IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 635  641 of 968
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Question number: 635
Question
Find the sum of all the integers between 100 and 2000 which are divisible by 9
Choices
Choice (4)  Response  

a.  2,32,183 

b.  2,22,183 

c.  1,22,183 

d.  2,12,193 

Question number: 636
Question
The value of is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 637
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.  66 

b.  76 

c.  46 

d.  96 

Question number: 638
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.  84 

b.  48 

c.  89 

d.  98 

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 
