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# r, s, and t are three consecutive odd integers such that

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Founder
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r, s, and t are three consecutive odd integers such that [#permalink]  01 Dec 2015, 06:54
Expert's post
00:00

Question Stats:

58% (00:45) correct 41% (00:54) wrong based on 112 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: 12020
Followers: 254

Kudos [?]: 2997 [0], given: 11253

Re: r, s, and t are three consecutive odd integers such that [#permalink]  01 Dec 2015, 06:58
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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Re: r, s, and t are three consecutive odd integers such that [#permalink]  02 Dec 2015, 00:01
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
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Kudos [?]: 2997 [0], given: 11253

Re: r, s, and t are three consecutive odd integers such that [#permalink]  02 Dec 2015, 09:53
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 Instructor
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Re: r, s, and t are three consecutive odd integers such that [#permalink]  14 Jul 2016, 13:15
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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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Re: r, s, and t are three consecutive odd integers such that   [#permalink] 14 Jul 2016, 13:15
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