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# A set of numbers has the property that for any number t in

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Manager
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A set of numbers has the property that for any number t in [#permalink]

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15 Jul 2006, 19:06
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A set of numbers has the property that for any number t in the set, t + 2 is in the set. If â€“1 is in the set, which of the following must also be in the set?

I. -3
II. 1
III. 5

A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III

I got this one wrong because I assumed something... I am not sure if I was supposed to assume it or not... Please explain
Manager
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15 Jul 2006, 19:21
D

If -1 is in set, then 1 must be in the set
If 1 is in the set, then 3 must be in the set
if 3 is in the set, then 5 must be in the set

The question does not say that t-2 has to be in the set - only t+2. So (I) may, or may not be true.
Manager
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15 Jul 2006, 19:36
walletless wrote:
D

If -1 is in set, then 1 must be in the set
If 1 is in the set, then 3 must be in the set
if 3 is in the set, then 5 must be in the set

The question does not say that t-2 has to be in the set - only t+2. So (I) may, or may not be true.

I assumed that t+2 = -1, so therefore t had to be -3.
instead of t+2 = -1+2 = 1 and so on....

arrrhhhhh...
thanks walletless
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16 Jul 2006, 19:03
walletless wrote:
D

If -1 is in set, then 1 must be in the set
If 1 is in the set, then 3 must be in the set
if 3 is in the set, then 5 must be in the set

The question does not say that t-2 has to be in the set - only t+2. So (I) may, or may not be true.

I do not understand why 1 cannot be in the set. After all ,when you say that t-2 cannot be in the set, then even 3 shouldnt be there in the set because 5-2=3= (t-2). I think it definitely can.
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16 Jul 2006, 19:19
-1 is in the set, 1 must be in the set. And if 1 is in the set, 3 must be in and 5 must be in. -3 is subjective as -1 could be the first element of the set.

Ans: D
VP
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18 Jul 2006, 00:27
Yes got D.
It is not necessary that the set starts from -3. It is given that -1 is in the set, so it could be the very first element.
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18 Jul 2006, 02:52
Clear winner D.

You cannot assume that -3 is also in the set, just because -1 is in the set.
-1 could be first number in the set
Manager
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18 Jul 2006, 06:23
This is one of the questions where a little word makes a difference in the answer.

MUST vs. COULD

The questions asks "which of the following MUST also be in the set?"

In this case, +1 and +5 MUST be. So you can bet your life these numbers are going to be in the set.

However, -3 COULD BE part of the set but we need more information to be sure.

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18 Jul 2006, 06:38
D aswell.

t=-1
then -1+2=1
now t=1
then 1+2=3
now t=3
then 3+2=5
Manager
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18 Jul 2006, 13:42
Great Job guys!!!!

Everyone is a winner!!!
Manager
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18 Jul 2006, 17:52
gud thread acfuture..learnt from my mistake..
18 Jul 2006, 17:52
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