IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 639  646 of 968
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Question number: 639
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: 640
Question
The value of is ________
Choices
Choice (4)  Response  

a.  420  
b.  210  
c.  195  
d.  390 
Question number: 641
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: 642
Question
Between the numbers 7 and 70,28 means are inserted, then their sum is ________
Choices
Choice (4)  Response  

a.  1795  
b.  1078  
c.  1695  
d.  1895 
Question number: 643
Question
In an A. P, If it is given that then is equal to ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 644
Question
The value of is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 645
Question
If up to n terms and n is even, then S equals________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 646
Question
Let denotes the sum of n terms of an A. P. , whose first term is a. if the common difference d is given by then K is equal to ________ ________
Choices
Choice (4)  Response  

a.  4  
b.  1  
c.  3  
d.  2 