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In a group of 9 IT professionals, some work on VB, some work [#permalink]

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03 May 2007, 16:50

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E

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In a group of 9 IT professionals, some work on VB, some work on AS400, and some work on both. Each of the 9 IT professionals is involved in at least one of the projects - VB/AS400. How many IT professionals in the group work on both VB and AS400?

(1) Twice as many IT professionals in the group work on VB as work on AS400.
(2) 5 of IT professionals work on AS400.

Please explain the answer.

Last edited by vshaunak@gmail.com on 04 May 2007, 01:35, edited 1 time in total.

Utlising information in (1) i.e there are 2X people knowing VB/AS400 and assuming that atleast 1 person knows both, only way this is possible is 8 people working VB/AS400 and 4 people working other and 3 people doing both.

Question needs to be more specific

The reason C cannot be true is solving both equations, we get 2X=10 people, but there are only 9 in the team.

In a group of 9 IT professionals, some work on VB, some work on AS400, and some work on both. Each of the 9 IT professionals is involved in at least one of the projects - VB/AS400. How many IT professionals in the group work on both VB and AS400?
9 = (V - n) + (A - n) + n 9 = V + A - n , V = VB, A=AS, n= both in VB & AS to answer this set theory question, you need V, A & n

(1) Twice as many IT professionals in the group work on VB as work on AS400.
V = 2A Since there's 9 in the group, the possibilities are: V A n 4 2 3 2 1 6 Insufficient

(2) 5 of IT professionals work on AS400.
Don't know V or n Insufficient

Can you consider both? Using data from 2, the value A = 5 cannot be used to determine one of the possible choices since there's only 9 people. 2*5 = 10

In a group of 9 IT professionals, some work on VB, some work on AS400, and some work on both. Each of the 9 IT professionals is involved in at least one of the projects - VB/AS400. How many IT professionals in the group work on both VB and AS400? 9 = (V - n) + (A - n) + n 9 = V + A - n , V = VB, A=AS, n= both in VB & AS to answer this set theory question, you need V, A & n

(1) Twice as many IT professionals in the group work on VB as work on AS400. V = 2A Since there's 9 in the group, the possibilities are: V A n 4 2 3 2 1 6 Insufficient

(2) 5 of IT professionals work on AS400. Don't know V or n Insufficient

Can you consider both? Using data from 2, the value A = 5 cannot be used to determine one of the possible choices since there's only 9 people. 2*5 = 10

Hence, answer needs to be E

Possible values satisfying statement1 are-
V A n
8 4 3 ----> This is acceptable as n <= A and n <= V
10 5 6 ----> This is not acceptable as n>A and V > 9 (not possible)
If you draw the Venn Diagram you will come to know that the professionals working in both V and A can not be greater than any of V and A.
Any other values of A > 4 will not be acceptable because of the above reason.

So the only acceptable values are
V A n
8 4 3
Hence SUFF.

In a group of 9 IT professionals, some work on VB, some work on AS400, and some work on both. Each of the 9 IT professionals is involved in at least one of the projects - VB/AS400. How many IT professionals in the group work on both VB and AS400? 9 = (V - n) + (A - n) + n 9 = V + A - n , V = VB, A=AS, n= both in VB & AS to answer this set theory question, you need V, A & n

(1) Twice as many IT professionals in the group work on VB as work on AS400. V = 2A Since there's 9 in the group, the possibilities are: V A n 4 2 3 2 1 6 Insufficient

(2) 5 of IT professionals work on AS400. Don't know V or n Insufficient

Can you consider both? Using data from 2, the value A = 5 cannot be used to determine one of the possible choices since there's only 9 people. 2*5 = 10

Hence, answer needs to be E

Possible values satisfying statement1 are- V A n 8 4 3 ----> This is acceptable as n <= A and n <V> This is not acceptable as n>A and V > 9 (not possible) If you draw the Venn Diagram you will come to know that the professionals working in both V and A can not be greater than any of V and A. Any other values of A > 4 will not be acceptable because of the above reason.

So the only acceptable values are V A n 8 4 3 Hence SUFF.

I think you have a mistake:

possible values are:

VB:AS400

2:1 (sum is too small - can't be less then 9)

4:2 (sum is too small - can't be less then 9)

6:3 (can be true ! 0 people working on both)

8:4 (can be true ! 3 people working on both)

10:5 (can't be - (10+5)=15 , 15-9=6 meaning 6 people working on both since there are only 5 people at AS400 its false).

OA is 'A'.
This question is made by me. This is not from any official source. Hope you have enjoyed the question.

OE:
Possible values satisfying statement1 are-
x = work on AS400
2x = work on VB
y = common between above two
x+2x -y = 9
3x-y = 9
y should be multiple of 3 to have x integer
possible values of y are 3,6,9...etc.

putting these values in equation,
y=3, x =4, 2x=8
This is acceptable as y <= x and y <= 2x

y=6, x =5, 2x=10
This is not acceptable as y>x and 2x > 9 (not possible)
If you draw the Venn Diagram you will come to know that the professionals working in both VB and AS400 can not be greater than PROFESSIONALS working individually is any of VB and AS400.

Any other values of y > 3 will not be acceptable because of the above reason.

So the only acceptable values are
y=3, x =4, 2x=8
Hence SUFF.

Statement2:
There can be many numbers satisfying the condition. So INSUFF.

In a group of 9 IT professionals, some work on VB, some work on AS400, and some work on both. Each of the 9 IT professionals is involved in at least one of the projects - VB/AS400. How many IT professionals in the group work on both VB and AS400?

(1) Twice as many IT professionals in the group work on VB as work on AS400. (2) 5 of IT professionals work on AS400.

Please explain the answer.

Killer Squirrel 0 can not work for both.
Some should work in any way

In a group of 9 IT professionals, some work on VB, some work on AS400, and some work on both. Each of the 9 IT professionals is involved in at least one of the projects - VB/AS400. How many IT professionals in the group work on both VB and AS400?

(1) Twice as many IT professionals in the group work on VB as work on AS400. (2) 5 of IT professionals work on AS400.

Please explain the answer.

caas you are correct. but still i think that statement 1 & statement 2 are contradicting so the answer must be (E). vshaunak@gmail.com please acknowledge !