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An inventory of a neighborhood's trees found that 32 percent were coni
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05 Mar 2024, 11:01
05 Mar 2024, 11:01
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Difficulty:
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Question Stats:
32% (03:27) correct
68%
(03:46)
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based on 248
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An inventory of a neighborhood's trees found that 32 percent were conifers and most of the rest were deciduous. Among the conifers were 258 spruces and 112 pines, along with some cedars and other species. Most of the deciduous trees were oaks, but one in eight was a maple. Of the oaks, 65 percent were red oaks and 25 percent were white oaks. Of the maples, 20 percent were Japanese maples.
Select for A and for B two types of trees such that the ratio of the number of trees of the type selected for A to the number of trees of the type selected for B can be determined and is less than 1. Make only two selections, one in each column.
Select for A and for B two types of trees such that the ratio of the number of trees of the type selected for A to the number of trees of the type selected for B can be determined and is less than 1. Make only two selections, one in each column.
| A | B | |
| Cedars | ||
| Conifers | ||
| Deciduous trees | ||
| Japanese maples | ||
| Red oaks | ||
| Spruces |
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Official Answer
A: Japanese maples
B: Deciduous trees
Re: An inventory of a neighborhood's trees found that 32 percent were coni
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15 Mar 2024, 04:25
15 Mar 2024, 04:25
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Expert Reply
This is a question that has layers of complexity as listed below:
All in all, an amazing question that highlights the importance of ‘owning the dataset’, processing the information as we are reading by drawing inferences. It also showcases how with solid understanding of the dataset one can comfortably answer the question that is asked.
Tell me which layer(s) of complexity made this question difficult for you.
Happy learning!
Payal
- Sheer volume of information in the dataset that needs to be translated and visualized as a tree diagram with 4 layers of branches.
- Imprecise information about the quantity of the nodes. For some nodes, exact number is given, for some ratios are given, for some range is given.
- The question statement is not a straight forward one and hence needs translation to understand what is being asked.
- The processing of the choices utilizing the tree structure that is created requires skilled processing.
All in all, an amazing question that highlights the importance of ‘owning the dataset’, processing the information as we are reading by drawing inferences. It also showcases how with solid understanding of the dataset one can comfortably answer the question that is asked.
Tell me which layer(s) of complexity made this question difficult for you.
Happy learning!
Payal
An inventory of a neighborhood's trees found that 32 percent were coni
[#permalink]
05 Mar 2024, 11:04
05 Mar 2024, 11:04
1
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Expert Reply
Again a great question. can be done in exactly 30 seconds if understood well.
The question wants us to find a ratio that is determinable, so let us see each statement. Working on options directly would be a faster way.
An inventory of a neighborhood's trees found that 32 percent were conifers and most of the rest were deciduous.
We can just say that deciduous are anything greater than (100-32)/2 or >34 and \(\leq 100-32\)
Thus, no ratios can be found between conifers or its subpart and deciduous or its parts.
Among the conifers were 258 spruces and 112 pines, along with some cedars and other species.
We can find ratio between spruces and pines but nothing with total conifers or any other of its subparts.
Most of the deciduous trees were oaks, but one in eight was a maple.
Again use of 'most' restricts anyratio between deciduous and oaks or its sub parts. However ratio between deciduous and maple is given as 8:1.
Of the oaks, 65 percent were red oaks and 25 percent were white oaks. Of the maples, 20 percent were Japanese maples.
Ratio between Red oaks and white oaks is given but this cannot be connected to any other parts.
Also, Ratio between Japenese maples and total maples is given as 1:5
The ratios known are given in bold above
between spruces and pines....... Spruce is given in option but pine is not.
between deciduous and maple...... Deciduous is given but maple is not
between Red oaks and white oaks..... Red Oaks is given but White oaks is not given in the option
between Japenese maples and total maples....... Japenese maples is given but total maples is not given in the option
However, deciduous is related to maples, which is further related to japenese maples.
D:M = 8:1 and J:M = 1:5
D:M = 8:1 = 40:5 and J:M = 1:5. Hence D:M:J = 40:5:1 or D:J = 40:1
The question wants us to find a ratio that is determinable, so let us see each statement. Working on options directly would be a faster way.
An inventory of a neighborhood's trees found that 32 percent were conifers and most of the rest were deciduous.
We can just say that deciduous are anything greater than (100-32)/2 or >34 and \(\leq 100-32\)
Thus, no ratios can be found between conifers or its subpart and deciduous or its parts.
Among the conifers were 258 spruces and 112 pines, along with some cedars and other species.
We can find ratio between spruces and pines but nothing with total conifers or any other of its subparts.
Most of the deciduous trees were oaks, but one in eight was a maple.
Again use of 'most' restricts anyratio between deciduous and oaks or its sub parts. However ratio between deciduous and maple is given as 8:1.
Of the oaks, 65 percent were red oaks and 25 percent were white oaks. Of the maples, 20 percent were Japanese maples.
Ratio between Red oaks and white oaks is given but this cannot be connected to any other parts.
Also, Ratio between Japenese maples and total maples is given as 1:5
The ratios known are given in bold above
between spruces and pines....... Spruce is given in option but pine is not.
between deciduous and maple...... Deciduous is given but maple is not
between Red oaks and white oaks..... Red Oaks is given but White oaks is not given in the option
between Japenese maples and total maples....... Japenese maples is given but total maples is not given in the option
However, deciduous is related to maples, which is further related to japenese maples.
D:M = 8:1 and J:M = 1:5
D:M = 8:1 = 40:5 and J:M = 1:5. Hence D:M:J = 40:5:1 or D:J = 40:1
