Quote:
Originally Posted by madnikhil
How many sets of three or more consecutive odd numbers can be formed such that their sum is 500?
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n(2a+[n-1]d)/2 = 500
Hence n(2a+[n-1]d) =1000
Hence a= (500/n) - [n-1] [d=2]
Now to let n divide 500,n has to be its factors
Therefore 500=2^2 * 5^3
Hence no. of factors = 3*4 =12
But acc. to question,n cannot be 1 or 2.It cannot be 250 or 500
So we are left wid 4,5,10,20,25,50,100,125
Check by inserting it in the above equation.
For n=4, a=125-3=122 (Not possible as number has to be odd)
Checking all,I am getting only
one set for n=10,a=41(Not taking into account negative integers,Else Two)
Wats the OA?