If Set A consists of 10 numbers, each number reciprocal of a prime num

Hi @godblessme, I agree that St1 is not sufficient and I made a mistake above. But, St2 is sufficient as it provides a definitive answer that median is less than or equal to 1/5 and not greater than 1/5.

Answer should be B.

Hi Vyshak

Thanks for pointing out my mistake, i misread the question as is Md<1/5 whereas it was is Md>1/5, yes you are right statement 2 alone is sufficient to obtain a definitive answer thank you and please consider a kudos for my post m trying hard to unlock tests

Hello ,

Answer should be as per vyshak!! My friend godbless me the question stem is IS Median>1/5 which will never be the case as per your solution it can be either< or = !! Hope it helps

Yup my fren Rocky got it and so i have already deleted my post and even modified my solution Please consider a kudos for your fren

Guys : option 2 is sufficient : Max it can hit 1/5 1/5 + 1/5 )/2 = 1/5 ....

D. Both are insufficient.
(1)
1/5,1/7,1/11,1/13,1/17

(2)
Irrelevant if the first prime number is 1/5 or greater.

I feel like it's B, no?

Is the median of the Set A > 1/5?

1) There are at least 5 different numbers in the Set.

Could be:

1/13, 1/11, 1/7, 1/5, 1/5, 1/3, 1/3, 1/2, 1/2, 1/2 YES
1/13, 1/13, 1/11, 1/11, 1/7, 1/5, 1/5, 1/3, 1/3, 1/2, NO

2) No number is used more than 2 times in the set.

1/11, 1/11, 1/7, 1/7, 1/5, 1/5, 1/3, 1/3, 1/2, 1/2 median=1/5. This is the BIGGEST fraction the median could be. Choosing any other number would make the median smaller, so the median cannot be larger than 1/5.

Hi,

Lets see first the info provided by the Q

1) Set has 10 numbers.
2) each is a reciprocal of a prime number. so each is a fraction of form : 1/2,1/3,1/5...
3) Median for this set will depend on 5th and 6th numbers in the ascending/descending order.

lets see the statements..

1) There are atleast 5 different numbers in the Set.
the numbers could be 1/2,1/2,1/2,1/2,1/3,1/3,1/5,1/7,1/7,1/11... median = 1/3.. >1/5 YES
the numbers could be 1/2,1/3,1/5,1/7,1/7,1/7,1/7,1/7,1/7,1/11... median = 1/7.. >1/5 NO..
we get two different answers .. insuff

2) No number is used more than 2 times in the set.
We now know that each number can be written only twice..
since we are looking for 'larger', so lets test for the best possible case for largest number possible..
best case will be when biggest number are used twice..
It will be reciprocal of smallest number 2,3,5,7,11..
so largest possible numbers in the set is\(\frac{1}{2},\frac{1}{2},\frac{1}{3},\frac{1}{3},\frac{1}{5},\frac{1}{5},\frac{1}{7},\frac{1}{7},\frac{1}{11},\frac{1}{11}\)..
median =1/5..
so largest possible median = 1/5, which is not > 1/5..
answer will always be NO
Sufficient..
ans B

I have a question,in all the answers mentioned above, a number for example (1/2) is taken more than once.
My question is as per my knowledge a Set should have distinct number, there should not be any repetition.
Therefore I cannot take a number twice in a set.
Please correct me if I am wrong.

Bunuel

Yes, a set is a collection of distinct objects. So, the question should use "list" or "data set" instead. This question is similar to the following GMAT Club question: https://gmatclub.com/forum/d01-183484.html, and GMAT Club Test question mentions "list".

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.