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# What is the mode of the list above?

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Math Expert
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What is the mode of the list above?  [#permalink]

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20 Aug 2018, 04:35
10
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(N/A)

Question Stats:

42% (01:18) correct 58% (01:18) wrong based on 165 sessions

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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

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Re: What is the mode of the list above?  [#permalink]

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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
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Re: What is the mode of the list above?  [#permalink]

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21 Aug 2018, 08:58
3
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
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Re: What is the mode of the list above?  [#permalink]

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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
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Re: What is the mode of the list above?  [#permalink]

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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
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Re: What is the mode of the list above?  [#permalink]

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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)

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Re: What is the mode of the list above?  [#permalink]

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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
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Re: What is the mode of the list above?  [#permalink]

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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
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Re: What is the mode of the list above?  [#permalink]

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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

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Re: What is the mode of the list above?  [#permalink]

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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 sufficient

Statement 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
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What is the mode of the list above?  [#permalink]

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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/range

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