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Founder  Joined: 18 Apr 2015
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Kudos [?]: 3418 , given: 12318

r, s, and t are three consecutive odd integers such that [#permalink]
Expert's post 00:00

Question Stats: 57% (00:43) correct 42% (00:45) wrong based on 148 sessions
r, s, and t are three consecutive odd integers such that r < s < t.

 Quantity A Quantity B r + s + 1 s + t − 1

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Practice Questions
Question: 5
Page: 145
Difficulty: easy
[Reveal] Spoiler: OA

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Founder  Joined: 18 Apr 2015
Posts: 13432
Followers: 292

Kudos [?]: 3418 , given: 12318

Re: r, s, and t are three consecutive odd integers such that [#permalink]
Expert's post
Solution

Just pick 3 consecutive odd numbers such that the according stem condition

$$3 < 5 < 7$$

$$3+5+1=9$$

$$7+5-1=11$$

Answer is $$B$$
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Intern Joined: 01 Dec 2015
Posts: 1
Followers: 0

Kudos [?]: 0 , given: 0

Re: r, s, and t are three consecutive odd integers such that [#permalink]
Would the answer to the above change if the integers were negative? If r s and t are -3 -5 and -7, the relationship would be indeterminable.
Founder  Joined: 18 Apr 2015
Posts: 13432
Followers: 292

Kudos [?]: 3418 , given: 12318

Re: r, s, and t are three consecutive odd integers such that [#permalink]
Expert's post
wumzy wrote:
Would the answer to the above change if the integers were negative? If r s and t are -3 -5 and -7, the relationship would be indeterminable.

Hi,

what you are saying is incorrect

The odd numbers $$must$$ be consecutive $$AND$$ adhere to the condition you have $$r < s < t$$

Which means that if $$r = -5$$ on the numebr line $$s$$ must be equal to $$-3$$ and $$t$$ must be equal to $$-1$$

As such, $$-5 - 3 +1 = -7$$ and $$-3 -1 -1 = -5$$. Therefore $$-7 < -5$$

Quantity $$A < B$$

$$B$$ is the answer

Hope this helps
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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. GRE Instructor Joined: 10 Apr 2015
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Kudos [?]: 4513  , given: 69

Re: r, s, and t are three consecutive odd integers such that [#permalink]
3
KUDOS
Expert's post
Carcass wrote:
r, s, and t are three consecutive odd integers such that r < s < t.

 Quantity A Quantity B r + s + 1 s + t − 1

Another approach:

If r, s, and t are three consecutive ODD integers such that r < s < t, then we can say that...
s = r + 2
t = r + 4

So, let's take the quantities and replace s and t with r + 2 and r + 4.
We get:

Quantity A: r + (r + 2) + 1
Quantity B: (r + 2) + (r + 4) - 1

Simplify to get:
Quantity A: 2r + 3
Quantity B: 2r + 5

Subtract 2r from both to get:
Quantity A: 3
Quantity B: 5

[Reveal] Spoiler:
B

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If you enjoy my solutions, you'll like my GRE prep course.  Re: r, s, and t are three consecutive odd integers such that   [#permalink] 14 Jul 2016, 13:15
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