GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 18 Oct 2019, 09:50

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

If the sum of three integers is divisible by 2, is their product divis

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58453
If the sum of three integers is divisible by 2, is their product divis  [#permalink]

Show Tags

New post 27 Sep 2018, 05:51
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

64% (01:44) correct 36% (01:49) wrong based on 52 sessions

HideShow timer Statistics

Manager
Manager
avatar
G
Joined: 02 Aug 2015
Posts: 153
Re: If the sum of three integers is divisible by 2, is their product divis  [#permalink]

Show Tags

New post 27 Sep 2018, 07:34
1
Bunuel wrote:
If the sum of three integers is divisible by 2, is their product divisible by 4?

(1) The three integers are same.
(2) The product of the three integers is divisible by 2.


(1) If the three integers are same and are divisible by 2, the integer has to be even. Hence there will be at least three 2s in the product. So it should be divisible by 4. Sufficient.

(2) The product of the three integers is divisible by 2. If integers are 1,1, and 2, product is not divisible by 4. If integers are 2,4, and 6, product is divisible by 4. Not sufficient.

Hence A.

Cheers!
e-GMAT Representative
User avatar
V
Joined: 04 Jan 2015
Posts: 3074
If the sum of three integers is divisible by 2, is their product divis  [#permalink]

Show Tags

New post 29 Sep 2018, 00:34

Solution



Given:
    • Sum of three integers is divisible by 2

To find:
    • Whether the product of the integers divisible by 4 or not

Analysing Statement 1
As per the information given in statement 1, the three integers are same.
We also know that their sum is divisible by 2.
    • As their sum is even, it is only possible when all of them are even.
    • And if we multiply 3 even numbers, then their product is always divisible by 4.

Hence, statement 1 is sufficient to answer the question.

Analysing Statement 2
As per the information given in statement 2, the product of the three integers is divisible by 2.
    • If the product of 3 numbers is divisible by 2, then at least one of them is a multiple of 2.
    • However, if only one multiple of 2 is present, then the product is not a multiple of 4.
    • In other cases, if two or three of them are multiples of 2, then the product is a multiple of 4.

Hence, statement 2 is not sufficient to answer the question.

Hence, the correct answer is option A.

Answer: A

Image

_________________
GMAT Club Bot
If the sum of three integers is divisible by 2, is their product divis   [#permalink] 29 Sep 2018, 00:34
Display posts from previous: Sort by

If the sum of three integers is divisible by 2, is their product divis

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne