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20 Jan 2021, 01:15
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
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Question Stats:
68% (01:25) correct
32%
(01:55)
wrong
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Gurdeep is organizing his sunflower seeds, petunia seeds, and daffodil seeds by volume. If the combined volume of all three seeds is 66 cm^3, what is the volume of his daffodil seeds?
(1) The volume of the petunia seeds is 10 percent of the combined volume of the sunflower and daffodil seeds
(2) The volume of the daffodil seeds is 20 percent of the combined volume of the sunflower and petunia seeds
Are You Up For the Challenge: 700 Level Questions
(1) The volume of the petunia seeds is 10 percent of the combined volume of the sunflower and daffodil seeds
(2) The volume of the daffodil seeds is 20 percent of the combined volume of the sunflower and petunia seeds
Are You Up For the Challenge: 700 Level Questions
20 Jan 2021, 02:43
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The answer is B
Let the volume of petunia seed = p
Let the volume of sunflower seed = s
Let the volume of daffodil seed = d
Therefore, p+s+d = 66
According to statement 1,
The volume of petunia seeds is 10 percent of the combined volume of sunflower and daffodil seeds.
Therefore, p = 0.1s + 0.1d
Therefore, 0.1s + 0.1d + s+ d = 66 --> 1.1s + 1.1d = 66 --> d = (66 - 1.1s)/1.1 ....that is statement 1 is not sufficient
According to statement 2,
The volume of the daffodil seed is 20 percent of the combined volume of sunflower and petunia seeds.
d = 0.2s +0.2p
We know that p+s+d = 66 ---> p = 66 - s - d
d = 0.2s +0.2p --> d = 0.2s + 0.2*(66-s-d) --> d = 13.2 - 0.2d --> d = 13.2/1.2 = 11....So, statement 2 is sufficient
Let the volume of petunia seed = p
Let the volume of sunflower seed = s
Let the volume of daffodil seed = d
Therefore, p+s+d = 66
According to statement 1,
The volume of petunia seeds is 10 percent of the combined volume of sunflower and daffodil seeds.
Therefore, p = 0.1s + 0.1d
Therefore, 0.1s + 0.1d + s+ d = 66 --> 1.1s + 1.1d = 66 --> d = (66 - 1.1s)/1.1 ....that is statement 1 is not sufficient
According to statement 2,
The volume of the daffodil seed is 20 percent of the combined volume of sunflower and petunia seeds.
d = 0.2s +0.2p
We know that p+s+d = 66 ---> p = 66 - s - d
d = 0.2s +0.2p --> d = 0.2s + 0.2*(66-s-d) --> d = 13.2 - 0.2d --> d = 13.2/1.2 = 11....So, statement 2 is sufficient
Updated on: 20 Jan 2021, 14:24
Originally posted by GMATGuruNY on 20 Jan 2021, 06:00.
Last edited by GMATGuruNY on 20 Jan 2021, 14:24, edited 1 time in total.
Last edited by GMATGuruNY on 20 Jan 2021, 14:24, edited 1 time in total.
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Bunuel
Statement 1:
\(\frac{p}{s+d} = \frac{10}{100} = \frac{1}{10}\)
Of every 11 cm^3, p = 1 cm^3 and s+d = 10 cm^3, implying that s+d constitutes 10/11 of the total volume.
No way to determine the value of d.
INSUFFICIENT.
Statement 2:
\(\frac{d}{s+p} = \frac{20}{100} = \frac{1}{5}\)
Of every 6 cm^3, d = 1 cm^3 and s+p = 5 cm^3, implying that d constitutes 1/6 of the total volume:
\(d = \frac{1}{6 }* 66 = 11\) cm^3
SUFFICIENT.
