abhinavsodha800 wrote:
Hi Bunnel,
could you please tell how the list of 10 terms will look like with product of any two term resulting to terminating decimal ? can we have all the numbers in list as 1/2 ?
1) can my list look like : 1/2,1/2, 1/2.... as per me this also satisfy the statement 2 and median is equal to 0.5 or can list have all the term as 1/5 , in that median will be 0.2?
8. List A consist of 10 terms, each of which is a reciprocal of a prime number, is the median of the list less than 1/5?
(2) The product of any two terms of the list is a terminating decimal. This statement implies that the list must consists of 1/2 or/and 1/5. Thus the median could be 1/2, 1/5 or (1/5+1/2)/2=7/20. None of the possible values is less than 1/5. Sufficient.
For (2) the set could be any combination of 1/2's and 1//5:
{1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2}
{1/5, 1/5, 1/5, 1/5, 1/5, 1/5, 1/5, 1/5, 1/5, 1/5}
{1/5, 1/5, 1/5, 1/5, 1/5, 1/2, 1/2, 1/2, 1/2, 1/2}
...
The median could be 1/2, 1/5 or (1/5+1/2)/2=7/20. None of the possible values is less than 1/5. So, we have a NO answer to the question. Sufficient.
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