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10 Mar 2024, 03:28
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
67% (00:41) correct
33%
(00:54)
wrong
based on 39
sessions
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A set of numbers has a property that for any number t in the set, t + 1 is also in the set. Is 3 in the set?
(1) 1 is in the set
(2) 4 is in the set
(1) 1 is in the set
(2) 4 is in the set
Found this question in someone's notes. I am not very sure if the Original Answer that I saw is correct or not so open to discusssion.
10 Mar 2024, 03:46
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A set of numbers has a property that for any number t in the set, t + 1 is also in the set. Is 3 in the set?
(1) 1 is in the set
Since 1 is in the set, then so must be 1 + 1 = 2 in the set, and since 2 is in the set, then so must be 2 + 1 = 3 in the set. Sufficient.
(2) 4 is in the set
The presence of 4 in the set does not necessarily imply that 3 is also in the set. For example, the set could be {4, 5, 6, ...}. Hence, this statement alone is not sufficient.
Answer: A.
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DS:
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PS:
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Hope it helps.
(1) 1 is in the set
Since 1 is in the set, then so must be 1 + 1 = 2 in the set, and since 2 is in the set, then so must be 2 + 1 = 3 in the set. Sufficient.
(2) 4 is in the set
The presence of 4 in the set does not necessarily imply that 3 is also in the set. For example, the set could be {4, 5, 6, ...}. Hence, this statement alone is not sufficient.
Answer: A.
Check similar questions for more:
DS:
https://gmatclub.com/forum/if-p-is-a-se ... 96630.html
https://gmatclub.com/forum/k-is-a-set-o ... 03005.html
https://gmatclub.com/forum/k-is-a-set-o ... 66908.html
PS:
https://gmatclub.com/forum/set-m-contai ... 39045.html
https://gmatclub.com/forum/for-a-certai ... 61920.html
https://gmatclub.com/forum/for-a-certai ... 61920.html
https://gmatclub.com/forum/for-a-certai ... 36580.html
https://gmatclub.com/forum/a-set-of-num ... 68728.html
Hope it helps.
10 Mar 2024, 03:47
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sset92
Statement 1
(1) 1 is in the set
If 1 is there in the set, 2 is also there in the set ⇒ If 2 is there in the set, 3 is also there in the set
Hence, this statement is sufficient.
Statement 2
(2) 4 is in the set
Assume that the set has numbers below 4. For example, the set consists of 1
If 1 is there in the set, 2 is also there in the set ⇒ If 2 is there in the set, 3 is also there in the set
On the contrary, if the minimum number in the set is 4, the set would consist of all integers greater than or equal to 4. Hence, the set will not consist of 3.
The statement alone is not sufficient.
Option A
Here is a better version of the question:
https://gmatclub.com/forum/a-set-of-num ... 68728.html
