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.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Set A consists of all distinct prime numbers which are 2 mor
[#permalink]
Show Tags
17 Feb 2014, 03:54
2
5
00:00
A
B
C
D
E
Difficulty:
95% (hard)
Question Stats:
41% (01:51) correct 59% (01:46) wrong based on 273 sessions
HideShow timer Statistics
Set A consists of all distinct prime numbers which are 2 more than a multiple of 3. If set B consists of distinct integers, is set B a subset of set A?
(1) Set B consist of two positive integers whose product is 10. (2) The product of reciprocals of all elements in set B is a terminating decimal
Re: Set A consists of all distinct prime numbers which are 2 mor
[#permalink]
Show Tags
17 Feb 2014, 03:54
3
5
SOLUTION
Set A consists of all distinct prime numbers which are 2 more than a multiple of 3. If set B consists of distinct integers, is set B a subset of set A?
According to the definition set A = {2, 5, 11, 17, 23, 29, 41, ...}
(1) Set B consist of two positive integers whose product is 10. 10 can be broken into the product of two integers in two ways: 10 = 1*10 and 10 = 2*5. If set B = {1, 10}, then the answer to the question is NO but if set B = {2, 5}, then the answer to the question is YES. Not sufficient.
(2) The product of reciprocals of all elements in set B is a terminating decimal. If set B = {4, 8}, then the answer to the question is NO but if set B = {2, 5}, then the answer to the question is YES. Not sufficient.
(1)+(2) Both possible sets from (1) meet the condition stated in the second statement: \(\frac{1}{1}*\frac{1}{10}=\frac{1}{10}=0.1= terminating \ decimal\) and \(\frac{1}{2}*\frac{1}{5}=\frac{1}{10}=0.1= terminating \ decimal\). Thus we still have two sets, which give two different answers to the question. Not sufficient.
Re: Set A consists of all distinct prime numbers which are 2 mor
[#permalink]
Show Tags
17 Feb 2014, 04:19
Bunuel wrote:
Set A consists of all distinct prime numbers which are 2 more than a multiple of 3. If set B consists of distinct integers, is set B a subset of set A?
(1) Set B consist of two positive integers whose product is 10. (2) The product of reciprocals of all elements in set B is a terminating decimal
Sol: Possible values of Set A ={5,11,17,23,29,41,47...}
St 1: Possible combination with multiple of 10 ( 1,10) (2,5) -----> Clearly not a subset of A So sufficient
St 2: Since the reciprocal is a terminating decimal so the terms will be of of 1/ (2^a*5^b) where a and b are integers So possible value are {2,5,10, 20,125.....} If Set B has only 1 element let us say {5} then B is subset otherwise not
Ans is A
_________________
“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”
Re: Set A consists of all distinct prime numbers which are 2 mor
[#permalink]
Show Tags
17 Feb 2014, 04:23
WoundedTiger wrote:
Bunuel wrote:
Set A consists of all distinct prime numbers which are 2 more than a multiple of 3. If set B consists of distinct integers, is set B a subset of set A?
(1) Set B consist of two positive integers whose product is 10. (2) The product of reciprocals of all elements in set B is a terminating decimal
Sol: Possible values of Set A ={5,11,17,23,29,41,47...}
St 1: Possible combination with multiple of 10 ( 1,10) (2,5) -----> Clearly not a subset of A So sufficient
St 2: Since the reciprocal is a terminating decimal so the terms will be of of 1/ (2^a*5^b) where a and b are integers So possible value are {2,5,10, 20,125.....} If Set B has only 1 element let us say {5} then B is subset otherwise not
Ans is A
Like many GMAT Club's questions, this one is tricky... Set A is missing an important element.
_________________
Re: Set A consists of all distinct prime numbers which are 2 mor
[#permalink]
Show Tags
17 Feb 2014, 04:47
Bunuel wrote:
WoundedTiger wrote:
Bunuel wrote:
Set A consists of all distinct prime numbers which are 2 more than a multiple of 3. If set B consists of distinct integers, is set B a subset of set A?
(1) Set B consist of two positive integers whose product is 10. (2) The product of reciprocals of all elements in set B is a terminating decimal
Sol: Possible values of Set A ={5,11,17,23,29,41,47...}
St 1: Possible combination with multiple of 10 ( 1,10) (2,5) -----> Clearly not a subset of A So sufficient
St 2: Since the reciprocal is a terminating decimal so the terms will be of of 1/ (2^a*5^b) where a and b are integers So possible value are {2,5,10, 20,125.....} If Set B has only 1 element let us say {5} then B is subset otherwise not
Ans is A
Like many GMAT Club's questions, this one is tricky... Set A is missing an important element.
