Arithmetic Progressions (IMO Mathematics Olympiad Class 10): Questions 7  11 of 84
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Question number: 7
» Arithmetic Progressions
Question
Between the numbers 2 and 20, 8 means (such that 10 numbers are in arithmetic progression) are inserted, then their sum is ________
Choices
Choice (4)  Response  

a.  176 

b.  44 

c.  88 

d.  60 

Question number: 8
» Arithmetic Progressions
Question
Between the numbers 6 and 60, 28 means (such that 10 numbers are in arithmetic progression) are inserted, then their sum is ________
Choices
Choice (4)  Response  

a.  1881 

b.  1914 

c.  1526 

d.  1836 

Question number: 9
» Arithmetic Progressions
Question
A number 20 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.
Choices
Choice (4)  Response  

a.  4 

b.  8 

c.  9 

d.  12 

Question number: 10
» Arithmetic Progressions
Question
The number of terms common between the two series Up to 50 terms and the series up to 60 terms is ________
Choices
Choice (4)  Response  

a.  24 

b.  26 

c.  20 

d.  25 

Question number: 11
» Arithmetic Progressions
Question
65 bugs are placed at different squares of a 9 × 9 square board. A bug in each moves to a horizontal or vertical adjacent square. No bug makes two horizontal or two vertical moves in succession.
Choices
Choice (4)  Response  

a.  After some moves, there will be at least four bugs in the same square 

b.  After some moves, there will be at least one bug in the same square 

c.  After some moves, there will be at least three bugs in the same square 

d.  After some moves, there will be at least two bugs in the same square 
