IMO Mathematics Olympiad Class 10: Questions 582  588 of 908
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Question number: 582
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: 583
Question
The value of is ________
Choices
Choice (4)  Response  

a.  1696 

b.  1638 

c.  3499 

d.  1292 

Question number: 584
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: 585
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: 586
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 

Question number: 587
Question
Four numbers are inserted between the numbers 10 and 40 such that an A. P. results. Find the biggest of these four numbers.
Choices
Choice (4)  Response  

a.  34 

b.  38 

c.  35 

d.  39 

Question number: 588
Question
If the sum of three consecutive terms of an increasing A. P. is 18 and the product of the first and third of these terms is 35, then the third term is ________
Choices
Choice (4)  Response  

a.  3 

b.  12 

c.  0 

d.  7 
