piyush_nitt wrote:sanju09 wrote:Zipper wrote:Sure,
we know that 20% of the men over 65 are still working.
we can't have 4 men coz 20% of 4 men would be 4/5, not a complete person. You can't have 7 men for instance coz the working men would be 1 and 2/5 men. it can be 10, 15 20 and so on, has to be a multiple of 5.
NOTE that you don't need the number of people to know the percentage. I went with 5 coz it was the first number that worked and you could calculate if the percentage of the whole group of people will be over 10%.
The same goes for women.
We don't know what percent of the population over 65 are men or women but since neither men or women are less than 10% hence we don't need the number of people/percents(men, women) in order to be sure that the group has more than 10% working.
I hope it's clearer now.
IMO B
and my explanation is not a single word different from yours. What should I be writing in such cases, Zipper?

Thanks for all help guys!
OA is indeed B
But I need a clarification here
As per my understanding we need to answer the Question that "what percentage of population comprises of 65 yr old working men or women"?
1. gives you total population : say if total population is 100% then 11.3%among them are 65 yrs and old.
2. gives a %age of 65 yrs old working : so 20% of 65 yrs old men or 10 % of of 65 yrs old women
As per 2 we cannot make out what is the percentage of 65 yrs old in the entire population and that information is provided by 1.
Using both we can find out the exactly what percentage of entire population 65 yrs old working men or women comprises.
there fore correct answer should be C.
Please correct ME!
It is needless to mention again that st 1 is not sufficient to answer the question. Now, why B? And why not C? So see:
Read the question stem, it asks whether or not the percent of working persons of the said category, is atleast 10; and st 2 reads that 20% of men of the said category, and 10% of women of the said category are working. When we come down to decide the minimum possible number of working men or women, it is always 1 in each case. If 20% of men of the said category is 1 man, then total number of men of said category will be 5; and if 10% of women of the said category is 1 woman, then total number of women of said category will be 10. This means that a feasible sample of (5 m + 10 w) 15 persons will definitely contain (1 m + 1 w) 2 persons as working; and (2/15)*100% > 10%.
This way, we are always able to answer it using statement 2 alone. Hence B. We do not require st 1 be mixed, hence not C.
I hope doubts are cleared now, isn't it?