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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: 51101
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, 21:51
00:00

Difficulty:

35% (medium)

Question Stats:

82% (00:53) correct 18% (01:29) wrong based on 30 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

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Joined: 15 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, 05:04
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 04 Dec 2017, 23:44.
Last edited by Vorovski on 05 Dec 2017, 05:04, edited 1 time in total.
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Joined: 21 May 2013
Posts: 653
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, 02:48
1
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: 152
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, 04:52
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: 170
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, 00:38
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 &nbs [#permalink] 06 Dec 2017, 00:38
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