Arithmetic Progressions (IMO Mathematics Olympiad Class 10): Questions 70  76 of 81
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Question number: 70
» Arithmetic Progressions
Question
Six numbers are inserted between the numbers 6 and 97 such that an A. P. results. Find the seventh numbers.
Choices
Choice (4)  Response  

a.  48 

b.  84 

c.  98 

d.  89 

Question number: 71
» Arithmetic Progressions
Question
If ‘a’ is the A. M. of 3 numbers and ‘b’ is the A. M. of their squares, then the A. M. of their pairwise products in terms of a and b is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 72
» Arithmetic Progressions
Question
The value of is ________
Choices
Choice (4)  Response  

a.  390 

b.  195 

c.  210 

d.  420 

Question number: 73
» Arithmetic Progressions
Question
If four numbers are in A. P. such that their sum is 90 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: 74
» Arithmetic Progressions
Question
Between the numbers 7 and 70, 28 means are inserted, then their sum is ________
Choices
Choice (4)  Response  

a.  1695 

b.  1078 

c.  1895 

d.  1795 

Question number: 75
» Arithmetic Progressions
Question
In an A. P, If it is given that then is equal to ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 76
» Arithmetic Progressions
Question
The value of is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

