Arithmetic Progressions (IMO Mathematics Olympiad Class 10): Questions 66  72 of 84
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 958 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 450.00 or
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 

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 
