Last visit was: 14 May 2025, 23:33 It is currently 14 May 2025, 23:33
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
stonecold
Joined: 12 Aug 2015
Last visit: 09 Apr 2024
Posts: 2,255
Own Kudos:
3,421
 [12]
Given Kudos: 893
GRE 1: Q169 V154
GRE 1: Q169 V154
Posts: 2,255
Kudos: 3,421
 [12]
Kudos
Add Kudos
11
Bookmarks
Bookmark this Post
User avatar
DAllison2016
Joined: 07 Jul 2016
Last visit: 30 Sep 2016
Posts: 58
Own Kudos:
66
 [1]
Given Kudos: 51
GPA: 4
Posts: 58
Kudos: 66
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Divyadisha
User avatar
Current Student
Joined: 18 Oct 2014
Last visit: 01 Jun 2018
Posts: 675
Own Kudos:
Given Kudos: 69
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT 1: 660 Q49 V31
Posts: 675
Kudos: 1,874
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
SSM700plus
Joined: 01 Aug 2017
Last visit: 08 Aug 2022
Posts: 164
Own Kudos:
Given Kudos: 420
Location: India
Concentration: General Management, Leadership
GMAT 1: 500 Q47 V15
GPA: 3.4
WE:Information Technology (Computer Software)
Products:
GMAT 1: 500 Q47 V15
Posts: 164
Kudos: 185
Kudos
Add Kudos
Bookmarks
Bookmark this Post
stonecold
Which of the following must be true =>
A) The Average of N Consecutive integers is an integer for N being Even
B) The Average of N Consecutive integers is an integer for N being Odd
C) The product N(N+1)(N+2) for integer N must be divisible by both 3 and 6
D) 2N+1 is always Odd irrespective of N.

1) B,C,D
2)A,C,D
3)B,C
4)Only D
5) All of them

It is a must be true question:-
A) Let consecutive integer be 1,2,3......6 , n =6 an odd
Average = 6*7/(2 *6) =3.5 not an integer .

B) Let consecutive integer be 1,2,3......5 , n =5 an odd
Average = n*(n+1)/(2 *n) = (n+1)/2 ==> bcz n is odd, n+1 is even. So (n+1)/2 is an integer.

C) The product N(N+1)(N+2) for integer N must be divisible by both 3 and 6. TRUE - Three consecutive number is always product of 3 & 6.

D) 2N+1 is always Odd irrespective of N. - FALSE. It is true only for Integer value of N.

Answer - 3) B & C
User avatar
OJA
Joined: 21 Aug 2024
Last visit: 14 May 2025
Posts: 32
Own Kudos:
Given Kudos: 147
Products:
Posts: 32
Kudos: 5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This is a tricky question. The idea is to take care if your statement is restricted with integer values or not. We often avoid checking this and just assume it to be an integer. Because in the above 3 statements, N is mentioned to be odd. Hence, one would need to stay more patient to follow the process and double read the statements.
Moderators:
Math Expert
101414 posts
PS Forum Moderator
581 posts