Mar 27 03:00 PM PDT - 04:00 PM PDT Join a free live webinar and learn the winning strategy for a 700+ score on GMAT & the perfect application. Save your spot today! Wednesday, March 27th at 3 pm PST Mar 29 06:00 PM PDT - 07:00 PM PDT Join a FREE 1-day workshop and learn how to ace the GMAT while keeping your full-time job. Limited for the first 99 registrants. Mar 29 10:00 PM PDT - 11:00 PM PDT Right now, their GMAT prep, GRE prep, and MBA admissions consulting services are up to $1,100 off. GMAT (Save up to $261): SPRINGEXTRAGMAT GRE Prep (Save up to $149): SPRINGEXTRAGRE MBA (Save up to $1,240): SPRINGEXTRAMBA Mar 30 07:00 AM PDT - 09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Mar 31 07:00 AM PDT - 09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.
|
Author |
Message |
|
TAGS:
|
|
|
Current Student
Joined: 12 Aug 2015
Posts: 2616
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
 20 Jan 2017, 08:04
|
|
|
|
|
|
Intern
Joined: 17 May 2016
Posts: 7
WE: Information Technology (Computer Software)
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
22 Jan 2017, 01:05
Hi Stonecold ! First of all thanks for sharing these awesome conceptual questions. I have one doubt - Why "Z" cannot be -ve (Negative integer) for question no 1 in Mock test1
1)If z is divisible by all the integers from 1 to 5 inclusive,what is the smallest value of z?
Possible minimum values for Z also include -60,-120 etc. 60 should be the smallest positive integer.
Please correct me if i am wrong.
|
|
|
|
|
|
Current Student
Joined: 12 Aug 2015
Posts: 2616
|
STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
22 Jan 2017, 06:40
Vianand4 wrote: Hi Stonecold ! First of all thanks for sharing these awesome conceptual questions. I have one doubt - Why "Z" cannot be -ve (Negative integer) for question no 1 in Mock test1
1)If z is divisible by all the integers from 1 to 5 inclusive,what is the smallest value of z?
Possible minimum values for Z also include -60,-120 etc. 60 should be the smallest positive integer.
Please correct me if i am wrong. Hi. Thanks for the feedback on the Quiz. Coming back to your question. Technically you are right. But the Bottom line is -> Factors and multiples on the GMAT are always positive integers. Hence z would always be 60. Regards Stone Cold
_________________
|
|
|
|
|
|
Current Student
Joined: 12 Aug 2015
Posts: 2616
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
24 Jan 2017, 22:00
|
|
|
|
|
|
Manager
Joined: 25 Mar 2013
Posts: 238
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
30 Jan 2017, 16:48
1)If z is divisible by all the integers from 1 to 5 inclusive,what is the smallest value of z? Without any options how can we think and try z = 60? Yes I understand 60 is divisible by all numbers 1 to 5 Assume If z is divisible by all integers from 1 to 7 inclusive, what is the smallest value of z? without knowing any options? Thanks
_________________
I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you
|
|
|
|
|
|
Manager
Joined: 25 Mar 2013
Posts: 238
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
30 Jan 2017, 16:58
2)Data Sufficiency-> Is the positive integer z divisible by 12? A)z is divisible by 3. B)z is not divisible by 2. 1, z / 3 = integer z could be 3,6,9,12,15,24... Insufficient BCE 2, z / 2 # integer z must be an odd number Sufficient 3)Data Sufficiency-> Is integer z divisible by 21? A)z is divisible by 7 --- Insufficient B)z is divisible by 3 ---- Insufficient Z = 21, divisible by both 3 and 7 C 4, E
_________________
I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you
|
|
|
|
|
|
Current Student
Joined: 12 Aug 2015
Posts: 2616
|
STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
26 Mar 2017, 09:43
A quadrilateral has a perimeter of 16. Which of the following alone would provide sufficient information to determine the area of the quadrilateral.
