Arithmetic Progressions (IMO Mathematics Olympiad Class 10): Questions 12  18 of 84
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Question number: 12
» Arithmetic Progressions
Question
The arithmetic mean of a number of pair wise distinct prime numbers is 27. Determine the biggest prime among them.
Choices
Choice (4)  Response  

a.  45 

b.  48 

c.  46 

d.  47 

Question number: 13
» Arithmetic Progressions
Question
Obtain the sum of all positive integers up to 2000, which are divisible by 5 and not divisible by 2
Choices
Choice (4)  Response  

a.  2, 00, 000 

b.  1, 00, 000 

c.  3, 02, 000 

d.  5, 00, 000 

Question number: 14
» Arithmetic Progressions
Question
The sum of the first term and the fifth term of an ascending A. P. is 28 and the product of the second term by the fourth term is 180. Find the sum of the first seven terms of this A. P
Choices
Choice (4)  Response  

a.  133 

b.  115 

c.  140 

d.  126 

Question number: 15
» Arithmetic Progressions
Question
The value of is ________
Choices
Choice (4)  Response  

a.  1696 

b.  1638 

c.  3499 

d.  1292 

Question number: 16
» Arithmetic Progressions
Question
If Belongs to A. P. such that, then the value of equals ________
Choices
Choice (4)  Response  

a.  1300 

b.  1652 

c.  1400 

d.  1500 

Question number: 17
» Arithmetic Progressions
Question
The sum of the fourth term and the six term of an ascending A. P. is 50 and the product of the third term by the fifth term is 200. Find the sum of the first ten terms of this A. P
Choices
Choice (4)  Response  

a.  392.5 

b.  292.5 

c.  529.5 

d.  492.5 

Question number: 18
» Arithmetic Progressions
Question
In an A. P. , the sum of first n terms is, find its term
Choices
Choice (4)  Response  

a.  78 

b.  75 

c.  76 

d.  79 
