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When patients with clinical depression come to Royal Cornhill Mental..

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When patients with clinical depression come to Royal Cornhill Mental..  [#permalink]

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New post 22 Sep 2018, 23:09
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A
B
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Difficulty:

  75% (hard)

Question Stats:

58% (02:00) correct 42% (02:30) wrong based on 159 sessions

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When patients with clinical depression come to Royal Cornhill Mental Health Institute, they are first treated with psychotherapy and antidepressants. Only 40 percent respond to their first treatment. More than 20 percent of depressed people did not respond to any treatment.

If the information given above is true, which of the following statements must be true?

A. At least 60% of the patients who do not respond to the first treatment respond to some other treatment.
B. At least 30% of the patients who do not respond to the first treatment do not respond to the subsequent treatments as well.
C. Of the 40% patients who respond to their first treatment, at least 50% also respond to some other treatment.
D. Of the people who respond to some treatment, the proportion that responds to the first medication is the lowest.
E. Of the 20% patients who responded to no treatment at all, at least 10% would have responded to some treatment had it not included the use of antidepressants.
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Re: When patients with clinical depression come to Royal Cornhill Mental..  [#permalink]

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New post 22 Sep 2018, 23:18
B . 30% of 60% ppl is 18% who didn't respond to ny treatment. Already given this no is more than 20%

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When patients with clinical depression come to Royal Cornhill Mental..  [#permalink]

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New post 23 Sep 2018, 08:28
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The answer is B.
This is quite tricky - a CR question which is actually more like a quant question. solving requires carefully reviewing each answer:


If the information given above is true, which of the following statements must be true?

A. At least 60% of the patients who do not respond to the first treatment respond to some other treatment. we have no data on this
B. At least 30% of the patients who do not respond to the first treatment do not respond to the subsequent treatments as well. 30% of 60% is .3*.6=0.18=18% - while the stem tells us this group (did not respond to anything) is more than 20% - this must be true!
C. Of the 40% patients who respond to their first treatment, at least 50% also respond to some other treatment. -The issue is that we don't know how many don't respond at all: if it's only 20%, then 80% respond to something, meaning at least 20% are included in the 40% group who responded to the first treatment - that's 20%/40% - at least 50%! however, if say 60% don't respond at all, this means that 0 of the 40% do - no way of knowing!
D. Of the people who respond to some treatment, the proportion that responds to the first medication is the lowest. exactly the opposite - 40% responded to the first, and the absolute max that the group which responded at all is 80% - meaning they are AT LEAST 50% of this group - definitely the largest part!
E. Of the 20% patients who responded to no treatment at all, at least 10% would have responded to some treatment had it not included the use of antidepressants. This is completely hypothetical - we have absolutely no information on how these patients would have responded if things were different
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Re: When patients with clinical depression come to Royal Cornhill Mental..  [#permalink]

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New post 24 Sep 2018, 04:10
The answer is B as 30% of 60% is 18% - while the stem tells us that this group did not respond to anything is more than 20% - this must always be true!
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Re: When patients with clinical depression come to Royal Cornhill Mental.. &nbs [#permalink] 24 Sep 2018, 04:10
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