A)The quadrilateral contains equal sides.
B)The quadrilateral is formed by combining two isosceles right triangles.
C) Two pairs of congruent angles are in a 2:1 ratio.
D) The width is 4o% of the length and all angles are of equal measure.
E) If the perimeter was decreased by 50%, the area would decrease by 25%
_________________
|
|
|
|
|
|
Current Student
Joined: 12 Aug 2015
Posts: 2616
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
28 Apr 2017, 00:02
The difference between the digits of a two digit number is 3.How many such numbers are possible ?
A)12
B)13
C)14
D)15
E)16
_________________
|
|
|
|
|
|
Manager
Joined: 24 Jan 2017
Posts: 142
GMAT 1: 640 Q50 V25 GMAT 2: 710 Q50 V35
GPA: 3.48
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
23 May 2017, 20:18
stonecold wrote: The difference between the digits of a two digit number is 3.How many such numbers are possible ?
A)12
B)13
C)14
D)15
E)16 Hello, I am new in your topic. Is there anyone still discussing this? The following is my take. Hope to receive your comment on it. Thank you. Difference between 2 digits is 3 => Smaller digit must range from 0 to 6 (because if the smaller is 7, then the larger will be 10 -> this cannot happen). The difference is constant, so we have 7 numbers Tens digit will be either the larger or smaller, so we have 7x2=14 number Eliminate the case [03], because 0 cannot play the role of tens digit. Therefore, we have 14-1=13 numbers => (B) is correct
|
|
|
|
|
|
BSchool Forum Moderator
Joined: 28 Mar 2017
Posts: 1212
Location: India
GPA: 4
|
If 2,3,5 are the only prime factors of a positive integer p,what is th
[#permalink]
Show Tags
06 Dec 2017, 12:46
Sorry I am unable to find the existing thread for this question:If 2,3,5 are the only prime factors of a positive integer p,what is the value of p? A)p>100 B)p has exactly 12 factors including 1 and 12. Why is the answer . Since 2,3,5 are the only prime factors of p=> The general expression for p will be 2a∗3b∗5c2a∗3b∗5c where a,b,c are positive integers.
Statement 1->p>100.
There exist infinite such cases.
In-fact there are only a few cases where p will be less than 100.
Hence not sufficient.
Statement 2->
Factors =12
Hence (a+1)*(b+1)*(c+1)=12=2*2*3
NOTE-> We can't arrange 12 as 1*1*12 or 2*6*1 or 4*3*1 as a,b,c are positive integers.
Hence a,b,c => (1,1,2) or (1,2,1) or (2,1,1)
Posible values of p=> 150,90,60
Hence not sufficient.
Combining the two statements => p must be 150.
Hence C. My answer is The option B explicitly states that 12 is a factor of p. So, 2 must have a power of 2 and 3 must have power 1. Now since number of factors is 12, 5 should have power=1.
Thus only feasible solution is p=60.
Please point out the issue in my understanding _________________
|
|
|
|
|
|
Current Student
Joined: 18 Aug 2016
Posts: 620
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38
|
Re: If 2,3,5 are the only prime factors of a positive integer p,what is th
[#permalink]
Show Tags
06 Dec 2017, 13:04
12 is not a factor of 150 or 90...so U know the answer Sent from my iPhone using GMAT Club Forum
_________________
We must try to achieve the best within us
Thanks
Luckisnoexcuse
|
|
|
|
|
|
BSchool Forum Moderator
Joined: 28 Mar 2017
Posts: 1212
Location: India
GPA: 4
|
Re: If 2,3,5 are the only prime factors of a positive integer p,what is th
[#permalink]
Show Tags
06 Dec 2017, 13:08
Luckisnoexcuse wrote: 12 is not a factor of 150 or 90...so U know the answer
Sent from my iPhone using GMAT Club Forum Hi bro .. how is prep? Please have a look at the official explanation. i think that is wrong, hence my doubt
_________________
|
|
|
|
|
|
Current Student
Joined: 12 Aug 2015
Posts: 2616
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
16 Dec 2017, 08:27
gmatexam439 wrote: Sorry I am unable to find the existing thread for this question:If 2,3,5 are the only prime factors of a positive integer p,what is the value of p? A)p>100 B)p has exactly 12 factors including 1 and 12. Why is the answer . Since 2,3,5 are the only prime factors of p=> The general expression for p will be 2a∗3b∗5c2a∗3b∗5c where a,b,c are positive integers.
