Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions)
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58400

What is the mode of the list above?
[#permalink]
Show Tags
20 Aug 2018, 04:35
Question Stats:
42% (01:18) correct 58% (01:18) wrong based on 165 sessions
HideShow timer Statistics
GMAT CLUB TESTS' FRESH QUESTION: {a, b, c, d} What is the mode of the list above? (1) The product of no two elements of the list is positive (2) The range of the elements of the list is 0
Official Answer and Stats are available only to registered users. Register/ Login.
_________________



Manager
Joined: 23 May 2017
Posts: 235
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)

Re: What is the mode of the list above?
[#permalink]
Show Tags
20 Aug 2018, 04:43
A? mode = 0 1) The product of no two elements of the list is positive [ 0, 0, 0, 0] [ 1, 0, 0, 1] [ 1, 0, 0, 3] statement 2 is a subset of statement 1: hence 2 can't be sufficient
_________________
If you like the post, please award me Kudos!! It motivates me



Manager
Joined: 09 Apr 2017
Posts: 53
Location: Nepal
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q47 V22 GMAT 2: 640 Q48 V29 GMAT 3: 690 Q48 V36
WE: Information Technology (Computer Software)

Re: What is the mode of the list above?
[#permalink]
Show Tags
21 Aug 2018, 08:58
B
1. {0,0,0,0} , {0,2,0,2} Insufficient 2. Range = 0 {0,0,0,0}, {1,1,1,1},{2,2,2,2} Mode = 4 Sufficient



Manager
Joined: 09 Apr 2017
Posts: 53
Location: Nepal
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q47 V22 GMAT 2: 640 Q48 V29 GMAT 3: 690 Q48 V36
WE: Information Technology (Computer Software)

Re: What is the mode of the list above?
[#permalink]
Show Tags
21 Aug 2018, 08:59
B
1. {0,0,0,0} , {0,2,0,2} Insufficient
2. Range = 0 {0,0,0,0}, {1,1,1,1},{2,2,2,2} Mode = 4 Sufficient



Manager
Joined: 23 May 2017
Posts: 235
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)

Re: What is the mode of the list above?
[#permalink]
Show Tags
21 Aug 2018, 13:38
pratik2018 wrote: B
1. {0,0,0,0} , {0,2,0,2} Insufficient
2. Range = 0 {0,0,0,0}, {1,1,1,1},{2,2,2,2} Mode = 4 Sufficient The number that occurs the most in the set is called mode. Statement B just says that range = 0 and as you correctly identified , set can be made of different combinations but does not necessarily gives us the mode. So B is insufficient
_________________
If you like the post, please award me Kudos!! It motivates me



Intern
Joined: 15 Aug 2018
Posts: 1

Re: What is the mode of the list above?
[#permalink]
Show Tags
21 Aug 2018, 17:51
pratik2018 wrote: B
1. {0,0,0,0} , {0,2,0,2} Insufficient 2. Range = 0 {0,0,0,0}, {1,1,1,1},{2,2,2,2} Mode = 4 Sufficient You clearly have no idea what the mode is. Mode is the most repeated number in a sequence. And I believe only the first one is sufficient in that sense. (A) Posted from my mobile device



Intern
Joined: 22 Jul 2018
Posts: 14
Location: India

Re: What is the mode of the list above?
[#permalink]
Show Tags
22 Aug 2018, 11:39
Is the answer A St1: {0,0,0,0},{0,1,1,0} mode 0 st2: range 0 : highest and lowest numbers are equal, so all numbers are equal.Hence the numbers can be anything. Insufficient



GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5001
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

Re: What is the mode of the list above?
[#permalink]
Show Tags
24 Dec 2018, 01:07
Bunuel wrote: GMAT CLUB TESTS' FRESH QUESTION: {a, b, c, d} What is the mode of the list above? (1) The product of no two elements of the list is positive (2) The range of the elements of the list is 0 from 1: product of no two elements is +ve : ( 1,0,0,1) (2,0,0,1) sufficient From:range of elements is 0 : it can be any set of number IMO A



Math Expert
Joined: 02 Sep 2009
Posts: 58400

Re: What is the mode of the list above?
[#permalink]
Show Tags
24 Dec 2018, 01:48
Bunuel wrote: GMAT CLUB TESTS' FRESH QUESTION: {a, b, c, d} What is the mode of the list above? (1) The product of no two elements of the list is positive (2) The range of the elements of the list is 0 Par of GMAT CLUB'S New Year's Quantitative Challenge Set
_________________



Manager
Joined: 24 Dec 2018
Posts: 107
Concentration: Entrepreneurship, Finance

Re: What is the mode of the list above?
[#permalink]
Show Tags
29 Dec 2018, 12:39
Interesting concepts tested in this question. First, mode is the element of the set which occurs the most number of times in that set. Eg: In a set A= {1, 2, 2, 2, 6 ,7}, the mode is the number that occurs the most times i.e. 2 and not the number of times 2 occurs (i.e. 3) Lets move to statements. Statement 1: This means that if any two elements of the set are multiplied, the product is either negative or 0 (this is the important bit!). Now, we can never have a condition where in a set of 4 numbers, product of any two numbers is negative. Eg: Let's say a, b and c are positive and d is negative. Here, a*d will be negative. However, since we can pick any two numbers, what if we pick numbers a and b, then the product will be positive. A similar situation happens if we take more numbers to be negative. Lets move to testing for 0. Now, product of any two numbers to be 0 will happen only if at least 3 numbers out of the 4 are 0. Thus, clearly 0 is the number that occurs most number of times. Hence, the mode is 0. This statement is sufficientStatement 2: If range of a set is 0, then all numbers are the same. However, we still don't know what is that number. Hence, we cannot calculate mode. Statement 2 is insufficient. Hence, answer is A
_________________
Hit Kudos if you like my answer!



ISB School Moderator
Joined: 08 Dec 2013
Posts: 594
Location: India
Concentration: Nonprofit, Sustainability
WE: Operations (NonProfit and Government)

What is the mode of the list above?
[#permalink]
Show Tags
20 May 2019, 17:57
Bunuel wrote: GMAT CLUB TESTS' FRESH QUESTION: {a, b, c, d} What is the mode of the list above? (1) The product of no two elements of the list is positive (2) The range of the elements of the list is 0 What is mode? The number in the list that has the maximum occurrence/frequency; e.g {2,2,2,2,3} has mode 2. Statement 1. Let's try to create a set where no two numbers will give a positive product: {1, 5, 0, 0}, Clearly 0 is the mode here(Frequency=2). Another example {4, 8, 0, 0} Sufficient. Statement 2. let's try to create a set with range=0. What is range: The distance of the max and min element in the set on a number line. https://www.mathgoodies.com/lessons/vol8/rangeRange zero sets {0,0,0,0}Mode is 0 {4,4,4,4}4 is mode. Clearly not sufficient as we are getting multiple values.
_________________
Kindly drop a '+1 Kudos' if you find this post helpful.GMAT Math Book I never wanted what I gave up I never gave up what I wanted




What is the mode of the list above?
[#permalink]
20 May 2019, 17:57






