Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 19 Jul 2019, 03:56

### 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

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

# Is 729 a member of set S?

Author Message
TAGS:

### Hide Tags

Current Student
Joined: 22 Apr 2017
Posts: 108
Location: India
GMAT 1: 620 Q46 V30
GMAT 2: 620 Q47 V29
GMAT 3: 630 Q49 V26
GMAT 4: 690 Q48 V35
GPA: 3.7
Is 729 a member of set S?  [#permalink]

### Show Tags

18 Sep 2017, 10:58
4
00:00

Difficulty:

75% (hard)

Question Stats:

45% (01:38) correct 55% (01:44) wrong based on 59 sessions

### HideShow timer Statistics

Is 729 a member of set S?
1) The first 20 +ve integers are members of set S.
2) Product of ANY two members of the set S, provided that the value of the product is less than 1000, is a member of the set S.

Source: Expert's Global
Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: Is 729 a member of set S?  [#permalink]

### Show Tags

18 Sep 2017, 20:22
2
ManishKM1 wrote:
Is 729 a member of set S?
1) The first 20 +ve integers are members of set S.
2) Product of ANY two members of the set S, provided that the value of the product is less than 1000, is a member of the set S.

Source: Expert's Global

Hi...

Let's see the statements..
1) 1st 20 +ive integers are members of set S.
We do not know if there are any other members too.
The statement does not say ONLY these 20 are there.
Insufficient
2) product of any two numbers of set is also there.
Nothing much..
If only 1,2,4 are there then it will not have any multiple of 3.. ans NO
If 3 and 9 are there all power of 3 will be there and 729=3^6.... Ans YES
Insuff

Combined..
We know 3 and 9 are there so 27,81,243,729 will also be there
Ans YES
Sufficient

C
_________________
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 1028
Location: India
GPA: 3.64
Re: Is 729 a member of set S?  [#permalink]

### Show Tags

19 Sep 2017, 04:48
1
ManishKM1 wrote:
Is 729 a member of set S?
1) The first 20 +ve integers are members of set S.
2) Product of ANY two members of the set S, provided that the value of the product is less than 1000, is a member of the set S.

Source: Expert's Global

S1-No information about the other members.
Not sufficient.
S2-Not sufficient as nothing is known about the members.
Combining both, we see that 3^6=729 will be in the set, since multiplication of 3 and its multiples upto 20 integers will contain 3^6.
Hence sufficient.

Please give kudos, if u liked my post!
_________________
Please give kudos, if you like my post

When the going gets tough, the tough gets going...
Manager
Joined: 16 May 2017
Posts: 60
Location: India
GMAT 1: 710 Q47 V39
WE: General Management (Retail Banking)
Re: Is 729 a member of set S?  [#permalink]

### Show Tags

16 Aug 2018, 11:32
Can anyone explain the 2nd statement a little more?

Product of ANY two members of the set S, provided that the value of the product is less than 1000, is a member of the set S.
Product of 2 numbers... Which 2 numbers?
_________________
"The harder you work the luckier you get"
Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: Is 729 a member of set S?  [#permalink]

### Show Tags

16 Aug 2018, 11:42
1
aghosh54 wrote:
Can anyone explain the 2nd statement a little more?

Product of ANY two members of the set S, provided that the value of the product is less than 1000, is a member of the set S.
Product of 2 numbers... Which 2 numbers?

Any two numbers ..

So if the set has two numbers 2,3
Then other numbers will be 2,3,6,12,18,24,36,...
So if you pick 2 and 3, 2*3=6 is there
If you pick 3 and 6, 3*6=18 is there..

So even 18*24 will be there and so on
_________________
Re: Is 729 a member of set S?   [#permalink] 16 Aug 2018, 11:42
Display posts from previous: Sort by