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If p, q and r are positive even integers and 2<p<q<r

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If p, q and r are positive even integers and 2<p<q<r  [#permalink]

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New post 27 Aug 2017, 10:55
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If p, q and r are positive even integers and 2<p<q<r, what is the value of r?

(1) r < 10
(2) p < 6
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Re: If p, q and r are positive even integers and 2<p<q<r  [#permalink]

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New post 27 Aug 2017, 11:13
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If p, q and r are positive even integers such that 2<p<q<r,
we need to find the value of r.

1. r < 10
The minimum value that p could be is 4, q can be 6 and r can be 8
Therefore, this is the only possibility and r=8 (Sufficient)
2. p < 6
Just knowing that the value of p must be less than 6,
we can only ascertain the value of p to be 4.
q and r can be any value and we cannot clearly tell what the
value of r can be. (Insufficient) (Option A)
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Re: If p, q and r are positive even integers and 2 [#permalink]

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New post 27 Aug 2017, 11:17
Statement 1 explicitly giving the value of all the three possible even integers between 2 and 10

Statement 2 gives p value 4. But q and r can have multiple values. Hence insufficient.

Option A
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Re: If p, q and r are positive even integers and 2<p<q<r  [#permalink]

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New post 28 Aug 2017, 18:12
robertops wrote:
If p, q and r are positive even integers and 2<p<q<r, what is the value of r?

(1) r < 10
(2) p < 6


\(2<p<q<r\)

Given \(p\), \(q\) and \(r\) are positive even integers.

(1) \(r < 10\)

Only even positive integers between \(2\) and \(10\) are \(4,6\) and \(8\).

Hence values of \(p\), \(q\) and \(r\) respectively \(= 4,6\) and \(8\)

Therefore \(r = 8\)

Hence I is Sufficient.

(2) \(p < 6\)

Given \(p\) is less than \(6\), hence \(p\) can have value of \(4\). \(q\) and \(r\) can have any even positive integer values. We cannot find value of \(r\).

Hence II is Not Sufficient.

Answer (A)...
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Re: If p, q and r are positive even integers and 2<p<q<r   [#permalink] 28 Aug 2017, 18:12
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If p, q and r are positive even integers and 2<p<q<r

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