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

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Intern
Joined: 18 Apr 2017
Posts: 15
Location: Brazil
WE: Corporate Finance (Energy and Utilities)
If p, q and r are positive even integers and 2<p<q<r [#permalink]

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27 Aug 2017, 10:55
00:00

Difficulty:

25% (medium)

Question Stats:

74% (00:35) correct 26% (00:46) wrong based on 27 sessions

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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
BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2836
Location: India
GPA: 3.12
Re: If p, q and r are positive even integers and 2<p<q<r [#permalink]

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27 Aug 2017, 11:13
1
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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Manager
Joined: 19 Jul 2017
Posts: 85
Location: India
Concentration: General Management, Strategy
GPA: 3.5
Re: If p, q and r are positive even integers and 2[#permalink]

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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
Director
Joined: 04 Dec 2015
Posts: 700
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
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Re: If p, q and r are positive even integers and 2<p<q<r [#permalink]

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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.

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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