GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Dec 2019, 06:09

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# In a set of five consecutive integers, which of the following must cha

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59728
In a set of five consecutive integers, which of the following must cha  [#permalink]

### Show Tags

19 Nov 2018, 23:23
00:00

Difficulty:

45% (medium)

Question Stats:

54% (01:26) correct 46% (01:19) wrong based on 57 sessions

### HideShow timer Statistics

In a set of five consecutive integers, which of the following must change the average of the set without changing its original median ?

A. Multiplying each of the numbers in the set by 6.
B. Adding 10 to each of the numbers in the set.
C. Subtracting 3.5 from each of the numbers in the set.
D. Adding 8.2 to the 2 largest numbers and subtracting 8.2 from the 3 smallest numbers in the set.
E. Adding 5 to the 2 largest and to the 2 smallest numbers in the set.

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5484
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
In a set of five consecutive integers, which of the following must cha  [#permalink]

### Show Tags

20 Nov 2018, 08:53
Bunuel wrote:
In a set of five consecutive integers, which of the following must change the average of the set without changing its original median ?

A. Multiplying each of the numbers in the set by 6.
B. Adding 10 to each of the numbers in the set.
C. Subtracting 3.5 from each of the numbers in the set.
D. Adding 8.2 to the 2 largest numbers and subtracting 8.2 from the 3 smallest numbers in the set.
E. Adding 5 to the 2 largest and to the 2 smallest numbers in the set.

ONLY option e satisfies the relation IMO E
Intern
Joined: 12 Sep 2017
Posts: 8
Re: In a set of five consecutive integers, which of the following must cha  [#permalink]

### Show Tags

08 Dec 2018, 23:33
Archit3110 wrote:
Bunuel wrote:
In a set of five consecutive integers, which of the following must change the average of the set without changing its original median ?

A. Multiplying each of the numbers in the set by 6.
B. Adding 10 to each of the numbers in the set.
C. Subtracting 3.5 from each of the numbers in the set.
D. Adding 8.2 to the 2 largest numbers and subtracting 8.2 from the 3 smallest numbers in the set.
E. Adding 5 to the 2 largest and to the 2 smallest numbers in the set.

ONLY option e satisfies the relation IMO E

hi
can u plz expalin how E is ANS .
if we take 1,2,3,4,5 then new set will be
6,7,3,9,10
& after rearrange 3,6,7,9,10
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5484
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In a set of five consecutive integers, which of the following must cha  [#permalink]

### Show Tags

09 Dec 2018, 01:39
jafy wrote:
Archit3110 wrote:
Bunuel wrote:
In a set of five consecutive integers, which of the following must change the average of the set without changing its original median ?

A. Multiplying each of the numbers in the set by 6.
B. Adding 10 to each of the numbers in the set.
C. Subtracting 3.5 from each of the numbers in the set.
D. Adding 8.2 to the 2 largest numbers and subtracting 8.2 from the 3 smallest numbers in the set.
E. Adding 5 to the 2 largest and to the 2 smallest numbers in the set.

ONLY option e satisfies the relation IMO E

hi
can u plz expalin how E is ANS .
if we take 1,2,3,4,5 then new set will be
6,7,3,9,10
& after rearrange 3,6,7,9,10

jafy

use series (-2,-1,0,1,2)

adding 5 to two largest and smallest would make it ( -4,-3,0,6,7)

Hope this helps..
Manager
Joined: 12 Apr 2011
Posts: 149
Location: United Arab Emirates
Concentration: Strategy, Marketing
Schools: CBS '21, Yale '21, INSEAD
GMAT 1: 670 Q50 V31
GMAT 2: 720 Q50 V37
WE: Marketing (Telecommunications)
Re: In a set of five consecutive integers, which of the following must cha  [#permalink]

### Show Tags

09 Dec 2018, 02:09
Hey Buddy,

if the set is -2,-1,0,1,2

Add 5 to the 2 largest numbers:
1+5 = 6
2+5 = 7

Add 5 to the 2 smallest numbers:
-2+5 = 3
-1+5 = 4

Hence the set becomes:
(0,3,4,6,7) i.e. median changes from 0 to 4.

Do we have another example which proves the correct answer is E?

