Last visit was: 22 Apr 2026, 17:35 It is currently 22 Apr 2026, 17:35
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
   1  ...  460   461   462   463   464  ...  676   
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,754
Own Kudos:
810,669
Given Kudos: 105,823
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: 109,754
Kudos: 810,669
Practice Questions Chat 18 May 2025, 01:34
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If x + y = 20 and 2x + 3y < 54, which of the following must be correct

I. 3x > 17

II. 2y < 30

III. y - x < 8

A. i only

B. II only

C. I and II

D. II and III

E. I, II and III
Show more

Substituting x = 20 - y into 2x + 3y < 54, we get:

40 - 2y + 3y < 54
y < 14

Substituting y = 20 - x into y < 14, we get:
20 - x < 14
x > 6

Let's check the options:

I. 3x > 17 gives x > 5.6... Since we know that x > 6, then this option is correct (any x more than 6 will for sure be more than 5.6).

II. 2y < 30 gives y < 15. Since we know that y < 14, then this option is correct (any y less than 14 will for sure be less than 15).

III. y - x < 8. Subtract x > 6 from y < 14 to get y - x < 8. So, this option is correct.

Answer: E.

This question belongs to a type of question that tends to be very confusing for many. Therefore, I recommend practicing similar questions from the following collection: Trickiest Inequality Questions Type: Confusing Ranges.

Hope it's clear.
User avatar
WA@thisisakr
User avatar
WhatsApp Bridge
Joined: 28 Jan 2025
Last visit: 24 Oct 2025
Posts: 35,294
Own Kudos:
1,783
Posts: 35,294
Kudos: 1,783
Practice Questions Chat 18 May 2025, 01:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This post came through our private GMAT Club WhatsApp Group.
Join the WhatsApp Community or Log in to view the full message.
User avatar
WA@yvj760
User avatar
WhatsApp Bridge
Joined: 28 Jan 2025
Last visit: 24 Oct 2025
Posts: 35,294
Own Kudos:
1,783
Posts: 35,294
Kudos: 1,783
Practice Questions Chat 18 May 2025, 01:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This post came through our private GMAT Club WhatsApp Group.
Join the WhatsApp Community or Log in to view the full message.
User avatar
WA@thisisakr
User avatar
WhatsApp Bridge
Joined: 28 Jan 2025
Last visit: 24 Oct 2025
Posts: 35,294
Own Kudos:
1,783
Posts: 35,294
Kudos: 1,783
Practice Questions Chat 18 May 2025, 01:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This post came through our private GMAT Club WhatsApp Group.
Join the WhatsApp Community or Log in to view the full message.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,754
Own Kudos:
810,669
Given Kudos: 105,823
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: 109,754
Kudos: 810,669
Practice Questions Chat 18 May 2025, 01:41
Kudos
Add Kudos
Bookmarks
Bookmark this Post
WA@yvj760
Quote:

*Bunuel writes:*
> If x + y = 20 and 2x + 3y < 54, which of the following must be correct
> I. 3x > 17
> II. 2y < 30
> III. y - x < 8
> A. i only
> B. II only
> C. I and II
> D. II and III
> E. I, II and III

Substituting x = 20 - y into 2x + 3y < 54, we get:

40 - 2y + 3y < 54
y < 14

Substituting y = 20 - x into y < 14, we get:
20 - x < 14
x > 6

Let's check the options:

I. 3x > 17 gives x > 5.6... Since we know that x > 6, then this option is correct (any x more than 6 will for sure be more than 5.6).

II. 2y < 30 gives y < 15. Since we know that y < 14, then this option is correct (any y less than 14 will for sure be less than 15).

III. y - x < 8. Subtract x > 6 from y < 14 to get y - x < 8. So, this option is correct.

Answer: E.

This question belongs to a type of question that tends to be very confusing for many. Therefore, I recommend practicing similar questions from the following collection: https://gmatclub.com/forum/trickiest-in ... 55151.html.

Hope it's clear.
But why don't we consider 5.7 or 5.8 which wouldn't be a possible value of x yet greater than 5.6
Show more

x cannot be 5.7 or 5.8 because we already established that x > 6. So it's the other way around: we are given that x > 6 and asked to assess which of the options must be correct. Since x > 6, then x > 5.6 is definitely true. Just like, for example, x > -1000 would also be correct because we know x is greater than 6.

