GMAT Practice Question: A set of numbers has the property that for any number t in the set, t+2...
Question
A set of numbers has the property that for any number t in the set, t+2 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
- I only
- II only
- I and II only
- II and III only
- I, II, and III
Topics: patterns, sequences & series
Solution
Step 1
We apply the given property to t = -1 to find the next number in the set
-1 + 2 = 1
Step 2
We apply the given property to t = 1 to find the next number in the set
1 + 2 = 3
Step 3
We apply the property again to t = 3 to find the next number in the set
3 + 2 = 5
Step 4
Statement I requires going backwards (subtracting 2), but the property only guarantees adding 2, not subtracting
-1 - 2 = -3
Answer
D. II and III only
