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Data set M consist of distinct negative integers. What is the value of

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Data set M consist of distinct negative integers. What is the value of  [#permalink]

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New post 21 Dec 2018, 05:10
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Data set M consist of distinct negative integers. What is the value of the greatest number in set M?

(1) Every number of set M is the product of -1 and a prime number.
(2) One of the numbers in set M is even.

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Re: Data set M consist of distinct negative integers. What is the value of  [#permalink]

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New post 21 Dec 2018, 05:27
Data set M consist of distinct negative integers. What is the value of the greatest number in set M?

(1) Every number of set M is the product of -1 and a prime number.

The set can be {-5,-7,-19} or {-3,-11,-13} i.e. Not sufficient


(2) One of the numbers in set M is even.

The set can be {-8,-9,-11,-15,-18} or {-3,-4,-6,-77} i.e. not sufficient

Combining 1 and 2, we know there is only one even prime number that's 2. and only negative number bigger that -2 is -1 which isn't prime. So -2 is the answer to the question asked, hence Sufficient

Option C

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Re: Data set M consist of distinct negative integers. What is the value of  [#permalink]

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New post 24 Dec 2018, 00:16
Bunuel wrote:
Data set M consist of distinct negative integers. What is the value of the greatest number in set M?

(1) Every number of set M is the product of -1 and a prime number.
(2) One of the numbers in set M is even.


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Re: Data set M consist of distinct negative integers. What is the value of  [#permalink]

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New post 29 Dec 2018, 05:18
Lets see what we can observe from the question stem.

First, set M can look something like this: M={-1, -2, -3...} but we don't actually know what numbers it will have. Second, if at all the set does look like our example, the greatest number in the set will actually be -1. These two observations are important to keep in mind so that we don't make silly mistakes while actually solving the question.

Statement 1: If every number to be product of -1 and a prime number, we can have set M to look like this: M={-2, -3, -5..}. Notice that we don't include -1 here since 1 is neither prime nor composite and hence -1*1 is not included. Additionally, notice that are not sure if M will in fact contain these numbers because M could also look like this: M={-17, -19, -23..}. Thus, because we cannot necessarily ascertain the greatest number in the set, this statement is insufficient

Statement 2: This statement again gives us many possibilities of what M could look like. It could be M={-2, -5, -7...} or even M={-17, -20, -21..}. Again, this statement is insufficient

If we combine statement 1 and 2, we certainly get -2 in the set. This is because -2 satisfies statement 1 (-1*2 (=prime number)) and satisfies statement 2 (-2 is the only even number that will be in the set defined by statement 1.

Thus answer is C
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Re: Data set M consist of distinct negative integers. What is the value of &nbs [#permalink] 29 Dec 2018, 05:18
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