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

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

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New post 19 Nov 2018, 23:23
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A
B
C
D
E

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  45% (medium)

Question Stats:

57% (01:28) correct 43% (01:19) wrong based on 49 sessions

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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.

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

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New post 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
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Re: In a set of five consecutive integers, which of the following must cha  [#permalink]

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New post 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
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Re: In a set of five consecutive integers, which of the following must cha  [#permalink]

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New post 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..
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Re: In a set of five consecutive integers, which of the following must cha  [#permalink]

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New post 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
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Re: In a set of five consecutive integers, which of the following must cha  [#permalink]

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New post 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..
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Re: In a set of five consecutive integers, which of the following must cha  [#permalink]

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New post 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.
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In a set of five consecutive integers, which of the following must cha  [#permalink]

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New post 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
Question specifically is asking:
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
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Re: In a set of five consecutive integers, which of the following must cha  [#permalink]

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New post 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.
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Re: In a set of five consecutive integers, which of the following must cha   [#permalink] 18 Mar 2019, 01:27
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