Statement 1->p>100.
There exist infinite such cases.
In-fact there are only a few cases where p will be less than 100.
Hence not sufficient.
Statement 2->
Factors =12
Hence (a+1)*(b+1)*(c+1)=12=2*2*3
NOTE-> We can't arrange 12 as 1*1*12 or 2*6*1 or 4*3*1 as a,b,c are positive integers.
Hence a,b,c => (1,1,2) or (1,2,1) or (2,1,1)
Posible values of p=> 150,90,60
Hence not sufficient.
Combining the two statements => p must be 150.
Hence C. My answer is The option B explicitly states that 12 is a factor of p. So, 2 must have a power of 2 and 3 must have power 1. Now since number of factors is 12, 5 should have power=1.
Thus only feasible solution is p=60.
Please point out the issue in my understanding My BAD.!
You are absolutely correct.
The OA should definitely be B.
if 12 is the factor the only possible combination would be 2^2*3*5
Best
Stone
_________________
|
|
|
|
|
|
BSchool Forum Moderator
Joined: 28 Mar 2017
Posts: 1212
Location: India
GPA: 4
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
16 Dec 2017, 08:53
stonecold wrote: gmatexam439 wrote: Sorry I am unable to find the existing thread for this question:If 2,3,5 are the only prime factors of a positive integer p,what is the value of p? A)p>100 B)p has exactly 12 factors including 1 and 12. Why is the answer . Since 2,3,5 are the only prime factors of p=> The general expression for p will be 2a∗3b∗5c2a∗3b∗5c where a,b,c are positive integers.
Statement 1->p>100.
There exist infinite such cases.
In-fact there are only a few cases where p will be less than 100.
Hence not sufficient.
Statement 2->
Factors =12
Hence (a+1)*(b+1)*(c+1)=12=2*2*3
NOTE-> We can't arrange 12 as 1*1*12 or 2*6*1 or 4*3*1 as a,b,c are positive integers.
Hence a,b,c => (1,1,2) or (1,2,1) or (2,1,1)
Posible values of p=> 150,90,60
Hence not sufficient.
Combining the two statements => p must be 150.
Hence C. My answer is The option B explicitly states that 12 is a factor of p. So, 2 must have a power of 2 and 3 must have power 1. Now since number of factors is 12, 5 should have power=1.
Thus only feasible solution is p=60.
Please point out the issue in my understanding My BAD.!
You are absolutely correct.
The OA should definitely be B.
if 12 is the factor the only possible combination would be 2^2*3*5
Best
Stone hehe finally i succeeded in finding one wrong .....  Regards
_________________
|
|
|
|
|
|
Intern
Joined: 10 Feb 2017
Posts: 10
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
29 Dec 2017, 22:17
Hi, Thank you for posting awesome test. I have a question though. For Mock 3 question # 2, I am not able to follow the second stem and wondering if you could help me clarify my lack of understanding. 2)Data Sufficiency->If n is a positive integer,is n divisible by 2? A)7n-8 is divisible by 20. B)3n^2+2n+5 is a prime number. I get that A is sufficient but I can't figure out B. Answer is D. Can you please stonecold help me figure this out. Thank you!