Yes it is. Possible values in Set A ={2,5,11,17,23,29,41....} So if Set B={2,5} then yes but Set B={1,10} then No
So A and D ruled out
St2 : If Set B {2},{5} or {10} or {2,5} then yes otherwise no. So St 2 is ruled out
Combining we get Set B ={ 2,5}
Ans C
_________________
“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”
Re: Set A consists of all distinct prime numbers which are 2 mor
[#permalink]
Show Tags
23 Feb 2014, 06:05
1
SOLUTION
Set A consists of all distinct prime numbers which are 2 more than a multiple of 3. If set B consists of distinct integers, is set B a subset of set A?
According to the definition set A = {2, 5, 11, 17, 23, 29, 41, ...}
(1) Set B consist of two positive integers whose product is 10. 10 can be broken into the product of two integers in two ways: 10 = 1*10 and 10 = 2*5. If set B = {1, 10}, then the answer to the question is NO but if set B = {2, 5}, then the answer to the question is YES. Not sufficient.
(2) The product of reciprocals of all elements in set B is a terminating decimal. If set B = {4, 8}, then the answer to the question is NO but if set B = {2, 5}, then the answer to the question is YES. Not sufficient.
(1)+(2) Both possible sets from (1) meet the condition stated in the second statement: \(\frac{1}{1}*\frac{1}{10}=\frac{1}{10}=0.1= terminating \ decimal\) and \(\frac{1}{2}*\frac{1}{5}=\frac{1}{10}=0.1= terminating \ decimal\). Thus we still have two sets, which give two different answers to the question. Not sufficient.
Re: Set A consists of all distinct prime numbers which are 2 mor
[#permalink]
Show Tags
22 Sep 2017, 10:16
Bunuel wrote:
SOLUTION
Set A consists of all distinct prime numbers which are 2 more than a multiple of 3. If set B consists of distinct integers, is set B a subset of set A?
According to the definition set A = {2, 5, 11, 17, 23, 29, 41, ...}
(1) Set B consist of two positive integers whose product is 10. 10 can be broken into the product of two integers in two ways: 10 = 1*10 and 10 = 2*5. If set B = {1, 10}, then the answer to the question is NO but if set B = {2, 5}, then the answer to the question is YES. Not sufficient.
(2) The product of reciprocals of all elements in set B is a terminating decimal. If set B = {4, 8}, then the answer to the question is NO but if set B = {2, 5}, then the answer to the question is YES. Not sufficient.
(1)+(2) Both possible sets from (1) meet the condition stated in the second statement: \(\frac{1}{1}*\frac{1}{10}=\frac{1}{10}=0.1= terminating \ decimal\) and \(\frac{1}{2}*\frac{1}{5}=\frac{1}{10}=0.1= terminating \ decimal\). Thus we still have two sets, which give two different answers to the question. Not sufficient.
Answer: E.
Hi Bunuel
How will we get 2 in set A? can u pls explain..
As per my understanding, 2 more than a multiple of 3 means..It starts with {5,11,17...}
Re: Set A consists of all distinct prime numbers which are 2 mor
[#permalink]
Show Tags
22 Sep 2017, 10:22
1
1
zanaik89 wrote:
Bunuel wrote:
SOLUTION
Set A consists of all distinct prime numbers which are 2 more than a multiple of 3. If set B consists of distinct integers, is set B a subset of set A?
According to the definition set A = {2, 5, 11, 17, 23, 29, 41, ...}
(1) Set B consist of two positive integers whose product is 10. 10 can be broken into the product of two integers in two ways: 10 = 1*10 and 10 = 2*5. If set B = {1, 10}, then the answer to the question is NO but if set B = {2, 5}, then the answer to the question is YES. Not sufficient.
(2) The product of reciprocals of all elements in set B is a terminating decimal. If set B = {4, 8}, then the answer to the question is NO but if set B = {2, 5}, then the answer to the question is YES. Not sufficient.
(1)+(2) Both possible sets from (1) meet the condition stated in the second statement: \(\frac{1}{1}*\frac{1}{10}=\frac{1}{10}=0.1= terminating \ decimal\) and \(\frac{1}{2}*\frac{1}{5}=\frac{1}{10}=0.1= terminating \ decimal\). Thus we still have two sets, which give two different answers to the question. Not sufficient.
Answer: E.
Hi Bunuel
How will we get 2 in set A? can u pls explain..
As per my understanding, 2 more than a multiple of 3 means..It starts with {5,11,17...}
Pls help
0 is a multiple of 3 (0 is a multiple of every positive integer) so 2 is 2 more than a multiple of 3.
_________________
Re: Set A consists of all distinct prime numbers which are 2 mor
[#permalink]
Show Tags
04 Oct 2018, 19:53
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
close
41% (01:51) correct 
