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Question
A set of numbers has the property that for any number in the set, is in the set. If -1 is in the set, which of the following must also be in the set?
I. -3
II. 1
III. 5

Answer Choices
- A.I only
- B.II only
- C.I and II only
- D.II and III only
- E.I, II, and III
Steps
| Explanation | Calculations | Help |
|---|---|---|
We apply the given property to to find the next number in the set | ||
We apply the given property to to find the next number in the set | ||
We apply the property again to to find the next number in the set | ||
Statement I requires going backwards (subtracting 2), but the property only guarantees adding 2, not subtracting | Theory & Tactics Method Card LOGIC1-A Click to view full details |
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Final Answer
D. II and III only
Question
A set of numbers has the property that for any number in the set, is in the set. If -1 is in the set, which of the following must also be in the set?
I. -3
II. 1
III. 5

Answer Choices
- A.I only
- B.II only
- C.I and II only
- D.II and III only
- E.I, II, and III
Steps
| Explanation | Calculations | Help |
|---|---|---|
We apply the given property to to find the next number in the set | ||
We apply the given property to to find the next number in the set | ||
We apply the property again to to find the next number in the set | ||
Statement I requires going backwards (subtracting 2), but the property only guarantees adding 2, not subtracting | Theory & Tactics Method Card LOGIC1-A Click to view full details |
Scroll horizontally to view all columns
Final Answer
D. II and III only