Posted from my mobile device
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5484
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In a set of five consecutive integers, which of the following must cha  [#permalink]

### Show Tags

09 Dec 2018, 02:31
eabhgoy wrote:
Hey Buddy,

if the set is -2,-1,0,1,2

Add 5 to the 2 largest numbers:
1+5 = 6
2+5 = 7

Add 5 to the 2 smallest numbers:
-2+5 = 3
-1+5 = 4

Hence the set becomes:
(0,3,4,6,7) i.e. median changes from 0 to 4.

Do we have another example which proves the correct answer is E?

Posted from my mobile device

eabhgoy :
Initially solving the question I had misread the option e .. which is why i got it..

IMO It’s not possible to change the average of the set without changing its median Bunuel , i think given answer choice is wrong.. please check. if not then please provide solution..
Manager
Joined: 12 Apr 2011
Posts: 149
Location: United Arab Emirates
Concentration: Strategy, Marketing
Schools: CBS '21, Yale '21, INSEAD
GMAT 1: 670 Q50 V31
GMAT 2: 720 Q50 V37
WE: Marketing (Telecommunications)
Re: In a set of five consecutive integers, which of the following must cha  [#permalink]

### Show Tags

09 Dec 2018, 03:27
1
Archit3110 wrote:
eabhgoy wrote:
Hey Buddy,

if the set is -2,-1,0,1,2

Add 5 to the 2 largest numbers:
1+5 = 6
2+5 = 7

Add 5 to the 2 smallest numbers:
-2+5 = 3
-1+5 = 4

Hence the set becomes:
(0,3,4,6,7) i.e. median changes from 0 to 4.

Do we have another example which proves the correct answer is E?

Posted from my mobile device

eabhgoy :
Initially solving the question I had misread the option e .. which is why i got it..

IMO It’s not possible to change the average of the set without changing its median Bunuel , i think given answer choice is wrong.. please check. if not then please provide solution..

Actually, my answer was A which is marked as incorrect.

Taking your set as an example: -2,-1,0,1,2
Median = 0
Average = 0

Multiple all numbers by 6: -12,-6,0,6,12
Median = 0
Average = 0

Hence, in my opinion, the correct answer is A.
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5484
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
In a set of five consecutive integers, which of the following must cha  [#permalink]

### Show Tags

09 Dec 2018, 04:19
1
eabhgoy wrote:
Archit3110 wrote:
eabhgoy wrote:
Hey Buddy,

if the set is -2,-1,0,1,2

Add 5 to the 2 largest numbers:
1+5 = 6
2+5 = 7

Add 5 to the 2 smallest numbers:
-2+5 = 3
-1+5 = 4

Hence the set becomes:
(0,3,4,6,7) i.e. median changes from 0 to 4.

Do we have another example which proves the correct answer is E?

Posted from my mobile device

eabhgoy :
Initially solving the question I had misread the option e .. which is why i got it..

IMO It’s not possible to change the average of the set without changing its median Bunuel , i think given answer choice is wrong.. please check. if not then please provide solution..

Actually, my answer was A which is marked as incorrect.

Taking your set as an example: -2,-1,0,1,2
Median = 0
Average = 0

Multiple all numbers by 6: -12,-6,0,6,12
Median = 0
Average = 0

Hence, in my opinion, the correct answer is A.

eabhgoy
which of the following must change the average of the set without changing its original median

for the eg which you have cited it does not go well with the question as the avg/mean is not changing..

found similar question. the option here given is missing from the actual question..
https://greprepclub.com/forum/in-a-set- ... -8220.html
Director
Joined: 27 May 2012
Posts: 947
Re: In a set of five consecutive integers, which of the following must cha  [#permalink]

### Show Tags

18 Mar 2019, 01:27
jafy wrote:
Archit3110 wrote:
Bunuel wrote:
In a set of five consecutive integers, which of the following must change the average of the set without changing its original median ?

A. Multiplying each of the numbers in the set by 6.
B. Adding 10 to each of the numbers in the set.
C. Subtracting 3.5 from each of the numbers in the set.
D. Adding 8.2 to the 2 largest numbers and subtracting 8.2 from the 3 smallest numbers in the set.
E. Adding 5 to the 2 largest and to the 2 smallest numbers in the set.

ONLY option e satisfies the relation IMO E

hi
can u plz expalin how E is ANS .
if we take 1,2,3,4,5 then new set will be
6,7,3,9,10
& after rearrange 3,6,7,9,10

yes it is not possible to change the average of the set without changing the median.
_________________
- Stne
Re: In a set of five consecutive integers, which of the following must cha   [#permalink] 18 Mar 2019, 01:27
Display posts from previous: Sort by