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# If x is an integer, what is the value of x?

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Joined: 06 Sep 2013
Posts: 2046
Concentration: Finance
GMAT 1: 770 Q0 V
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Kudos [?]: 344 [1] , given: 355

If x is an integer, what is the value of x? [#permalink]  18 Sep 2013, 14:38
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Question Stats:

73% (01:58) correct 27% (00:31) wrong based on 71 sessions
If x is an integer, what is the value of x?

(1) $$\frac{1}{5}<\frac{1}{x+1}<\frac{1}{2}$$
(2) (x-3)(x-4)=0
[Reveal] Spoiler: OA

Last edited by Bunuel on 18 Sep 2013, 14:45, edited 1 time in total.
Edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 29172
Followers: 4735

Kudos [?]: 50006 [0], given: 7518

Re: If x is an integer, what is the value of x? [#permalink]  18 Sep 2013, 14:48
Expert's post
If x is an integer, what is the value of x?

(1) $$\frac{1}{5}<\frac{1}{x+1}<\frac{1}{2}$$. Since x is an integer, the x+1=4 or x+1=3, from which it follows that x=3 or x=2. Not sufficient.

(2) (x-3)(x-4)=0 --> x=3 or x=4. Not sufficient.

(1)+(2) Common value is x=3. Sufficient.

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Intern
Joined: 18 Dec 2013
Posts: 41
GPA: 2.84
WE: Project Management (Telecommunications)
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Kudos [?]: 18 [0], given: 98

If x is an integer, what is the value of x? [#permalink]  30 Oct 2014, 15:25
If x is an integer, what is the value of x?

(1) $$\frac{1}{5}<\frac{1}{x+1}<\frac{1}{2}$$

(2) $$(x-3) (x-4) = 0$$

Source: New Oriental Education and technology group
Manager
Joined: 22 Jan 2014
Posts: 115
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Kudos [?]: 29 [0], given: 94

Re: If x is an integer, what is the value of x? [#permalink]  30 Oct 2014, 21:35
dmmk wrote:
If x is an integer, what is the value of x?

(1) $$\frac{1}{5}<\frac{1}{x+1}<\frac{1}{2}$$

(2) $$(x-3) (x-4) = 0$$

Source: New Oriental Education and technology group

C.

1) 1/5 < 1/(x+1) < 1/2
or 2 < (x+1) < 5
or 1 < x < 4
x = 2 or 3
insufficient.

2) (x-3)(x-4) = 0
x=3 or 4
insufficient.

(1)+(2) --> x = 3
sufficient.
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Illegitimi non carborundum.

Math Expert
Joined: 02 Sep 2009
Posts: 29172
Followers: 4735

Kudos [?]: 50006 [1] , given: 7518

Re: If x is an integer, what is the value of x? [#permalink]  31 Oct 2014, 02:48
1
KUDOS
Expert's post
dmmk wrote:
If x is an integer, what is the value of x?

(1) $$\frac{1}{5}<\frac{1}{x+1}<\frac{1}{2}$$

(2) $$(x-3) (x-4) = 0$$

Source: New Oriental Education and technology group

Merging similar topics. Please refer to the discussion above.
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Manager
Joined: 31 Jul 2014
Posts: 114
GMAT 1: 630 Q48 V29
Followers: 0

Kudos [?]: 22 [0], given: 359

Re: If x is an integer, what is the value of x? [#permalink]  07 Nov 2014, 04:34
thefibonacci wrote:
dmmk wrote:
If x is an integer, what is the value of x?

(1) $$\frac{1}{5}<\frac{1}{x+1}<\frac{1}{2}$$

(2) $$(x-3) (x-4) = 0$$

Source: New Oriental Education and technology group

C.

1) 1/5 < 1/(x+1) < 1/2
or 2 < (x+1) < 5
or 1 < x < 4
x = 2 or 3
insufficient.

2) (x-3)(x-4) = 0
x=3 or 4
insufficient.

(1)+(2) --> x = 3
sufficient.

1/5 < 1/(x+1) < 1/2
or 2 < (x+1) < 5

How do you get this? Could you please explain
Math Expert
Joined: 02 Sep 2009
Posts: 29172
Followers: 4735

Kudos [?]: 50006 [0], given: 7518

Re: If x is an integer, what is the value of x? [#permalink]  07 Nov 2014, 05:33
Expert's post
thefibonacci wrote:
dmmk wrote:
If x is an integer, what is the value of x?

(1) $$\frac{1}{5}<\frac{1}{x+1}<\frac{1}{2}$$

(2) $$(x-3) (x-4) = 0$$

Source: New Oriental Education and technology group

C.

1) 1/5 < 1/(x+1) < 1/2
or 2 < (x+1) < 5
or 1 < x < 4
x = 2 or 3
insufficient.

2) (x-3)(x-4) = 0
x=3 or 4
insufficient.

(1)+(2) --> x = 3
sufficient.

1/5 < 1/(x+1) < 1/2
or 2 < (x+1) < 5

How do you get this? Could you please explain

From 1/5 < 1/(x+1) we know that x+1 must be positive so, we can cross-multiply to get x+1 < 5. The same way from 1/(x+1) < 1/2 we get 2 < x+1. Therefore 2 < x+1 < 5.

Hope it's clear.
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Re: If x is an integer, what is the value of x?   [#permalink] 07 Nov 2014, 05:33
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