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20 Mar 2024, 13:18
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Question Stats:
75% (01:13) correct
25% (01:17) wrong based on 4 sessions
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There are at least 200 apples in a grocery store. The ratio of the number of oranges to the number of apples is 9 to 10. How many oranges could there be in the store?
Indicate all possible choices.
A. 171
B. 180
C. 216
D. 252
E. 315
Indicate all possible choices.
A. 171
B. 180
C. 216
D. 252
E. 315
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Official Answer
B,C,D,E
12 Apr 2024, 16:26
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Ratio of oranges to apples is 9:10, so oranges should be a multiple of 9..
Here all choices are multiple of 9 so all fit in the bill on this aspect.
Now atleast means there would be a lower range..
So let comm ratio be x so 9x : 10x....
If \(10x/geq{200}.....x/geq{20}\)..
So lowest value of x is 20, so least number of oranges is 9x=9*20=180
So A is out
Ans B,C,D,E
Here all choices are multiple of 9 so all fit in the bill on this aspect.
Now atleast means there would be a lower range..
So let comm ratio be x so 9x : 10x....
If \(10x/geq{200}.....x/geq{20}\)..
So lowest value of x is 20, so least number of oranges is 9x=9*20=180
So A is out
Ans B,C,D,E
23 Jun 2024, 12:09
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Official Explanation
You know that the ratio of oranges to apples is 9 to 10 and that there are at least 200 apples. The ratio tells you that there are more apples than oranges. At the minimum, there must be 180 oranges to satisfy the proportion \(\frac{9}{10}=\frac{180}{200}.\) There could be more than 200 apples, so any number of oranges greater than 180 for which the ratio 9:10 applies is also correct. All of the choices are multiples of 9, so the correct choices are (B), (C), (D), and (E).
You know that the ratio of oranges to apples is 9 to 10 and that there are at least 200 apples. The ratio tells you that there are more apples than oranges. At the minimum, there must be 180 oranges to satisfy the proportion \(\frac{9}{10}=\frac{180}{200}.\) There could be more than 200 apples, so any number of oranges greater than 180 for which the ratio 9:10 applies is also correct. All of the choices are multiples of 9, so the correct choices are (B), (C), (D), and (E).
