Last visit was: 14 Dec 2024, 19:51 It is currently 14 Dec 2024, 19:51
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
GMATBusters
User avatar
GMAT Tutor
Joined: 27 Oct 2017
Last visit: 10 Dec 2024
Posts: 1,930
Own Kudos:
6,047
 []
Given Kudos: 240
WE:General Management (Education)
Expert reply
Posts: 1,930
Kudos: 6,047
 []
11
Kudos
Add Kudos
17
Bookmarks
Bookmark this Post
User avatar
GMATBusters
User avatar
GMAT Tutor
Joined: 27 Oct 2017
Last visit: 10 Dec 2024
Posts: 1,930
Own Kudos:
6,047
 []
Given Kudos: 240
WE:General Management (Education)
Expert reply
Posts: 1,930
Kudos: 6,047
 []
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
GMATBusters
User avatar
GMAT Tutor
Joined: 27 Oct 2017
Last visit: 10 Dec 2024
Posts: 1,930
Own Kudos:
6,047
 []
Given Kudos: 240
WE:General Management (Education)
Expert reply
Posts: 1,930
Kudos: 6,047
 []
2
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
User avatar
itisSheldon
Joined: 03 Mar 2018
Last visit: 26 Jan 2022
Posts: 163
Own Kudos:
651
 []
Given Kudos: 101
Posts: 163
Kudos: 651
 []
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
gmatbusters
You are doing great man. These nuances will surely help you to avoid traps and to improve the score above 700. Maybe these kind of things make this forum unique from other GMAT forums. If I come across such concepts, then I will keep posting on this thread.
+1 to you
User avatar
GMATBusters
User avatar
GMAT Tutor
Joined: 27 Oct 2017
Last visit: 10 Dec 2024
Posts: 1,930
Own Kudos:
6,047
 []
Given Kudos: 240
WE:General Management (Education)
Expert reply
Posts: 1,930
Kudos: 6,047
 []
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Absolute Value function:

Concept 1)
|x-a|=b, it means distance of x from a = b
Attachment:
download.png
download.png [ 7.1 KiB | Viewed 5490 times ]

Ques: Which equation gives the values of all numbers seven units away from 43?

A. |x + 7| = 43
B. |x – 7| = 43
C. |x – 43| = 14
D. |x – 43| = 7
E. |x + 43| = 7

Solution:
by definition of absolute value function.
|x – a| = b gives set of points x which are at a distance of b unit from a.
Hence |x – 43| = 7 gives all value of x at a distance of 7 from 43.

Answer D
User avatar
GMATBusters
User avatar
GMAT Tutor
Joined: 27 Oct 2017
Last visit: 10 Dec 2024
Posts: 1,930
Own Kudos:
6,047
 []
Given Kudos: 240
WE:General Management (Education)
Expert reply
Posts: 1,930
Kudos: 6,047
 []
2
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Concept2:
it can be logically deducted that , if |x-a|=|y-a|, it means either x= y or the x and y are equidistant from a, hence average of x & y = a , or x+y = 2a
Attachment:
WhatsApp Image 2018-04-17 at 22.17.07.jpeg
WhatsApp Image 2018-04-17 at 22.17.07.jpeg [ 90.98 KiB | Viewed 5545 times ]


1)Sample Question:

|x+2|=|y+2| what is the value of x+y?
(1) xy<0
(2) x>2 y<2

Solution:
|x+2|=|y+2|, it means either x and y are equal or are equidistant from -2.

(1) xy<0
it means one is positive and one is negative, hence they are not equal. so x and y are equidistant from -2, hence sum of x and y = -4. SUFFICIENT.

(2) x>2 y<2
x not equal to y, hence their sum is -4. SUFFICIENT.

Hence Answer D
User avatar
Wildflower
Joined: 03 Aug 2016
Last visit: 13 Jun 2022
Posts: 38
Own Kudos:
Given Kudos: 99
Posts: 38
Kudos: 22
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi gmatbusters, thank you for this thread. I came across your second post (a day ago, I guess) being mentioned by you in an answer, and was hoping you'd start a thread! :-) Here it is! Appreciate it :-)
User avatar
GMATBusters
User avatar
GMAT Tutor
Joined: 27 Oct 2017
Last visit: 10 Dec 2024
Posts: 1,930
Own Kudos:
6,047
 []
Given Kudos: 240
WE:General Management (Education)
Expert reply
Posts: 1,930
Kudos: 6,047
 []
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
"The sum of the lengths of the shortest three sides of a quadrilateral must be longer than the longest side."

Construct a random quadrilateral ABCD.
Attachment:
gmatbusters2.jpg
gmatbusters2.jpg [ 12.4 KiB | Viewed 5250 times ]
Join any two vertices(Say AC)

Now from triangle inequality j+k>n
Also n+m>l

So, from the above two equations we have j+k+m > l

Hence,

The sum of the lengths of the shortest three sides of a quadrilateral must be longer than the longest side.


It is analogous to triangle inequality theorem, which states that sum of two sides of a triangle is greater than third side.

In fact in any polygon, the sum of lengths of other sides must be longer than the last side.

Question using this concept:given that the length of each sies of a
User avatar
GMATBusters
User avatar
GMAT Tutor
Joined: 27 Oct 2017
Last visit: 10 Dec 2024
Posts: 1,930
Own Kudos:
6,047
 []
Given Kudos: 240
WE:General Management (Education)
Expert reply
Posts: 1,930
Kudos: 6,047
 []
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post

Only triangle is the polygon where equal sides proves regular polygon.


"If all sides of a triangle are equal, triangle is equilateral with all angles equal. It is a regular polygon."

"For polygons (other than triangle), equality of sides doesn't make it a regular polygon."


For example in quadrilateral, all sides equal proves Quadrilateral to be rhombus, not square.
we need additional information to prove the same.

Question based on this logic In the figure above
User avatar
GMATBusters
User avatar
GMAT Tutor
Joined: 27 Oct 2017
Last visit: 10 Dec 2024
Posts: 1,930
Own Kudos:
6,047
 []
Given Kudos: 240
WE:General Management (Education)
Expert reply
Posts: 1,930
Kudos: 6,047
 []
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post

Approach to find whether an expression is EVEN or ODD



It is a 3 step process:

1. \(n^x\) has the same Even and Odd nature as a \(n\) itself so always ignore the power it doesn't matter whether power \(x\) = 2, 3, 100 or so no provided that x is a positive integer.
Always ignore/delete the exponent provided that exponent is a positive integer.

2. Ignore/delete the term which u know is an Even number.

3. if the coefficient of n is odd integer, just ignore the coefficient and write it as n only for simplicity, if the coefficient of n is Even, ignore/delete the complete term as it is Even


Example Question:

Which of the following expressions yields an even integer for any integer n?


A. \(n^2-10n+21\)

B. \(n^2-2n-24\)

C. \(n^2+8n+7\)

D. \(n^2+11n+18\)

E. \(n^2-4n-60\)

discussed here:https://gmatclub.com/forum/which-of-the-following-expressions-yields-an-even-integer-for-any-inte-311785.html#p2416425
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,825
Own Kudos:
Posts: 35,825
Kudos: 930
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderator:
Math Expert
97877 posts