Last visit was: 25 Apr 2026, 10:39 It is currently 25 Apr 2026, 10:39
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
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,828
Own Kudos:
811,235
 [2]
Given Kudos: 105,883
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,828
Kudos: 811,235
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
DavidTutorexamPAL
User avatar
examPAL Representative
Joined: 07 Dec 2017
Last visit: 09 Sep 2020
Posts: 1,002
Own Kudos:
2,042
 [4]
Given Kudos: 26
Posts: 1,002
Kudos: 2,042
 [4]
2
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
User avatar
SchruteDwight
Joined: 03 Sep 2018
Last visit: 30 Mar 2023
Posts: 164
Own Kudos:
117
 [2]
Given Kudos: 923
Location: Netherlands
GPA: 4
Products:
Posts: 164
Kudos: 117
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
yasminguedes
Joined: 15 Aug 2019
Last visit: 28 Oct 2019
Posts: 4
Own Kudos:
Given Kudos: 31
Location: Brazil
Posts: 4
Kudos: 1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
DavidTutorexamPAL
Bunuel
Is y an integer?

(1) When y is divided by two, the result is the square of an integer.
(2) When y is multiplied by two, the result is the square of an integer

As this question has almost no technical details (numbers/equations) we'll look for a Logical approach.

(1) We'll start from the end: the square of an integer must be an integer.
Since an integer times 2 is still an integer, y must also be an integer.
Sufficient!

(2) Similarly to the above, the square of an integer is an integer.
However, without knowing if this integer is divisible by 2, we can't know if y is an integer or not.
Insufficient!

(A) is our answer.


But if x is a number which has no integer square, for example: If x=3, then \(\frac{y}{2}\)=\(\sqrt{3}\)-> y=2\(\sqrt{3}\)
Can you help me? Thank you!
User avatar
Mohammadmo
Joined: 29 Jun 2019
Last visit: 03 Nov 2022
Posts: 346
Own Kudos:
Given Kudos: 16
Posts: 346
Kudos: 250
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Just statement (1) could be sufficient
For statement (2); imagine y is 12.5 . When 12.5 is multiplied by 2, equals 25 which is the square but y is not integer.
Option A

Posted from my mobile device
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,985
Own Kudos:
Posts: 38,985
Kudos: 1,117
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:
Math Expert
109828 posts
498 posts
212 posts