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30 Jun 2022, 15:15
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A
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Difficulty:
75%
(hard)
Question Stats:
39% (01:28) correct
61%
(01:25)
wrong
based on 99
sessions
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Q is a set of integers and 11 is in Q. Let Q denote any element in the Q set. Is every positive multiple of 11 in Q?
(1) Q + 11 is in Q.
(2) Q - 11 is in Q.
Are You Up For the Challenge: 700 Level Questions
(1) Q + 11 is in Q.
(2) Q - 11 is in Q.
Are You Up For the Challenge: 700 Level Questions
02 Jul 2022, 06:31
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Bunuel
Set Theory:
We already know 11 is in the set and that must be our starting point.
Statement 1 Alone:
Since 11 is in the set, 22 would be in the set. Since 22 is in the set, 33 would also be in this set according to this rule. Since 33 is in the set, 44 is also in the set, etc. As we can see, from extrapolation this rule allows all multiples of 11 to be in the set. Thus statement 1 alone is sufficient.
Statement 2 Alone:
Since 11 is in the set, 0 would be in the set. Since 0 is in the set, -11 would also be in the set. We can only guarantee negative multiples of 11 are in the set, and we cannot infer whether all positive multiples of 11 are in the set. Thus statement 2 alone is insufficient.
Answer: A
23 Jul 2023, 23:30
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