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04 Feb 2024, 13:52
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Difficulty:
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Question Stats:
91% (00:48) correct
9%
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wrong
based on 67
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R and S are sets consisting of integers. Is every integer that is in set R also in set S?
(1) There are exactly 3 integers in set R.
(2) Set R and set S have exactly 3 integers in common.
Source: GMAT Prep (original GMAT prep - practice exam 4)
(1) There are exactly 3 integers in set R.
(2) Set R and set S have exactly 3 integers in common.
Source: GMAT Prep (original GMAT prep - practice exam 4)
04 Feb 2024, 14:25
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R and S are sets consisting of integers. Is every integer that is in set R also in set S?
The key to getting this question correct is being clear about the question asked.
We could easiy get confused into thinking that the question is something other than what's asked. For instance, we might think that it is "Is every integer in set R and set S the same?"
(1) There are exactly 3 integers in set R.
This tells us nothing about the integers in set S. So, it doesn't indicate whether integers in S are the ones in R.
Insufficient.
(2) Set R and set S have exactly 3 integers in common.
This statement tells us that the two sets have some integers in common. However, R could contain more than 3 integers. So, S may or may not contain every integer that's in R.
Insufficient.
Statements (1) and (2) combined
Statement (1) tells us that R has 3 integers, and Statement (2) tells us that all 3 of those integers are also in S.
Thus, the statetments together tell us that, yes, every integer that is in set R is also in set S.
Sufficient.
Correct answer:
The key to getting this question correct is being clear about the question asked.
We could easiy get confused into thinking that the question is something other than what's asked. For instance, we might think that it is "Is every integer in set R and set S the same?"
(1) There are exactly 3 integers in set R.
This tells us nothing about the integers in set S. So, it doesn't indicate whether integers in S are the ones in R.
Insufficient.
(2) Set R and set S have exactly 3 integers in common.
This statement tells us that the two sets have some integers in common. However, R could contain more than 3 integers. So, S may or may not contain every integer that's in R.
Insufficient.
Statements (1) and (2) combined
Statement (1) tells us that R has 3 integers, and Statement (2) tells us that all 3 of those integers are also in S.
Thus, the statetments together tell us that, yes, every integer that is in set R is also in set S.
Sufficient.
Correct answer:
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