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Four workers from an international charity were selling shirts at a local event yesterday. Did one of the workers sell at least three shirts yesterday at the event?

(1) Together they sold 8 shirts yesterday at the event.

(2) No two workers sold the same number of shirts.
[Reveal] Spoiler: OA

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Four workers from an international charity were selling shirts at a local event yesterday. Did one of the workers sell at least three shirts yesterday at the event?

(1) Together they sold 8 shirts yesterday at the event. If the number of shirts sold by four workers are (2, 2, 2, 2), then none of them sold 3 or more shirts but if the number of shirts sold by four workers are (3, 2, 2, 1), then one of the workers sold at least 3 shirts. Not sufficient.

(2) No two workers sold the same number of shirts. Could we have a case where all workers sold less than 3 shirts and no two workers sold the same number of shirts? No. If one of them sold 0, the second one sold 1, third one sold 2, then the fourth one must have sold 3 or more, to have different number of shirts sold than the others. Sufficient.

Answer: B.
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New post 11 Feb 2015, 01:45
Thanks for the explanation Bunuel. I have a question on statement 2. It says...were selling....it doesn't say 'they sold'. Can we assume that each have sold at least one when it is not explicitly stated....or this is too much reading into the semantics?!

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New post 11 Feb 2015, 03:00
falewman wrote:
Thanks for the explanation Bunuel. I have a question on statement 2. It says...were selling....it doesn't say 'they sold'. Can we assume that each have sold at least one when it is not explicitly stated....or this is too much reading into the semantics?!



No, we cannot assume that each of them sold at least 1.
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New post 11 Feb 2015, 04:36
How about the case where two of them didn't sell a single shirt and the other two sold 1 and 2 shirts respectively. Isn't that a possible case that will render statement 2 insufficient, or am I reading into it far too much?

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New post 11 Feb 2015, 04:50
falewman wrote:
How about the case where two of them didn't sell a single shirt and the other two sold 1 and 2 shirts respectively. Isn't that a possible case that will render statement 2 insufficient, or am I reading into it far too much?


(2) says that no two workers sold the same number of shirts, so the case in which two of them sell 0 shirts each is not possible.
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New post 11 Feb 2015, 04:56
Thanks Bunuel. I get it now.

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New post 11 Feb 2015, 07:20
Hello Bunuel!
I got a small doubt.. its said did any of the person sold at-least three t shirts!!! thats fine.. as its a question...
now unless we take into consideration.. which gives the total quantity sold.. that is 8 shirts.. then with the help of option b how can we came to conclusion that at-least one of the salesmen sold at-least three as we dont know how many shirts were soled over all?
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Celestial09 wrote:
Hello Bunuel!
I got a small doubt.. its said did any of the person sold at-least three t shirts!!! thats fine.. as its a question...
now unless we take into consideration.. which gives the total quantity sold.. that is 8 shirts.. then with the help of option b how can we came to conclusion that at-least one of the salesmen sold at-least three as we dont know how many shirts were soled over all?
Thanks


For the second statement (no two workers sold the same number of shirts) it's simply impossible EACH of the workers to sell less than 3 shirts. Because if one of them sold 0, the second one sold 1, third one sold 2, then the fourth one must have sold 3 or more, to have different number of shirts sold than the others.
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New post 11 Feb 2015, 14:09
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Hi Celestial09,

In many DS questions, you might find it easier to get the question correct if you change the way that you "see" the question. Instead of saying/thinking "we don't know _____, so the Fact must be insufficient", try thinking this... "we don't have much information, but what COULD happen if I include the information in the Fact." In this way, you'll be seeking out the possibilities, which is a big part of what DS questions are testing you on.

In this prompt, we're told that there are 4 workers. In Fact 2, we're told that "No two workers sold the same number of shirts." What COULD this mean.....?

At the very least, since the 4 works sold DIFFERENT numbers of shirts, we would have....
0, 1, 2 and 3 shirts sold.

This means that at least one of them sold 3 (or more) shirts and the total sold is at least 6.

There are other possibilities, of course, but all of them are "bigger" than this one...

For example,
0, 1, 2, 5
1, 2, 3, 4
100, 101, 201, 598
Etc.

DS questions test many different skills, so be prepared to do WORK on each DS question. The good news is that the work is usually pretty easy; the bad news is that you MUST do the work if you want to be sure that you're choosing the correct answer.

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New post 24 Mar 2017, 12:32
this is a pure logic question. no need to put down equations.
answer is B. it is obvious if you have the trick. Otherwise, you might just go for wrong anwser C.
Veritas prep: Nice one.
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Four workers from an international charity were selling shirts at a lo [#permalink]

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New post 01 Aug 2017, 18:27
guialain wrote:
this is a pure logic question. no need to put down equations.
answer is B. it is obvious if you have the trick. Otherwise, you might just go for wrong anwser C.
Veritas prep: Nice one.


To me statement 2 means: No 2 workers sold the same number of shirts (if they didn't want you to sum, why not just say no worker sold the same number of shirts). I interpreted that to mean that no 2 workers sold the same number of shirts.

So worker A&B sold a different number of shirts than C&D. If that were the case A&B could sell 0 shirts and C&D could sell 2 shirts together.

The question is actually quite easy if Veritas could write properly.

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