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23 Sep 2024, 01:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
69% (01:48) correct
31%
(01:40)
wrong
based on 163
sessions
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The average weight of n students in a certain class was 24 kg. A new student named Jack joined the class and one existing student named Carol left the class. What is the new average?
(1) Carol's weight was 1 kg more than that of Jack.
(2) Carol's weight was 24 kg.
(1) Carol's weight was 1 kg more than that of Jack.
(2) Carol's weight was 24 kg.
This is a Data Sufficiency Butler Question
Check the links to other Butler Projects:
Check the links to other Butler Projects:
- Data Sufficiency Butler
- Problem Solving Butler
- Sentence Correction Butler
- Reading Comprehension Butler
- Integrated Reasoning Butler
24 Sep 2024, 10:27
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From statement 1,
if Jacks weight is x
Carol's weight is x+1
So after Carol leaves and Jack joins, the average = \(\frac{24n+x-(x+1)}{n} = \frac{24n-1}{n}\)
Shouldn't this be sufficient?
And from statement 2,
doesn't say anything specific about Jack. So not sufficient.
But, Isn't the answer => \(\frac{24n-1}{n}\) from statement 1?
The question stated n students without any number anyway, do we need to figure out n and there's no clue about that, and that is why the answer is E?
Bunuel Can you help please?
if Jacks weight is x
Carol's weight is x+1
So after Carol leaves and Jack joins, the average = \(\frac{24n+x-(x+1)}{n} = \frac{24n-1}{n}\)
Shouldn't this be sufficient?
And from statement 2,
doesn't say anything specific about Jack. So not sufficient.
But, Isn't the answer => \(\frac{24n-1}{n}\) from statement 1?
The question stated n students without any number anyway, do we need to figure out n and there's no clue about that, and that is why the answer is E?
Bunuel Can you help please?
24 Sep 2024, 10:42
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Bunuel
Statement 1:
We can infer that the new total weight of the n students is 24*n-1, however in order to know the average we need the number of students, suppose for a moment that n=1 (this is not necessary, any arbitrary value can be taken but it's just to amplify the effect), thus Carol was the only student which was then replaced by Jack, then the average would drop by a whole kilogram, if we instead say that n=10 then the average would drop by a mere 100 grams.
Statement 2:
Similarly to statement 1 we can't say the number of students n, nor we know the weight of Jack, if anything this statement is worse than statement 1.
Statement 1&2:
It should be clear that both statements together do not provide nearly enough information to answer the question
The answer is E.
