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20 Feb 2023, 02:30
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C
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Difficulty:
25%
(medium)
Question Stats:
76% (02:01) correct
24%
(01:48)
wrong
based on 63
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Rose grows two kinds of orchid plants, Phalaenopsises and Gongoras. Each of the orchids has either yellow or white flowers (but not both.) If Rose grows a total of 54 orchid plants, then how many of them are Phalaenopsises?
(1) Rose grows 14 Phalaenopsises that have white flowers.
(2) Among the orchids that Rose grows, the total number of Gongoras is 50% greater than the number of the Phalaenopsises that have yellow flowers.
(1) Rose grows 14 Phalaenopsises that have white flowers.
(2) Among the orchids that Rose grows, the total number of Gongoras is 50% greater than the number of the Phalaenopsises that have yellow flowers.
20 Feb 2023, 11:02
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Rose grows two kinds of orchid plants, Phalaenopsises and Gongoras. Each of the orchids has either yellow or white flowers (but not both.) If Rose grows a total of 54 orchid plants, then how many of them are Phalaenopsises?
P- white or yellow => say Pw and Py
G - white or yellow => say Gw and Gy
we need to find Pw+Py =?
(1) Rose grows 14 Phalaenopsises that have white flowers.
Pw = 14. Rest no information given. Statement 1 is not sufficient.
(2) Among the orchids that Rose grows, the total number of Gongoras is 50% greater than the number of the Phalaenopsises that have yellow flowers.
Gw + Gy = 1.5Py
and we know that, Pw +Py +Gw+Gy =54
=> Pw + 2.5Py = 54
From here we can't find Pw +Py as we don't know the value of either Pw or Py.
Statement 2 is Not sufficient
Statement 1 and 2 together
Pw =14.
So Py = (54-14)/2.5
= 16
Therefore Pw+Py = 14 +16 = 30.
Answer C
P- white or yellow => say Pw and Py
G - white or yellow => say Gw and Gy
we need to find Pw+Py =?
(1) Rose grows 14 Phalaenopsises that have white flowers.
Pw = 14. Rest no information given. Statement 1 is not sufficient.
(2) Among the orchids that Rose grows, the total number of Gongoras is 50% greater than the number of the Phalaenopsises that have yellow flowers.
Gw + Gy = 1.5Py
and we know that, Pw +Py +Gw+Gy =54
=> Pw + 2.5Py = 54
From here we can't find Pw +Py as we don't know the value of either Pw or Py.
Statement 2 is Not sufficient
Statement 1 and 2 together
Pw =14.
So Py = (54-14)/2.5
= 16
Therefore Pw+Py = 14 +16 = 30.
Answer C
23 Feb 2023, 02:25
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We know only two plants are grown P & G, each of them only have white or yellow flower. It is given total number of flower = 54. i.e \(Pw+Py+Gw+Gy=54\)
Pw - Phalaenopsises with white flower and similar is the notation for others too.
Question asks for Pw+Py
Statement 1 ----- Pw = 14 , We still need Py. Hence Insufficient
Statement 2 ----- Gongoras = 50% more than Py i.e Gw+Gy = \(\frac{3}{2}Py\) . We still need Pw. Hence Insufficient
Both Statement 1 and 2 ----- We know \(Pw+Py+Gw+Gy=54\). \(Pw = 14\) and \(Gw+Gy =\frac{3}{2}Py\). Using these values We have \(14+Py+\frac{3}{2}Py\)=54 , \(Py=16\) and \(Py+Pw=16+14=30\)
Hence C is answer.
Pw - Phalaenopsises with white flower and similar is the notation for others too.
Question asks for Pw+Py
Statement 1 ----- Pw = 14 , We still need Py. Hence Insufficient
Statement 2 ----- Gongoras = 50% more than Py i.e Gw+Gy = \(\frac{3}{2}Py\) . We still need Pw. Hence Insufficient
Both Statement 1 and 2 ----- We know \(Pw+Py+Gw+Gy=54\). \(Pw = 14\) and \(Gw+Gy =\frac{3}{2}Py\). Using these values We have \(14+Py+\frac{3}{2}Py\)=54 , \(Py=16\) and \(Py+Pw=16+14=30\)
Hence C is answer.
