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# M22-15

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Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 128852 [0], given: 12183

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16 Sep 2014, 01:16
Expert's post
2
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

67% (00:59) correct 33% (02:04) wrong based on 30 sessions

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If after a number was added to a set consisting of all distinct one-digit prime integers, the median of the set grew by 25%, which of the following cannot be the value of the number added?

A. 4.8
B. 5.0
C. $$\sqrt{29}$$
D. 7.7
E. $$\frac{49}{4}$$
[Reveal] Spoiler: OA

_________________

Kudos [?]: 128852 [0], given: 12183

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 128852 [0], given: 12183

### Show Tags

16 Sep 2014, 01:16
Expert's post
1
This post was
BOOKMARKED
Official Solution:

If after a number was added to a set consisting of all distinct one-digit prime integers, the median of the set grew by 25%, which of the following cannot be the value of the number added?

A. 4.8
B. 5.0
C. $$\sqrt{29}$$
D. 7.7
E. $$\frac{49}{4}$$

The original set was $$\{2, 3, 5, 7\}$$. Its median was $$\frac{3 + 5}{2} = 4$$. The median of the new set $$= 4*1.25 = 5$$. Thus, the number added cannot be less than 5.

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Kudos [?]: 128852 [0], given: 12183

Intern
Joined: 11 Nov 2014
Posts: 40

Kudos [?]: 34 [2], given: 28

Concentration: Technology, Strategy
GMAT 1: 660 Q48 V31
GMAT 2: 720 Q50 V37
GPA: 3.6
WE: Consulting (Consulting)

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01 Jul 2015, 19:07
2
KUDOS
It´s not clear that the set has all 4 one-digit integers that are prime. One may understand that all items in the set are one digit integers (which would give you {2,3} or {3,5} or {2,3,5}.... just the way it´s written there is room for misunderstanding...

Kudos [?]: 34 [2], given: 28

Intern
Joined: 26 Sep 2014
Posts: 10

Kudos [?]: 5 [0], given: 10

Location: India
Schools: IIMB (A)
GMAT 1: 700 Q50 V34
GPA: 3.2

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31 Oct 2015, 03:10
michaelyb wrote:
It´s not clear that the set has all 4 one-digit integers that are prime. One may understand that all items in the set are one digit integers (which would give you {2,3} or {3,5} or {2,3,5}.... just the way it´s written there is room for misunderstanding...

Also, nowhere is it mentioned that all of them are positive.

Kudos [?]: 5 [0], given: 10

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 128852 [0], given: 12183

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31 Oct 2015, 04:00
jamesav wrote:
michaelyb wrote:
It´s not clear that the set has all 4 one-digit integers that are prime. One may understand that all items in the set are one digit integers (which would give you {2,3} or {3,5} or {2,3,5}.... just the way it´s written there is room for misunderstanding...

Also, nowhere is it mentioned that all of them are positive.

Only positive integers can be primes.
_________________

Kudos [?]: 128852 [0], given: 12183

Intern
Joined: 04 Aug 2014
Posts: 33

Kudos [?]: 1 [0], given: 4

GMAT 1: 620 Q44 V31
GMAT 2: 620 Q47 V28
GPA: 3.2

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07 Mar 2017, 04:29
hi Brunel how can you pick these numbers.For example if set is 2,3,5 then median is 3.after adding x median will become 3.75 so as per your statement number can't be less than 3.75

kindly clear where I am going wrong in my understanding

Kudos [?]: 1 [0], given: 4

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 128852 [0], given: 12183

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07 Mar 2017, 05:02
sidagar wrote:
hi Brunel how can you pick these numbers.For example if set is 2,3,5 then median is 3.after adding x median will become 3.75 so as per your statement number can't be less than 3.75

kindly clear where I am going wrong in my understanding

The question says that the set consists of single-digit prime integers. There are four single digit primes: 2, 3, 5, and 7. So, the set is {2, 3, 5, 7} not {2, 3, 5}
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04 Sep 2017, 11:22
I think this is a poor-quality question. It says all distinct one digit prime numbers, however it can be unclear. I understood it as ALL the numbers in the set were distinict prime digits, not that they set included ALL the prime single digits

Kudos [?]: [0], given: 0

Re M22-15   [#permalink] 04 Sep 2017, 11:22
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# M22-15

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