veritas ds 11

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by theCodeToGMAT » Sun Sep 22, 2013 8:29 pm
divineacclivity wrote: Statement 2: "Each element in Set B is divisible by exactly two factors."
Does the above statement refer to prime numbers i.e. divisible by 1 & the (prime) number itself? So, could we say that statement 2 is talking about all prime numbers except 1?
thanks in advance.
Answer {E}

Statement 2: each element in set B is divisible by exactly two factors.

Yes, statement 2 actually means PRIME Numbers...
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by lunarpower » Mon Sep 23, 2013 3:30 am
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.)
Ron has been teaching various standardized tests for 20 years.

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by wakk0 » Tue Sep 24, 2013 9:44 pm
But what if I calculated the median *very* quickly? I suppose I still have to bow my head in shame? :D
lunarpower wrote: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.)

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by lunarpower » Wed Sep 25, 2013 12:34 am
wakk0 wrote:But what if I calculated the median *very* quickly? I suppose I still have to bow my head in shame? :D
You may be wasting less time... but you're still wasting time.

What if it's only three seconds?
hmm... 3 seconds x 37 math problems = about 2 minutes. If you waste only three seconds on each problem, that's already 1 less problem you have the time to solve.

More importantly -- This is only your second post on the entire forum. If you took the trouble to come here and post on this thread, just to say this, then it seems your main point is "I'm proud of my mental math".

Fine, you can be proud of your mental math. But, which is better, proud or efficient?
Yeah.
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by wakk0 » Wed Sep 25, 2013 5:00 pm
Sorry, that was meant to be a bit of self-deprecating humor because I walked right into the trap you mentioned. I felt like you were talking *directly* to me when you said "... I'm looking at you." Really, I apologize if that came off as me being cocky - it wasn't meant to be taken that way.

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by vinni.k » Sun Jun 25, 2017 6:18 am
Hi,

Eventhough i got this question easily by focusing on Set B, I still have doubt on set A.
The question stem says that "Set A consists of all positive integers < 100 "

My doubt:- Are these all positive integers different ? (1,2,3,,,,98,99) or I can repeat some numbers (1,1,1,1,5,5..90)---> All 99 numbers ?

What are the right numbers ? But, if i can use both the sets, then the median will be also different.

Please enlighten me.

Thanks

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by DavidG@VeritasPrep » Sun Jun 25, 2017 8:31 am
vinni.k wrote:Hi,

Eventhough i got this question easily by focusing on Set B, I still have doubt on set A.
The question stem says that "Set A consists of all positive integers < 100 "

My doubt:- Are these all positive integers different ? (1,2,3,,,,98,99) or I can repeat some numbers (1,1,1,1,5,5..90)---> All 99 numbers ?

What are the right numbers ? But, if i can use both the sets, then the median will be also different.

Please enlighten me.

Thanks
Well, the OA would be the same with either interpretation, but it seems to be that set A consists of all the integers from 1 to 99 inclusive, and that none are repeated.
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by vinni.k » Mon Jun 26, 2017 10:25 am
Thank you David :D