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Is 16 contained in the set S?

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MathRevolution
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Is 16 contained in the set S? [#permalink] New post   22 Aug 2016, 20:00
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60% (00:47) correct 40% (00:45) wrong based on 206 sessions
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Is 16 contained in the set S?
1) All the elements in the set S are the multiples of 4
2) All the elements in the set S are the square of integers

*An answer will be posted in 2 days.
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E
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Re: Is 16 contained in the set S? [#permalink] New post   23 Aug 2016, 01:30
MathRevolution wrote:
Is 16 contained in the set S?
1) All the elements in the set S are the multiples of 4
2) All the elements in the set S are the square of integers

*An answer will be posted in 2 days.


as per statement 1 : The possible values are 4,8,12,16,20...But there is no necessity that 16 must be a part of this set. There could be a set S={4,12,400} or S={4,16,1600}
NOT SUFFICIENT

as per statement 2: S can be {1,4,9,16} or {1,4,9,64}
NOT SUFFICIENT

Combining both, S can be {16,64,144} or {64,144}

Hence the answer is E.
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Re: Is 16 contained in the set S? [#permalink] New post   23 Aug 2016, 01:51
[quote="MathRevolution"]Is 16 contained in the set S?
1) All the elements in the set S are the multiples of 4
2) All the elements in the set S are the square of integers

Stat 1: We are not sure if 16 is part of the set, though 4 is multiple of 16....so 16 can be or can't be...insufficient.

Stat 2: Even here we are not sure about set whether 4 is present in the set...It can or it won't...Insufficient.

stat 1+2 : Both are probability cases...the set can have or cannot...we are not sure...Insufficient..

Option E is correct answer..
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Re: Is 16 contained in the set S? [#permalink] New post   24 Aug 2016, 19:10
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In the original condition, we have to find out all elements of the set S. Since there are many variables, there is a high chance that E is the correct answer. Using 1) & 2), we get S={16}. The answer is yes. When S={4}, the answer is no and the condition is not sufficient. Hence, the correct answer is E.

- Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
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Re: Is 16 contained in the set S? [#permalink] New post   24 Aug 2016, 19:28
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MathRevolution wrote:
Is 16 contained in the set S?
1) All the elements in the set S are the multiples of 4
2) All the elements in the set S are the square of integers

*An answer will be posted in 2 days.


Statement I: It is possible to have multiple of 4s without 16. For instance, 0,4,24,etc. Is is equally as possible to have 16 contained in the set, too. INSUF
Statement II: Square of integers could have 16 or it could have 25,36,49,etc. INSUF
Statement I & II: Square of integers include 4,9,16,25,36... or 4,9,25,36. INSUF

IMO C.
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Re: Is 16 contained in the set S? [#permalink] New post   06 Jun 2018, 03:03
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Re: Is 16 contained in the set S? [#permalink]
06 Jun 2018, 03:03
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