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X: 2
Y: 4
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In a clinical trial of a new drug to treat a certain condition, 60% of the participants were given the new drug and the rest were given a placebo. Of the participants who were given the new drug, 2/3 showed improvement. Overall, 70% of the participants showed improvement.
Select from each drop-down menu the option that creates the most accurate statement based on the information provided.
The number of participants who were given the new drug and showed improvement was "X" times the number who were given the drug and did not show improvement and "Y" times the number who were not given the new drug and did not show improvement.
Select from each drop-down menu the option that creates the most accurate statement based on the information provided.
The number of participants who were given the new drug and showed improvement was "X" times the number who were given the drug and did not show improvement and "Y" times the number who were not given the new drug and did not show improvement.
| X | Y | |
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
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| 6 |
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Official Answer
X: 2
Y: 4
22 Nov 2020, 09:56
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Hi Mike20201
The number of participants who were given the new drug and showed improvement = 40%
The number of participants who were given the drug and did not show improvement = 20%
X = 40%/20% = 2
The number of participants who were given the new drug and showed improvement = 40%
The number of participants who were not given the new drug and did not show improvement = 10%
Y = 40%/10% = 4
(X,Y) = (2,4)
| New drug | Placebo | Total | |
| Improvement | (2/3)*60%=40% | 70%-40%=30% | 70% |
| No improvement | 60%-40%=20% | 40%-30%=10% | 30% |
| Total | 60% | 100%-60%=40% | 100% |
The number of participants who were given the new drug and showed improvement = 40%
The number of participants who were given the drug and did not show improvement = 20%
X = 40%/20% = 2
The number of participants who were given the new drug and showed improvement = 40%
The number of participants who were not given the new drug and did not show improvement = 10%
Y = 40%/10% = 4
(X,Y) = (2,4)
Mike20201
22 Nov 2020, 10:24
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Mike20201
Hello, Mike20201. With IR questions, you have to be absolutely certain that you are reading the question correctly, or the section will be a nightmare. In this question, if you find that an algebraic approach eludes you, you can easily break down the percentages by choosing an arbitrary number such as 100 (since percent literally means for each one hundred) and counting up participants that would fall into each category.
Fact #1: 60% of the participants were given the new drug
Translation: 60 participants were given the new drug
Deduction: 40 participants were NOT given the new drug (those who were given a placebo instead)
Fact #2: Of the participants who were given the new drug, 2/3 showed improvement
Translation: Of the 60 participants given the new drug, 2/3, or 40 of them, showed improvement
Math:
\(\frac{2}{3}*60=40\)
Fact #3: Overall, 70% of the participants showed improvement
Translation: Overall, 70 out of 100 participants showed improvement
Deduction: 30 of the 40 participants from the placebo group showed improvement
Math (40 from the drug group and some unknown P from the placebo group):
\(40+P=70\)
\(P=30\)
Now, we are ready to tackle the question. We have no punctuation to lean on for a natural pause to stop and process, but we do have the conjunction and before the "Y" part, so we can stop there and process the first half before jumping across the connector.
Question, Part 1: The number of participants who were given the new drug and showed improvement was "X" times the number who were given the drug and did not show improvement
Translation: The 40 participants who were given the new drug AND showed improvement was _____ times the 20 who were given the new drug AND did NOT show improvement
X = 2
Question, Part 2: [The number of participants who were given the new drug and showed improvement was] "Y" times the number who were not given the new drug and did not show improvement
Translation: The 40 participants who were given the new drug AND showed improvement was _____ times the 10 who were NOT given the new drug and did NOT show improvement
Y = 4
The answer should be X = 2, Y = 4. The takeaway is that it is fine to take a little time to process a bit of information at a time as you encounter it, rather than attempting to put everything together all at once. You will definitely increase your accuracy on IR questions, and believe it or not, you will probably spend less time solving the question, since you will no longer need to bounce around to different parts of the screen to make sense of the given information.
I hope that helps. Good luck with your studies.
- Andrew
