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For the list of numbers above there is exactly one mode. Is the range

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For the list of numbers above there is exactly one mode. Is the range  [#permalink]

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New post 19 May 2017, 00:17
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a,b,c,d,e

For the list of numbers above there is exactly one mode. Is the range of the list greater than the mode of the list?

(1) At least one of the numbers in the list is negative.

(2) At least one of the numbers in the list is zero.

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Re: For the list of numbers above there is exactly one mode. Is the range  [#permalink]

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New post 19 May 2017, 05:25
1
3
Bunuel wrote:
a,b,c,d,e

For the list of numbers above there is exactly one mode. Is the range of the list greater than the mode of the list?

(1) At least one of the numbers in the list is negative.

(2) At least one of the numbers in the list is zero.



Hi,

First the terms..
1) Mode.... Number which occurs max time in the set
2) Median is the middle value.
3) Mean is the average of all numbers
4) Range is the difference between largest and smallest value


Let's see the statements..
(1) At least one of the numbers in the list is negative.
Even if we take the largest number to be the mode, RANGE will be "this number Minus some negative number".
Let the negative number be -a. Thus range will be = Mode-(-a)=mode+a

Say all the numbers are NEGATIVE, then the mode will be negative while range will be positive. Again range>mode..

Sufficient

(2) At least one of the numbers in the list is zero.[/quote]
Two cases ..
Mode is the largest number and smallest number is 0.. range =mode-0=mode..
If mode is any other number except the largest.. range will be more than mode..
Insuff

A
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Re: For the list of numbers above there is exactly one mode. Is the range  [#permalink]

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New post 19 May 2017, 06:07
A i should be
Statement 1 says that at least one of the number is -1.this means range will always be positive and greater than mode..we consider two conditions
a= -1 b= 0 c=0 d=0 e=1------> range will be 1- (-1) = 2 greater than mode
a= -10 b =-5 c=-5 d= -5 e = -1----> range will be -1 - (-10) = 9

Statement B isnt sufficient because we dont knwo how many positive and negative integers the set has...
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Re: For the list of numbers above there is exactly one mode. Is the range  [#permalink]

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New post 15 Aug 2017, 01:02
chetan2u wrote:
Bunuel wrote:
a,b,c,d,e

For the list of numbers above there is exactly one mode. Is the range of the list greater than the mode of the list?

(1) At least one of the numbers in the list is negative.

(2) At least one of the numbers in the list is zero.



Hi,

First the terms..
1) Mode.... Number which occurs max time in the set
2) Median is the middle value.
3) Mean is the average of all numbers
4) Range is the difference between largest and smallest value


Let's see the statements..
(1) At least one of the numbers in the list is negative.
Even if we take the largest number to be the mode, RANGE will be "this number Minus some negative number".
Let the negative number be -a. Thus range will be = Mode-(-a)=mode+a

Say all the numbers are NEGATIVE, then the mode will be negative while range will be positive. Again range>mode..

Sufficient

(2) At least one of the numbers in the list is zero.

Two cases ..
Mode is the largest number and smallest number is 0.. range =mode-0=mode..
If mode is any other number except the largest.. range will be more than mode..
Insuff

A[/quote]

Is it necessary for the numbers to be integers?
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Posts: 47898
Re: For the list of numbers above there is exactly one mode. Is the range  [#permalink]

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New post 15 Aug 2017, 01:04
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Re: For the list of numbers above there is exactly one mode. Is the range  [#permalink]

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New post 22 Sep 2017, 14:13
Bunuel wrote:
kaustavbecs wrote:

Is it necessary for the numbers to be integers?


For this particular questions nothing limits the list to have non-integer elements.


How about a case where all numbers are negative and same? a = b = c = d = e = -1.

Or for 2

A case where all numbers are 0?

IMO the answer should be E. But Veritas claims it's A.
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Re: For the list of numbers above there is exactly one mode. Is the range  [#permalink]

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New post 23 Sep 2017, 04:33
miglanidhairya wrote:
Bunuel wrote:
kaustavbecs wrote:

Is it necessary for the numbers to be integers?


For this particular questions nothing limits the list to have non-integer elements.


How about a case where all numbers are negative and same? a = b = c = d = e = -1.

Or for 2

A case where all numbers are 0?

IMO the answer should be E. But Veritas claims it's A.


You are not going to the end.

What is the answer to the question if a = b = c = d = e = -1? What is the answer to the question for other possible sets in (1)?
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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: For the list of numbers above there is exactly one mode. Is the range &nbs [#permalink] 23 Sep 2017, 04:33
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