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A bud vase that has a depth of 10 inches is filled with water to a dep

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Math Expert
Joined: 02 Sep 2009
Posts: 44654
A bud vase that has a depth of 10 inches is filled with water to a dep [#permalink]

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04 Dec 2017, 22:51
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Question Stats:

70% (00:43) correct 30% (01:34) wrong based on 27 sessions

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A bud vase that has a depth of 10 inches is filled with water to a depth of 8 inches. If a rose with a stem 12 inches long stands vertically in the vase, what fraction of the rose's stem is inside the vase, but not in the water?

(A) 1/6
(B) 1/5
(C) 1/4
(D) 1/3
(E) 1/2
[Reveal] Spoiler: OA

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Joined: 16 Oct 2017
Posts: 30
Location: Ireland
Concentration: Healthcare, Finance
A bud vase that has a depth of 10 inches is filled with water to a dep [#permalink]

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Updated on: 05 Dec 2017, 06:04
Bunuel wrote:
A bud vase that has a depth of 10 inches is filled with water to a depth of 8 inches. If a rose with a stem 12 inches long stands vertically in the vase, what fraction of the rose's stem is inside the vase, but not in the water?

(A) 1/6
(B) 1/5
(C) 1/4
(D) 1/3
(E) 1/2

The length of the rose that can be inside the vase is 10. The stem is not in the water but inside the vase is 2. The fraction is $$\frac{2}{12} = \frac{1}{6}$$

A

Thanks KS15

Originally posted by Vorovski on 05 Dec 2017, 00:44.
Last edited by Vorovski on 05 Dec 2017, 06:04, edited 1 time in total.
Director
Joined: 21 May 2013
Posts: 620
Re: A bud vase that has a depth of 10 inches is filled with water to a dep [#permalink]

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05 Dec 2017, 03:48
1
KUDOS
Vorovski wrote:
Bunuel wrote:
A bud vase that has a depth of 10 inches is filled with water to a depth of 8 inches. If a rose with a stem 12 inches long stands vertically in the vase, what fraction of the rose's stem is inside the vase, but not in the water?

(A) 1/6
(B) 1/5
(C) 1/4
(D) 1/3
(E) 1/2

The length of the rose that can be inside the vase is 10. The stem is not in the water but inside the vase is 2. The fraction is $$\frac{2}{10} = \frac{1}{5}$$

B

I think answer should be A not be -we need fraction of the rose's stem i.e out of 12 inches, 10 is inside>2 out of this 10 is not in water and therefore 2/12=1/6
Manager
Joined: 24 Nov 2016
Posts: 148
Re: A bud vase that has a depth of 10 inches is filled with water to a dep [#permalink]

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05 Dec 2017, 05:52
Bunuel wrote:
A bud vase that has a depth of 10 inches is filled with water to a depth of 8 inches. If a rose with a stem 12 inches long stands vertically in the vase, what fraction of the rose's stem is inside the vase, but not in the water?

(A) 1/6
(B) 1/5
(C) 1/4
(D) 1/3
(E) 1/2

What fraction of the rose's stem (stem = 12") is inside the vase (vase = 10") but not in the water (water = 8").
So the fraction is: $$\frac{(10-8)}{12}=\frac{1}{6}$$
Manager
Joined: 01 Feb 2017
Posts: 105
A bud vase that has a depth of 10 inches is filled with water to a dep [#permalink]

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06 Dec 2017, 01:38
Fraction of the rose's stem inside the vase, but not in the water=
(Length of stem inside vase but outside water) / (Total Length of the stem)

= (10-2)/12 = 2/12= 1/6

Ans A

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A bud vase that has a depth of 10 inches is filled with water to a dep   [#permalink] 06 Dec 2017, 01:38
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