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Interview Question for Project Manager/Implementation Consultant at Epic:
You have a bouquet of flowers. All but two are roses, all but two are daisies, and all but two are tulips. How many flowers do you have?
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9 of 9 people found this helpful
If the problem requires that all flowers are R, D or T, then one of each will work. Three.
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19 of 19 people found this helpful
Roses = All but 2 = Two flowers are not a rose; one tulip, one daisy
Daisies = All but 2 = Two flowers are not a daisy; one rose, one tulip
Tulips = All but 2 = Two flowers are not a tulip; one rose, one daisy
Answer: One rose, one daisy, one tulip.
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6 of 7 people found this helpful
If I have 3 things, say a tire iron, a hammer and a hedgehog, I can accurately say that all but two are tire irons
If I had six (let's say two of each of the above) and said all but two are tire irons, this fails. I have six objects, two of which are tire irons - the math shows that four items are not tire irons
The answer only works at 3
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n - 2 = t (the number of tulips)
n - 2 = d (the number of daisies)
n - 2 = r ( the number of roses)
The question is: are there only roses, daisies and tulips in the bouquet ?
If yes we also have a fourth equation:
r + d + t = n
In this case we add the three equations above and we get
3n -6 = n (because n = r + d + t)
2n = 6
n = 3
If there are more than daisies, tulips and roses in the bouquet we have a system of three equations with four unknowns so the solution space is infinite.
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your math is great here, but it is NOT possible to have the 4th kind of flowers because
it says:
a) all but 2 are roses - in this case we can have at most 3 kind of flowers
the same for the other cases, in conclusion we have only 3 kind of flowers and from your math we can say we have 1 of each kind.
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If R=roses, T=tulips, D=daisies and X = # in bouquet; where R, T, D, and X are whole numbers greater than 0 and assuming that there are said flowers in the bouquet.
then R+2=X, T+2=X, D+2=X
then R+2=T+2=D+2
therefore R=T=D, R+T+D=X, R+T=2; T+D=2, D+R=2
T=2-R and D=2-R
therfore
R must be less than 2 but greater than 0,
then R=1
therefore
T=1 and D=1
R+T+D=X
X=3,
If there are none of said flowers in bouquet then total number is 2.
There is no other answer available with the question worded this way.
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