Last visit was: 21 Apr 2026, 06:54 It is currently 21 Apr 2026, 06:54
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
amanvermagmat
User avatar
Retired Moderator
Joined: 22 Aug 2013
Last visit: 28 Mar 2025
Posts: 1,142
Own Kudos:
2,973
 [7]
Given Kudos: 480
Location: India
Posts: 1,142
Kudos: 2,973
 [7]
A list contains 5 positive integers. Are all the integers in this list 31 May 2018, 02:34
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

55% (hard)

Question Stats:

58% (01:32) correct 42% (01:48) wrong based on 190 sessions

History

Date
Time
Result
Not Attempted Yet
A list contains 5 positive integers. Are all the integers in this list distinct?

(1) If all possible pairs of integers in this list are added up exactly once, then all the resultant sums of pairs are distinct from each other.

(2) Positive Difference between any two integers in this list is greater than 1.
ShowHide Answer
Official Answer
D
User avatar
Tulkin987
User avatar
Joined: 28 Nov 2017
Last visit: 08 Sep 2020
Posts: 108
Own Kudos:
172
Given Kudos: 135
Location: Uzbekistan
Posts: 108
Kudos: 172
A list contains 5 positive integers. Are all the integers in this list 31 May 2018, 03:16
Kudos
Add Kudos
Bookmarks
Bookmark this Post
amanvermagmat
A list contains 5 positive integers. Are all the integers in this list distinct?

(1) If all possible pairs of integers in this list are added up exactly once, then all the resultant sums of pairs are distinct from each other.

(2) Positive Difference between any two integers in this list is greater than 1.
Show more

(1) If there were at least two same integers on the list, then sums of pairs would not be distinct from each other. Let's take \((1,1,2,3,4)\). Here two not distinct sums of pairs can be \(1+2=3\) and \(1+2=3\). Sufficient.

(2) If there were at least two same integers on the list, then difference would be \(0\). Sufficient.

Answer: D
User avatar
prags1989
User avatar
Joined: 06 Mar 2018
Last visit: 29 Jul 2024
Posts: 45
Own Kudos:
11
 [1]
Given Kudos: 148
Location: India
GMAT 1: 600 Q47 V27
GRE 1: Q160 V150
GPA: 2.7
GMAT 1: 600 Q47 V27
GRE 1: Q160 V150
Posts: 45
Kudos: 11
 [1]
A list contains 5 positive integers. Are all the integers in this list 27 Jun 2018, 07:53
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I don't understand Tulkin987 's explaination. Can someone help me to understand this?
User avatar
amanvermagmat
User avatar
Retired Moderator
Joined: 22 Aug 2013
Last visit: 28 Mar 2025
Posts: 1,142
Own Kudos:
2,973
 [2]
Given Kudos: 480
Location: India
Posts: 1,142
Kudos: 2,973
 [2]
A list contains 5 positive integers. Are all the integers in this list 27 Jun 2018, 10:56
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
prags1989
I don't understand Tulkin987 's explaination. Can someone help me to understand this?
Show more

Hello

Let the integers be a, b, c, d, e.

(1) Lets add all possible pairs once. So we have a+b, a+c, a+d, a+e, b+c, b+d, b+e, c+d, c+e, d+e. And we are given that these 10 resultant numbers are all distinct from each other.
So if say a+b =/= a+c, then cancel a from both sides to get b =/= c.
Similarly a+b =/= a+d, then cancel a again from both sides to get b =/= d. And so on, we can thus conclude that none of the five integers are same.

(2) If you subtract any two integers from this list, positive difference is greater than 1. So obviously NONE of the differences is 0. If difference between none of the two integers is 0, then none of the two integers are equal to each other in this list.

Hence D answer
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,943
Own Kudos:
1,116
Posts: 38,943
Kudos: 1,116
A list contains 5 positive integers. Are all the integers in this list 23 Mar 2024, 17:10
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
109724 posts
kingbucky
498 posts
Gmat860sanskar
210 posts