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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If 3x + 1 represents an odd integer, which of the following  Question banks Downloads My Bookmarks Reviews Important topics
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If 3x + 1 represents an odd integer, which of the following [#permalink]
Expert's post 00:00

Question Stats: 78% (00:30) correct 21% (00:54) wrong based on 14 sessions
If 3x + 1 represents an odd integer, which of the following represents the next larger odd integer?

(A) 3(x + 1)

(B) 3(x + 2)

(C) 3(x + 3)

(D) 3x + 2

(E) 3(x + 2) + 1
[Reveal] Spoiler: OA

_________________ GRE Instructor Joined: 10 Apr 2015
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Re: If 3x + 1 represents an odd integer, which of the following [#permalink]
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Expert's post
Carcass wrote:
If 3x + 1 represents an odd integer, which of the following represents the next larger odd integer?

(A) 3(x + 1)

(B) 3(x + 2)

(C) 3(x + 3)

(D) 3x + 2

(E) 3(x + 2) + 1

Some odd numbers: 1, 3, 5, 7, 9, 11, 13, 15,...
Notice that each successive odd number is 2 greater than the previous odd number

So, the next odd number (after 3x + 1) will be 3x + 1 + 2
Since 3x + 1 + 2 is not among the answer choices, we'll have to rewrite it.

First off, 3x + 1 + 2 = 3x + 3
Check the answer choices again....still not there.
We can take 3x + 3 and factor out the 3 to get: 3(x + 1)
Check the answer choices again....BINGO!

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com Sign up for our free GRE Question of the Day emails Manager  Joined: 06 Jun 2018
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Re: If 3x + 1 represents an odd integer, which of the following [#permalink]
1
KUDOS
Carcass wrote:
If 3x + 1 represents an odd integer, which of the following represents the next larger odd integer?

(A) 3(x + 1)

(B) 3(x + 2)

(C) 3(x + 3)

(D) 3x + 2

(E) 3(x + 2) + 1

it's given that 3x+1= odd integer. Thus x must be even in order to get an odd integer.

suppose, x= 2 or x=4
then , 3*2+1=7 or 3*4+1=13
Now we have the clue the that next number could be 9 or 15

Scan the answer choices.
A)3(x+1)
=3(2+1)=9 ...................assume that x=2
or

3(x+1)=3(4+1)=15

Therefore we are sure that next odd integer will be 3(x+1).

Thus the best answer is A. Re: If 3x + 1 represents an odd integer, which of the following   [#permalink] 06 Jun 2018, 12:01
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