Arithmetic Progressions (IMO Mathematics Olympiad Class 10): Questions 63  69 of 81
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Question number: 63
» Arithmetic Progressions
Question
If four numbers are in A. P. such that their sum is 20 and the greatest number is 2 times the least, then the numbers are ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 64
» Arithmetic Progressions
Question
If , then is equal to ________
Choices
Choice (4)  Response  

a.  1323 

b.  1353 

c.  1553 

d.  1243 

Question number: 65
» Arithmetic Progressions
Question
The sum of the first term and the fifth term of an ascending A. P. is 26 and the product of the second term by the fourth term is 160. Find the sum of the first seven terms of this A. P
Choices
Choice (4)  Response  

a.  112 

b.  114 

c.  116 

d.  110 

Question number: 66
» Arithmetic Progressions
Question
In an A. P. , the sum of first n terms is , find its term
Choices
Choice (4)  Response  

a.  126 

b.  175 

c.  179 

d.  178 

Question number: 67
» Arithmetic Progressions
Question
Find the sum of all the integers between 100 and 2000 which are divisible by 9
Choices
Choice (4)  Response  

a.  1, 22, 183 

b.  2, 12, 193 

c.  2, 22, 183 

d.  2, 32, 183 

Question number: 68
» Arithmetic Progressions
Question
The value of is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 69
» Arithmetic Progressions
Question
Product of the fourth term and the fifth term of an arithmetic progression is 456. Division of the ninth term by the fourth term of the progression gives quotient as 11 and the remainder as 10. Find the first term of the progression
Choices
Choice (4)  Response  

a.  46 

b.  66 

c.  76 

d.  96 
