Between the numbers 5 and 50, 18 means are inserted, then their sum is ________
Choices
Choice (4)  Response  

a.  695 

b.  495 

c.  795 

d.  895 

Question number: 41
» Arithmetic Progressions
Question
If the term of an A. P are P, Q, R respectively, then equals ________
Choices
Choice (4)  Response  

a.  0 

b.  1 

c. 


d. 

