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# What is the range of the 15 numbers?

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Math Expert
Joined: 02 Sep 2009
Posts: 58347
What is the range of the 15 numbers?  [#permalink]

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03 Apr 2018, 21:41
00:00

Difficulty:

25% (medium)

Question Stats:

86% (01:25) correct 14% (02:09) wrong based on 53 sessions

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What is the range of the 15 numbers?

(1) 1/3 of the numbers equal 25.
(2) The minimum value of the 15 numbers is 1/4 the maximum value of the 15 numbers.

_________________
Current Student
Joined: 07 Jan 2016
Posts: 1088
Location: India
GMAT 1: 710 Q49 V36
Re: What is the range of the 15 numbers?  [#permalink]

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04 Apr 2018, 00:32
Bunuel wrote:
What is the range of the 15 numbers?

(1) 1/3 of the numbers equal 25.
(2) The minimum value of the 15 numbers is 1/4 the maximum value of the 15 numbers.

range = highest value - lowest value

1) 1/3 = 25

i.e 5 numbers = 25

insufficient

2) min value = 1/4 times max

this doesn't give a value

insufficient

combining 1 and 2

no value for range

(E) imo
Manager
Joined: 05 Feb 2016
Posts: 168
Location: India
Concentration: General Management, Marketing
WE: Information Technology (Computer Software)
Re: What is the range of the 15 numbers?  [#permalink]

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04 Apr 2018, 00:49
Bunuel wrote:
What is the range of the 15 numbers?

(1) 1/3 of the numbers equal 25.
(2) The minimum value of the 15 numbers is 1/4 the maximum value of the 15 numbers.

from 1:*****25,25,25,25,25,25,*****
25,25,25,25,25,25,**********
**********25,25,25,25,25,25

three ways we can right this so insufficent
from2:
no value for max and min value so insufficient

Combining both also we will not get the max and min value

so insufficient.
E
Manager
Joined: 17 Jan 2017
Posts: 60
What is the range of the 15 numbers?  [#permalink]

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04 Apr 2018, 01:41
Bunuel wrote:
What is the range of the 15 numbers?

(1) 1/3 of the numbers equal 25.
(2) The minimum value of the 15 numbers is 1/4 the maximum value of the 15 numbers.

First of all: Range = Max. Value - Min. Value
(1)
_ _ _ _ _ 25 25 25 25 25 _ _ _ _ _
No information about min or max given
INSUFFICIENT

(2)
Min = 1/4 * Max
eg.
10 _ _ _ _ _ _ _ _ _ _ _ _ _ 40 (Range: 40-10= 30)
20 _ _ _ _ _ _ _ _ _ _ _ _ _ 80 (Range: 80-20= 60)
INSUFFICIENT

(1) + (2)
No additional information. We do not care what numbers are in the set. We want to know the Min and Max.

Hence, (E)
What is the range of the 15 numbers?   [#permalink] 04 Apr 2018, 01:41
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