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# patients at a hospital

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Intern
Joined: 23 Jul 2018
Posts: 8
Location: India
Schools: Wharton '21
GMAT 1: 650 Q47 V32
GPA: 3.95

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20 Jun 2019, 11:42
1
00:00

Difficulty:

95% (hard)

Question Stats:

25% (02:32) correct 75% (01:59) wrong based on 12 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?

At least 60% of the patients who do not respond to the first treatment respond to some other treatment.

At least 30% of the patients who do not respond to the first treatment do not respond to the subsequent treatments as well.

Of the 40% patients who respond to their first treatment, at least 50% also respond to some other treatment

Of the people who respond to some treatment, the proportion that responds to the first medication is the lowest.

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.

kindly explain.
Math Expert
Joined: 02 Sep 2009
Posts: 56304
Re: patients at a hospital  [#permalink]

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20 Jun 2019, 12:11
samarthsaxena1991 wrote:
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?

At least 60% of the patients who do not respond to the first treatment respond to some other treatment.

At least 30% of the patients who do not respond to the first treatment do not respond to the subsequent treatments as well.

Of the 40% patients who respond to their first treatment, at least 50% also respond to some other treatment

Of the people who respond to some treatment, the proportion that responds to the first medication is the lowest.

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.

kindly explain.

Discussed here: https://gmatclub.com/forum/when-patient ... 76930.html
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Re: patients at a hospital   [#permalink] 20 Jun 2019, 12:11
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