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Answer is C as both A & B are not sufficient.
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We don't know both but we don't need to know. A TOTAL of 15 rats have rashes. We don't know EXACTLY how many only has rashes, BUT We know it's 15-X (Total number of rats with rash minus number of rats with both rash and sluggishness). Look at my equation again. The X cancels out, so your only left with 200 = 15+175 + Only sluggishness
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Answer is C.

Statement 1: Not sufficient. Only know how many didn't have symptoms.

Statement 2: Not sufficient. Only know the amount of rats with rash.

Total = 100 = Only rash + only sluggishness + Neither + Both.
Total = 100 = [15 - X (Only rash)] + S (only sluggishness) + X (Both) + 175 (Neither)
Only Sluggishness = 15

A & B Alone are clearly not sufficient.
Using the formula:
Total = Rash+sluggishness+Neither-Both
200 = 15 + S + 175 - Both




Since we dont know the "both" , together A & B are also insufficient.

Answer is E.


Agreed. Since, it is not written in the question stem that 15 rats developed only rashes,we cannot assume the same. Out of those 15 rats who some might also have develped slugishness. We don't know A intersection B. :-D
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Please read my explanations more carefully. It's 100% C.
of-the-60-families-in-a-certain-neighborhood-38-have-a-cat-127091.html

Similar question same concept, except I actually drew a table for it.
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The answer is indeed C, but numerical value should be 10 instead of 15.

When 200 laboratory rats were given an experimental medicine, some developed a skin rash and some developed sluggishness. How many of the laboratory rats developed sluggishness but not a skin rash?

Given: 200 ={rash}+{sluggishness}-{both}+ {neither}.
Question: {sluggishness}-{both}=?

(1) 175 laboratory rats developed neither sluggishness nor a skin rash --> {Neither}=175 --> 200={rash} +{sluggishness}-{both}+175 --> 25={rash}+{sluggishness}-{both}. Not sufficient.

(2) 15 laboratory rats developed a skin rash --> {rash}=15. Clearly insufficient.

(1)+(2) From (1) 25={rash}+{sluggishness}-{both} and from (2) {rash}=15 --> 25=15+{sluggishness}-{both} --> {sluggishness}-{both}=10. Sufficient.

Answer: C.

Hope it's clear.
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Can someone please draw a matrix for this problem? I'm still getting E for some reason.
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Can someone please draw a matrix for this problem? I'm still getting E for some reason.

Check below:
Attachment:
Untitled.png
Untitled.png [ 5.05 KiB | Viewed 2408 times ]
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Got it wrong on the first time, but yes, the answer is C.

Actually we dont need to know how many rats experienced rash and sluggishness. Good questions.

rxs0005
When 200 laboratory rats were given an experimental medicine, some developed a skin rash and some developed sluggishness. How many of the laboratory rats developed sluggishness but not a skin rash?

(1) 175 laboratory rats developed neither sluggishness nor a skin rash.
(2) 15 laboratory rats developed a skin rash.
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