|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
26 Nov 2019, 01:23
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
42% (02:09) correct
58%
(01:59)
wrong
based on 72
sessions
History
Date
Time
Result
Not Attempted Yet
X is the least integer in a set of 7 consecutive positive integers. Are three distinct integers in this set divisible by 3?
(1) The product of all 7 integers is divisible by 27.
(2) X is not a multiple of 3.
(1) The product of all 7 integers is divisible by 27.
(2) X is not a multiple of 3.
26 Nov 2019, 12:01
Kudos
Bookmarks
There are three distinct integers in this set divisible by 3, if X is divisible by 3.
Statement 1- doesn't tell us whether x is divisible by 3
Insufficient
Statement 2- X is not a multiple of 3
Sufficient
Statement 1- doesn't tell us whether x is divisible by 3
Insufficient
Statement 2- X is not a multiple of 3
Sufficient
Bunuel
minustark
Joined: 14 Jul 2019
Last visit: 01 Apr 2021
Posts: 465
Own Kudos:
Given Kudos: 52
Status:Student
Location: United States
Concentration: Accounting, Finance
Schools: Zicklin Baruch "22
GMAT 1: 650 Q45 V35
GPA: 3.9
WE:Education (Accounting)
Products:
26 Nov 2019, 12:51
Kudos
Bookmarks
X is the least integer in a set of 7 consecutive positive integers. Are three distinct integers in this set divisible by 3?
(1) The product of all 7 integers is divisible by 27.
(2) X is not a multiple of 3.
3 distinct integers of the set of 7 consecutive integers will be divisible by 3 only when the 1st and last integer is divisible by 3. For example, {2,3,4,5,6,7,8} has only 2 integers that are divisible by 3. But {3,4,5,6,7,8,9} fulfills the condition.
(1) Let the set be {23,24,25,26,27,28,29}, here only 24 and 27 are divisible by 3. But in{27,28,29,30,31,32,33} exactly 3 integers are divisible by 3. Insufficient.
(2) The last term of the set of consecutive integers is divisible by 3. It means the 1st integer is also divisible by 3. Sufficient.
(1) The product of all 7 integers is divisible by 27.
(2) X is not a multiple of 3.
3 distinct integers of the set of 7 consecutive integers will be divisible by 3 only when the 1st and last integer is divisible by 3. For example, {2,3,4,5,6,7,8} has only 2 integers that are divisible by 3. But {3,4,5,6,7,8,9} fulfills the condition.
(1) Let the set be {23,24,25,26,27,28,29}, here only 24 and 27 are divisible by 3. But in{27,28,29,30,31,32,33} exactly 3 integers are divisible by 3. Insufficient.
(2) The last term of the set of consecutive integers is divisible by 3. It means the 1st integer is also divisible by 3. Sufficient.
