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

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If x is an integer, what is the value of x? [#permalink] New post 18 Sep 2013, 14:38
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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.
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Re: If x is an integer, what is the value of x? [#permalink] New post 18 Sep 2013, 14:48
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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.

Answer: C.
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If x is an integer, what is the value of x? [#permalink] New post 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
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Re: If x is an integer, what is the value of x? [#permalink] New post 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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Re: If x is an integer, what is the value of x? [#permalink] New post 31 Oct 2014, 02:48
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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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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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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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