To understand this concept better, I suggest spending some time exploring the questions in the link I shared above. As I mentioned, many people find this type of question confusing, so more practice should help.
User avatar
WA@thisisakr
User avatar
WhatsApp Bridge
Joined: 28 Jan 2025
Last visit: 24 Oct 2025
Posts: 35,294
Own Kudos:
1,783
Posts: 35,294
Kudos: 1,783
Practice Questions Chat 18 May 2025, 03:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This post came through our private GMAT Club WhatsApp Group.
Join the WhatsApp Community or Log in to view the full message.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,754
Own Kudos:
810,669
Given Kudos: 105,823
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: 109,754
Kudos: 810,669
Practice Questions Chat 18 May 2025, 03:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
WA@urk544
Quote:

*Bunuel writes:*
> *Bunuel writes:*
> > If x + y = 20 and 2x + 3y < 54, which of the following must be correct
> > I. 3x > 17
> > II. 2y < 30
> > III. y - x < 8
> > A. i only
> > B. II only
> > C. I and II
> > D. II and III
> > E. I, II and III
> Substituting x = 20 - y into 2x + 3y < 54, we get:
> 40 - 2y + 3y < 54
> y < 14
> Substituting y = 20 - x into y < 14, we get:
> 20 - x < 14
> x > 6
> Let's check the options:
> I. 3x > 17 gives x > 5.6... Since we know that x > 6, then this option is correct (any x more than 6 will for sure b
> But why don't we consider 5.7 or 5.8 which wouldn't be a possible value of x yet greater than 5.6

x cannot be 5.7 or 5.8 because we already established that x > 6. So it's the other way around: we are given that x > 6 and asked to assess which of the options must be correct. Since x > 6, then x > 5.6 is definitely true. Just like, for example, x > -1000 would also be correct because we know x is greater than 6.

To understand this concept better, I suggest spending some time exploring the questions in the link I shared above. As I mentioned, many people find this type of question confusing, so more practice should help.
Okay one last doubt if the option would have been X>8

Would it still be a correct answer
For a must be true question
Show more

No, x > 8 would not be correct. We know that x > 6, so x could be any number greater than 6, including values between 6 and 8 like 7.5. So x > 8 is not guaranteed and therefore not something that must be true.
User avatar
WA@thisisakr
User avatar
WhatsApp Bridge
Joined: 28 Jan 2025
Last visit: 24 Oct 2025
Posts: 35,294
Own Kudos:
1,783
Posts: 35,294
Kudos: 1,783
Practice Questions Chat 18 May 2025, 04:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This post came through our private GMAT Club WhatsApp Group.
Join the WhatsApp Community or Log in to view the full message.
avatar
jeffn
avatar
Joined: 19 May 2015
Last visit: 22 Apr 2026
Posts: 2,009
Own Kudos:
1,580
Given Kudos: 272
Location: United States
Products:
GMAT Club Tests Forum Quiz
Posts: 2,009
Kudos: 1,580
Practice Questions Chat 18 May 2025, 08:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
May 18th Quant Question of the Day





Answer and Explanation | Subscribe via E-mail, Forum, Instagram, or YouTube
avatar
jeffn
avatar
Joined: 19 May 2015
Last visit: 22 Apr 2026
Posts: 2,009
Own Kudos:
1,580
Given Kudos: 272
Location: United States
Products:
GMAT Club Tests Forum Quiz
Posts: 2,009
Kudos: 1,580
Practice Questions Chat 18 May 2025, 08:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
May 18th Verbal Question of the Day





