I received a private message about this thread.
Lots of you guys are doing WAY too much work here.
You should not have to do any calculations in this problem. None.
Remember, it's data sufficiency! If you
know there's a single answer, then you're done. Trying to
find that answer is a complete waste of time, unless you are uncertain about whether there's more than one possibility.
pradeepkaushal9518 wrote:set A consists of all positive integers less than 100.
What you should get out of this:
This is a definite set. Nothing is unknown. It's a fixed set of numbers.
Therefore, everything about it is constant.
set B consists of 10 integers the first four of which are 2,3,5 and 7
As another instructor has noted above, "the first four" is meaningless here. So let's assume this means "the four
smallest numbers".
In this case, we have 2, 3, 5, 7, __, __, __, __, __, __, and we have no clue what's in the blanks.
.what is the difference between the median of set A and the range of set B ?
The median of set A is a constant. What is it? We don't care. It's a constant.
Assuming the interpretation above, the minimum value in set B is also a constant (it's 2).
So, the issue here boils down to,
What's the maximum value in set B?
That's it.
1.all numbers in set B are prime numbers.
Doesn't tell us the maximum.
2.each element in set B is divisible by exactly two factors.
Same as statement 1. Doesn't tell us the maximum.
Don't do more work than you have to. (If you actually calculated the median of set A -- or if you plugged in
any specific numbers, at all, whatsoever -- I'm looking at you.)