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

 It is currently 26 May 2019, 21:18

### 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

# Three boxes of supplies have an average weight of 7 kgs and

Author Message
Intern
Joined: 05 Sep 2007
Posts: 37
Three boxes of supplies have an average weight of 7 kgs and  [#permalink]

### Show Tags

28 Sep 2007, 11:18
4
2
00:00

Difficulty:

45% (medium)

Question Stats:

58% (01:11) correct 42% (01:18) wrong based on 111 sessions

### HideShow timer Statistics

Three boxes of supplies have an average weight of 7 kgs and a median weight of 9 Kgs. What is the maximum possible weight, in kilograms, of the lightest box?

A. 1
B. 2
C. 3
D. 4
E. 5

OPEN DISCUSSION OF THIS QUESTION IS HERE: three-boxes-of-supplies-have-an-average-arithmetic-mean-105819.html
VP
Joined: 09 Jul 2007
Posts: 1022
Location: London
Re: Three boxes of supplies have an average weight of 7 kgs and  [#permalink]

### Show Tags

Updated on: 28 Sep 2007, 11:30
1
varunk wrote:
Three boxes of supplies have an average weight of 7 kgs and a median weight of 9 Kgs. What is the maximum possible weight, in kilograms, of the lightest box?

1. 1
2. 2
3. 3
4. 4
5. 5

good one

x, 9, y --> in ascending order thus 9 is median
y is equal or greater than 9

x+9+y=21
x+y=12
in order for the lightest X to be max weigh heaviest Y should be 9 thus the lightest weighs then 3
C

Originally posted by Ravshonbek on 28 Sep 2007, 11:28.
Last edited by Ravshonbek on 28 Sep 2007, 11:30, edited 1 time in total.
Intern
Joined: 15 Mar 2007
Posts: 43
Re: Three boxes of supplies have an average weight of 7 kgs and  [#permalink]

### Show Tags

28 Sep 2007, 11:35
1
varunk wrote:
Three boxes of supplies have an average weight of 7 kgs and a median weight of 9 Kgs. What is the maximum possible weight, in kilograms, of the lightest box?

1. 1
2. 2
3. 3
4. 4
5. 5

It's 3.

Avg: [A + B + C]/3 = 21
Median = 9 ==> B = 9 ==> A + C = 12

Max value of A can be : 3
and the boxes are : 3, 9, 9
Intern
Joined: 05 Sep 2007
Posts: 37
Re: Three boxes of supplies have an average weight of 7 kgs and  [#permalink]

### Show Tags

28 Sep 2007, 11:43
Thanks folks, but I am confused...why is the the third number in ascending order is equal to 9...shouldn't it be 10 i.e. one more than the median...?
VP
Joined: 09 Jul 2007
Posts: 1022
Location: London
Re: Three boxes of supplies have an average weight of 7 kgs and  [#permalink]

### Show Tags

28 Sep 2007, 11:45
varunk wrote:
Thanks folks, but I am confused...why is the the third number in ascending order is equal to 9...shouldn't it be 10 i.e. one more than the median...?

yep it should be 10 but if we assume it is 10 then we end up with 2,9,10 but the only max it can get is 3 and 3,9,9 and the order is still in ascending form
Director
Joined: 08 Jun 2007
Posts: 535
Re: Three boxes of supplies have an average weight of 7 kgs and  [#permalink]

### Show Tags

28 Sep 2007, 12:30
varunk wrote:
Three boxes of supplies have an average weight of 7 kgs and a median weight of 9 Kgs. What is the maximum possible weight, in kilograms, of the lightest box?

1. 1
2. 2
3. 3
4. 4
5. 5

For lightest to have maximum weight , the third one should have the same weight as the middle one ( 9 )
that gives x + 9 + 9 = 3 * 7 => 3 answer
Director
Joined: 17 Sep 2005
Posts: 787
Re: Three boxes of supplies have an average weight of 7 kgs and  [#permalink]

### Show Tags

28 Sep 2007, 15:33
Ravshonbek wrote:
varunk wrote:
Thanks folks, but I am confused...why is the the third number in ascending order is equal to 9...shouldn't it be 10 i.e. one more than the median...?

yep it should be 10 but if we assume it is 10 then we end up with 2,9,10 but the only max it can get is 3 and 3,9,9 and the order is still in ascending form

Yes, this is the logic behind....

-Brajesh
SVP
Joined: 29 Mar 2007
Posts: 2373
Re: Three boxes of supplies have an average weight of 7 kgs and  [#permalink]

### Show Tags

28 Sep 2007, 19:10
varunk wrote:
Three boxes of supplies have an average weight of 7 kgs and a median weight of 9 Kgs. What is the maximum possible weight, in kilograms, of the lightest box?

1. 1
2. 2
3. 3
4. 4
5. 5

S/N=A

7=S/3 ---> S = 21.

So max weight will be 21-9+9 = 3.

Math Expert
Joined: 02 Sep 2009
Posts: 55277
Re: Three boxes of supplies have an average weight of 7 kgs and  [#permalink]

### Show Tags

25 Nov 2014, 04:41
1
OPEN DISCUSSION OF THIS QUESTION IS HERE: three-boxes-of-supplies-have-an-average-arithmetic-mean-105819.html
_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 11030
Re: Three boxes of supplies have an average weight of 7 kgs and  [#permalink]

### Show Tags

09 Apr 2019, 07:43
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Three boxes of supplies have an average weight of 7 kgs and   [#permalink] 09 Apr 2019, 07:43
Display posts from previous: Sort by