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A certain mail-order company sells T-shirts, buttons, stickers, and cu
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Updated on: 14 Jan 2024, 12:03
Updated on: 14 Jan 2024, 12:03
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A certain mail-order company sells T-shirts, buttons, stickers, and current and past issues of its magazine. Each order placed to the company consists of one or more items and, for each order, the company packages all of the items in the order together. Any employee who packages an order, packages the entirety of that order. Among the orders placed to the company today:
Statement: For the orders placed to the company today, if one employee were to package all of the orders that include a ___1___, that employee would also package all of the orders that include a ___2___.
Select for 1 and for 2 the two different options that complete the statement so that it is most accurate based on the information provided. Make only two selections, one in each column.
- None includes both a T-shirt and a magazine.
- All of those that include a past issue of the magazine also include the current issue of the magazine.
- Most of those that include a magazine also include a sticker.
- None of those that include a button also include a sticker.
Statement: For the orders placed to the company today, if one employee were to package all of the orders that include a ___1___, that employee would also package all of the orders that include a ___2___.
Select for 1 and for 2 the two different options that complete the statement so that it is most accurate based on the information provided. Make only two selections, one in each column.
| 1 | 2 | |
| Button | ||
| Current issue of the magazine | ||
| Past issue of the magazine | ||
| Sticker | ||
| T-shirt |
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Official Answer
1: Current issue of the magazine
2: Past issue of the magazine
Originally posted by AvikSaha on 12 Jan 2024, 04:35.
Last edited by Sajjad1994 on 14 Jan 2024, 12:03, edited 4 times in total.
Last edited by Sajjad1994 on 14 Jan 2024, 12:03, edited 4 times in total.
Moved and Formatted.
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Joined: 16 Jul 2014
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Concentration: Strategy
Schools: IIMA (A)
GMAT 1: 760 Q50 V41
Re: A certain mail-order company sells T-shirts, buttons, stickers, and cu
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07 Feb 2024, 00:41
07 Feb 2024, 00:41
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Expert Reply
AvikSaha wrote:
Hi MartyMurray,
Can you please let me know why 1 is current issue of magazine & 2 is past issue of magazine?
And it is not the other way that is 1 as past issue of magazine & 2 as current issue of magazine?
Thanks in advance!
Can you please let me know why 1 is current issue of magazine & 2 is past issue of magazine?
And it is not the other way that is 1 as past issue of magazine & 2 as current issue of magazine?
Thanks in advance!
Let me try to address it.
1. We're told:
Quote:
All of those (the orders) that include a past issue of the magazine also include the current issue of the magazine.
So, can an order contain
a. only a past issue of the magazine?
No. Because all orders that include a past issue also include the current issue.
b. only a current issue of the magazine?
Yes. All orders that include a past issue will also include the current issue. But, an order with the current issue could be made without including a past issue.
Now, on to the statement.
Quote:
Statement: For the orders placed to the company today, if one employee were to package all of the orders that include a ___1___, that employee would also package all of the orders that include a ___2___.
First off, the statement is not:
If an order includes ___1____, the order would also include ___2___.
The statement is not about an individual order. We need to figure out what else we can state about an employee who has packaged all of the orders that include a particular item (1).
Are the following orders valid? (For simplicity, I am going to ignore all the other items and focus only on magazines.)
Order 1: A past and the current issue of the magazine
Order 2: Only the current issue of the magazine
Order 3: Only a past issue of the magazine
Oder 1 is valid. An order can include both kinds of issues.
Order 2 is valid. An order can include only the current issue.
Order 3 is not valid. All orders that include a past issue will also include the current issue.
Now, say an employee were to package all orders that include a past issue of the magazine.
Can we say that the employee would also package all orders that include the current issue of the magazine?
No.
E.g. an employee may package order 1 (past and current issues both). But a different employee may package order 2 (only current issue).
But, say an employee were to package all orders that include a current issue of the magazine.
Can we say that the employee would also package all orders that include a past issue of the magazine?
Yes.
The orders that include a current issue of the magazine would be a superset of the orders that include a past issue of the magazine.
So, if an employee were to package all the current issue orders, the employee would also certainly package all the past issue orders.
Put another way, if an employee were to package the superset, the employee would also certainly have packaged the subset.
Answer:
1: Current issue of the magazine
2: Past issue of the magazine
General Discussion
Re: A certain mail-order company sells T-shirts, buttons, stickers, and cu
[#permalink]
12 Jan 2024, 09:20
12 Jan 2024, 09:20
4
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Expert Reply
A certain mail-order company sells T-shirts, buttons, stickers, and current and past issues of its magazine. Each order placed to the company consists of one or more items and, for each order, the company packages all of the items in the order together. Any employee who packages an order, packages the entirety of that order. Among the orders placed to the company today:
None includes both a T-shirt and a magazine.
All of those that include a past issue of the magazine also include the current issue of the magazine.
Most of those that include a magazine also include a sticker.
None of those that include a button also include a sticker.
There are FIVE items and following conditions/restrictions are given
a) T-shirt and a magazine are not together.
It could give us a statement: If MAGAZINE is a part of the package, then T-shirt will not be a part
b) If a past issue of magazine, then current issue also. ( It tells us: If past issue, then current issue, or the statement could also be If current issue is not there, then past issue will also be not there)
c) Most with magazine also have a sticker.( Nothing concrete)
d) None of those that include a button also include a sticker. ( If button, then sticker is not there)
Statement: For the orders placed to the company today, if one employee were to package all of the orders that include a ___1___, that employee would also package all of the orders that include a ___2___.
It can be rewritten as: If 2, then 1.
This is nothing but rewording of point b above...
If order includes past issue, then it will also include current issue. Vice versa need not be true. If A then B not necessarily means If B then A. The other inference is: If not B, then not A.
1. Current issue
2. Past issue
Edit:-
A video solution with concepts on If x, then y.'
None includes both a T-shirt and a magazine.
All of those that include a past issue of the magazine also include the current issue of the magazine.
Most of those that include a magazine also include a sticker.
None of those that include a button also include a sticker.
There are FIVE items and following conditions/restrictions are given
a) T-shirt and a magazine are not together.
It could give us a statement: If MAGAZINE is a part of the package, then T-shirt will not be a part
b) If a past issue of magazine, then current issue also. ( It tells us: If past issue, then current issue, or the statement could also be If current issue is not there, then past issue will also be not there)
c) Most with magazine also have a sticker.( Nothing concrete)
d) None of those that include a button also include a sticker. ( If button, then sticker is not there)
Statement: For the orders placed to the company today, if one employee were to package all of the orders that include a ___1___, that employee would also package all of the orders that include a ___2___.
It can be rewritten as: If 2, then 1.
This is nothing but rewording of point b above...
If order includes past issue, then it will also include current issue. Vice versa need not be true. If A then B not necessarily means If B then A. The other inference is: If not B, then not A.
1. Current issue
2. Past issue
Edit:-
A video solution with concepts on If x, then y.'
