Last visit was: 23 Aug 2025, 14:59 It is currently 23 Aug 2025, 14:59

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 33128
Own Kudos [?]: 39469 [5]
Given Kudos: 26486
Send PM
Manager
Manager
Joined: 11 Nov 2023
Posts: 228
Own Kudos [?]: 279 [1]
Given Kudos: 78
WE:Business Development (Advertising and PR)
Send PM
avatar
Intern
Intern
Joined: 19 Aug 2025
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 33128
Own Kudos [?]: 39469 [0]
Given Kudos: 26486
Send PM
On Monday X people went to the post office. Of them, 7 people mailed l [#permalink]
Expert Reply
Let's analyze the problem:
- Total people: $X$
- Mailed letters: 7 people
- Bought stamps: 9 people
- Mailed packages but didn't buy stamps and didn't mail letters: 10 people

We want to compare:
Quantity A: Number of people who both bought stamps and mailed letters
Quantity B: Number of people who mailed packages but didn't buy stamps and didn't mail letters (given directly as 10)

Since 10 people mailed packages but did not mail letters or buy stamps, they belong exclusively to that group.

For Quantity A (people who bought stamps and mailed letters), we know the total who mailed letters is 7 , and the total who bought stamps is 9.

The number of people who both bought stamps and mailed letters (the intersection) could be found if we had the total number of people $X$, or other overlaps like those who mailed packages but bought stamps or mailed letters.

Without additional information, the smallest possible intersection is:

$$
\(\max (0,7+9-X)\) .
$$


The largest possible intersection is:

$$
\(\min (7,9)=7\),
$$

since intersection can't exceed the smaller group.
So depending on $X$, the number of people who both bought stamps and mailed letters is at most 7.

Given Quantity $B=10$, the exclusive group mailing packages with no stamps or letters is 10 , which is more than the maximum possible intersection.

Therefore:
- Quantity A (intersection of stamps and letters) \( \leq 7\)
- Quantity B $=10$

Hence, Quantity B is greater.
Final comparison: Quantity B > Quantity A.
Prep Club for GRE Bot
On Monday X people went to the post office. Of them, 7 people mailed l [#permalink]
Moderators:
GRE Instructor
123 posts
GRE Forum Moderator
37 posts
Moderator
1141 posts
GRE Instructor
234 posts
Moderator
35 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne