Last visit was: 25 Apr 2026, 08:53 It is currently 25 Apr 2026, 08:53
Home
Messages
Tests
Schools
Events
Close
GMAT 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 GMAT 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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,827
Own Kudos:
811,213
 [6]
Given Kudos: 105,878
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,827
Kudos: 811,213
 [6]
The average (arithmetic mean) weight of 5 crates is 250 pounds. The 2 05 Jun 2018, 02:24
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

73% (02:14) correct 27% (02:22) wrong based on 187 sessions

History

Date
Time
Result
Not Attempted Yet
The average (arithmetic mean) weight of 5 crates is 250 pounds. The 2 lightest crates weigh between 200 and 205 pounds each, inclusive, and the 2 heaviest crates weigh between 300 and 310 pounds each, inclusive. If the weight of the fifth crate is x pounds, then x is expressed by which of the following?

A) 220 ≤ x ≤ 250

B) 230 ≤ x ≤ 260

C) 240 ≤ x ≤ 270

D) 250 ≤ x ≤ 270

E) 260 ≤ x ≤ 280
ShowHide Answer
Official Answer
A
User avatar
Tulkin987
User avatar
Joined: 28 Nov 2017
Last visit: 08 Sep 2020
Posts: 108
Own Kudos:
172
 [1]
Given Kudos: 135
Location: Uzbekistan
Posts: 108
Kudos: 172
 [1]
The average (arithmetic mean) weight of 5 crates is 250 pounds. The 2 05 Jun 2018, 03:14
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The average (arithmetic mean) weight of 5 crates is 250 pounds. The 2 lightest crates weigh between 200 and 205 pounds each, inclusive, and the 2 heaviest crates weigh between 300 and 310 pounds each, inclusive. If the weight of the fifth crate is x pounds, then x is expressed by which of the following?

A) 220 ≤ x ≤ 250

B) 230 ≤ x ≤ 260

C) 240 ≤ x ≤ 270

D) 250 ≤ x ≤ 270

E) 260 ≤ x ≤ 280
Show more

Minimum \(X=5*250-2*205-2*310=220\)

Maximum \(X=5*250-2*200-2*300=250\)

Answer: A
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,657
Own Kudos:
20,882
Given Kudos: 165
Expert
Expert reply
Posts: 3,657
Kudos: 20,882
The average (arithmetic mean) weight of 5 crates is 250 pounds. The 2 05 Jun 2018, 05:13
Kudos
Add Kudos
Bookmarks
Bookmark this Post

Solution



Given:
    • Average weight of 5 crates in 250 pounds
    • Lightest 2 crates weigh between 200 and 205 pounds each, inclusive
    • Heaviest 2 crates weigh between 300 and 310 pounds each, inclusive
    • Weight of the fifth crate is x pound

To find:
    • From the given options, the range that best describes x

Approach and Working:
If we want to find the minimum value of x, we need to maximise the weight of other crates
    • Minimum value of x = (250 * 5) – [(205 * 2) + (310 * 2)] = 1250 – (410 + 620) = 1250 – 1030 = 220

Similarly, if we want to find the maximum value of x, we need to minimise the weight of other crates
    • Maximum value of x = (250 * 5) – [(200 * 2) + (300 * 2)] = 1250 – (400 + 600) = 1250 – 1000 = 250

• Therefore, we can say: 220 ≤ x ≤ 250

Hence, the correct answer is option A.

Answer: A
User avatar
fskilnik
User avatar
Joined: 12 Oct 2010
Last visit: 03 Jan 2025
Posts: 883
Own Kudos:
1,887
Given Kudos: 57
Status:GMATH founder
Expert
Expert reply
Posts: 883
Kudos: 1,887
The average (arithmetic mean) weight of 5 crates is 250 pounds. The 2 20 Sep 2018, 18:58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The average (arithmetic mean) weight of 5 crates is 250 pounds. The 2 lightest crates weigh between 200 and 205 pounds each, inclusive, and the 2 heaviest crates weigh between 300 and 310 pounds each, inclusive. If the weight of the fifth crate is x pounds, then x is expressed by which of the following?

A) 220 ≤ x ≤ 250

B) 230 ≤ x ≤ 260

C) 240 ≤ x ≤ 270

D) 250 ≤ x ≤ 270

E) 260 ≤ x ≤ 280
Show more
\(?\,\,\,:\,\,\,x \in \left[ {{x_{\min }}\,\,,\,\,\,{x_{\max }}} \right]\)


By the homogeneity nature of the average, we know that:


\(\sum\nolimits_5 = \,\,\,5 \cdot 250 = 1250\)

\(\sum\nolimits_{2\,{\text{light}}}^{\min } = \,\,\,2 \cdot 200 = 400\,\,\,\,\,\,;\,\,\,\,\,\,\sum\nolimits_{2\,{\text{light}}}^{\max } = \,\,\,2 \cdot 205 = 410\)

\(\sum\nolimits_{2\,{\text{heavy}}}^{\min } = \,\,\,2 \cdot 300 = 600\,\,\,\,\,\,;\,\,\,\,\,\,\sum\nolimits_{2\,{\text{heavy}}}^{\max } = \,\,\,2 \cdot 310 = 620\)


\({x_{\min }} = \sum\nolimits_5 { - \left( {\,\sum\nolimits_{2\,{\text{light}}}^{\max } { + \sum\nolimits_{2\,{\text{light}}}^{\max } {} } } \right)} = 1250 - \left( {410 + 620} \right) = 220\)

\({x_{\max }} = \sum\nolimits_5 { - \left( {\,\sum\nolimits_{2\,{\text{heavy}}}^{\min } { + \sum\nolimits_{2\,{\text{heavy}}}^{\min } {} } } \right)} = 1250 - \left( {400 + 600} \right) = 250\)


\(?\,\,\,:\,\,\,x \in \left[ {220,250} \right]\,\,\,\,\, \Leftrightarrow \,\,\,\,\,220 \leqslant x \leqslant 250\)


This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,985
Own Kudos:
1,117
Posts: 38,985
Kudos: 1,117
The average (arithmetic mean) weight of 5 crates is 250 pounds. The 2 17 Jan 2026, 02:48
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109827 posts
Krunaal
Tuck School Moderator
852 posts