Answer and Explanation | Subscribe via E-mail, Forum, Instagram, or YouTube
User avatar
WA@Mbanerjee
User avatar
WhatsApp Bridge
Joined: 28 Jan 2025
Last visit: 24 Oct 2025
Posts: 35,294
Own Kudos:
1,783
Posts: 35,294
Kudos: 1,783
Practice Questions Chat 18 May 2025, 13:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This post came through our private GMAT Club WhatsApp Group.
Join the WhatsApp Community or Log in to view the full message.
User avatar
WA@uej1291
User avatar
WhatsApp Bridge
Joined: 28 Jan 2025
Last visit: 24 Oct 2025
Posts: 35,294
Own Kudos:
1,783
Posts: 35,294
Kudos: 1,783
Practice Questions Chat 18 May 2025, 13:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This post came through our private GMAT Club WhatsApp Group.
Join the WhatsApp Community or Log in to view the full message.
User avatar
WA@Mbanerjee
User avatar
WhatsApp Bridge
Joined: 28 Jan 2025
Last visit: 24 Oct 2025
Posts: 35,294
Own Kudos:
1,783
Posts: 35,294
Kudos: 1,783
Practice Questions Chat 18 May 2025, 13:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This post came through our private GMAT Club WhatsApp Group.
Join the WhatsApp Community or Log in to view the full message.
User avatar
priyam099
User avatar
Joined: 16 Apr 2025
Last visit: 28 Sep 2025
Posts: 8
Own Kudos:
1
Given Kudos: 2
Posts: 8
Kudos: 1
Practice Questions Chat 18 May 2025, 13:31
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Should be 241 i guess since did not visit only C means total minus people who only visited C and people who only visited C would be total of C minus A intersection C minus B intersection C plus A intersection B intersection C
User avatar
rajdeep212003
User avatar
Joined: 11 Dec 2024
Last visit: 22 Apr 2026
Posts: 39
Own Kudos:
4
Given Kudos: 12
Location: India
Schools: ISB '27 Kellogg INSEAD Jan '26
Schools: ISB '27 Kellogg INSEAD Jan '26
Posts: 39
Kudos: 4
Practice Questions Chat 18 May 2025, 13:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Quote:

You anyone help me solve this: Out of 380 people,211 visited A,155 visited B, 260 visited C and 52 visited all the three,79 visited A and C ,94 visited B and C .Find the number of people who did not visited only C?​
Show more
It should be 35
User avatar
RM04
User avatar
Joined: 03 Dec 2024
Last visit: 20 Apr 2026
Posts: 8
Own Kudos:
1
Given Kudos: 3
Posts: 8
Kudos: 1
Practice Questions Chat 18 May 2025, 13:34
Kudos
Add Kudos
Bookmarks
Bookmark this Post
in-general-a-professional-athlete-is-offered-a-million-dollar-contrac-312843.html

There is this question, I am really struggling to understand the conclusion of the statement. If anyone can help to explain?
User avatar
WA@Mbanerjee
User avatar
WhatsApp Bridge
Joined: 28 Jan 2025
Last visit: 24 Oct 2025
Posts: 35,294
Own Kudos:
1,783
Posts: 35,294
Kudos: 1,783
Practice Questions Chat 18 May 2025, 13:34
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This post came through our private GMAT Club WhatsApp Group.
Join the WhatsApp Community or Log in to view the full message.
User avatar
bb
User avatar
Founder
Joined: 04 Dec 2002
Last visit: 22 Apr 2026
Posts: 43,152
Own Kudos:
83,705
Given Kudos: 24,672
Location: United States
GMAT 1: 750 Q49 V42
GPA: 3
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
GMAT 1: 750 Q49 V42
Posts: 43,152
Kudos: 83,705
Practice Questions Chat 18 May 2025, 13:34
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I think the trick here is in the very final part of the question: people who not ONLY visited C.

So the answer should be Total - Visited Only C.
User avatar
rajdeep212003
User avatar
Joined: 11 Dec 2024
Last visit: 22 Apr 2026
Posts: 39
Own Kudos:
4
Given Kudos: 12
Location: India
Schools: ISB '27 Kellogg INSEAD Jan '26
Schools: ISB '27 Kellogg INSEAD Jan '26
Posts: 39
Kudos: 4
Practice Questions Chat 18 May 2025, 13:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Quote:

You anyone help me solve this: Out of 380 people,211 visited A,155 visited B, 260 visited C and 52 visited all the three,79 visited A and C ,94 visited B and C .Find the number of people who did not visited only C?​
Show more
345
User avatar
bb
User avatar
Founder
Joined: 04 Dec 2002
Last visit: 22 Apr 2026
Posts: 43,152
Own Kudos:
83,705
Given Kudos: 24,672
Location: United States
GMAT 1: 750 Q49 V42
GPA: 3
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
GMAT 1: 750 Q49 V42
Posts: 43,152
Kudos: 83,705
Practice Questions Chat 18 May 2025, 13:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I would say this is an awkwardly worded question that you are not likely to encounter on the GMAT (groups more than 2 are rare on official GMAT Questions)
   1  ...  460   461   462   463   464  ...  676   
Moderators:
gchandana
192 posts
MBAACCOUNT2025
General GMAT Forum Moderator
473 posts
GMATFE2025
196 posts