|
|
|
|
|
|
BSchool Forum Moderator
Joined: 28 Mar 2017
Posts: 1212
Location: India
GPA: 4
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
30 Dec 2017, 06:11
Bobzi wrote: Hi, Thank you for posting awesome test. I have a question though. For Mock 3 question # 2, I am not able to follow the second stem and wondering if you could help me clarify my lack of understanding. 2)Data Sufficiency->If n is a positive integer,is n divisible by 2? A)7n-8 is divisible by 20. B)3n^2+2n+5 is a prime number. I get that A is sufficient but I can't figure out B. Answer is D. Can you please stonecold help me figure this out. Thank you! Hi Bobzi, Statement 2: \(3n^2+2n+5\) is a prime number. Now since n is a positive integer, it means that n >=1. If that is the case then, \(3n^2+2n+5\) would always be greater than 2. So for \(3n^2+2n+5\) to be prime, it ought to be odd. Start with n=1: \(3n^2+2n+5\)=10 --Even; Thus \(3n^2+2n+5\) can never be prime when n=odd With, n=2: \(3n^2+2n+5\)=21 --Odd; Thus \(3n^2+2n+5\) will always be odd when n=even and thus there will exist a number which will be prime [we need not find that number]. So we can conclude that n=even and even numbers are always divisible by 2. -- SufficientI hope that clears your doubt !! 
_________________
|
|
|
|
|
|
Current Student
Joined: 12 Aug 2015
Posts: 2616
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
30 Dec 2017, 07:15
Bobzi wrote: Hi, Thank you for posting awesome test. I have a question though. For Mock 3 question # 2, I am not able to follow the second stem and wondering if you could help me clarify my lack of understanding. 2)Data Sufficiency->If n is a positive integer,is n divisible by 2? A)7n-8 is divisible by 20. B)3n^2+2n+5 is a prime number. I get that A is sufficient but I can't figure out B. Answer is D. Can you please stonecold help me figure this out. Thank you!
Although gmatexam439 is spot on with his method, I would like to use a more fundamental approach for statement 2.
We need to use the basics.
Remember all primes >2 are odd? Yes, we will use that here.
We are told 3n^2+2n+5 is a prime number
Since n is a positive integer the least possible value of n is one.
So the least possible value of 3n^2+2n+5 is 3+3+5 => 11
Hence 3n^2+2n+5 is a prime number ≥11
What is the common thing about all primes greater than 2? They are odd.
Hence 3n^2+2n+5 is odd.
So 3n^2+ even + odd = odd
3n^2 + odd = odd
3n^2 = odd-odd = even
3n^2 = even
Hence n = even.
Hence sufficient
Smash that D.
Best
Stone
_________________
|
|
|
|
|
|
Manager
Joined: 26 Feb 2018
Posts: 56
WE: Sales (Internet and New Media)
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
02 Mar 2018, 07:29
Excellent mate , Can we have answer explanations for these ? To be honest I'm getting many errors , would like to have some explanations . If you could help ?
_________________
" Can't stop learning and failing"
|
|
|
|
|
|
Current Student
Joined: 12 Aug 2015
Posts: 2616
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
02 Mar 2018, 23:59
loserunderachiever wrote: Excellent mate , Can we have answer explanations for these ? To be honest I'm getting many errors , would like to have some explanations . If you could help ? Hi, Which questions do you want me to discuss? I am happy to help with any quant questions you have for me. Just post in your question below and I will post in the solution. Best Stone
_________________
|
|
|
|
|
|
Manager
Joined: 26 Feb 2018
Posts: 56
WE: Sales (Internet and New Media)
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
Show Tags
03 Mar 2018, 00:26
Stone , Can you give me a solution of these two ?
Attachments
Screen Shot 2018-03-03 at 12.57.18 PM.png [ 104.42 KiB | Viewed 1467 times ]
_________________
" Can't stop learning and failing"
|
|
|
|
|
|
|
Re: STONECOLD'S MATH CHALLENGE - PS AND DS QUESTION COLLECTION.
[#permalink]
03 Mar 2018, 00:26
|
|
|
|
|
Go to page
Previous
1 2 3 4
Next
[ 79 posts ]
|
|
|
|
|
|
close
