Arithmetic Progressions (IMO Mathematics Olympiad (SOF) Class 10): Questions 69  75 of 84
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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 

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. 

