GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Dec 2018, 04:28

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

10:00 AM PST

10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.
• ### Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

December 14, 2018

December 14, 2018

10:00 PM PST

11:00 PM PST

Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.

# How many integers n are there such that 1< 5n +5 < 25?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51214
How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

24 Sep 2012, 04:04
5
11
00:00

Difficulty:

25% (medium)

Question Stats:

66% (00:40) correct 34% (00:37) wrong based on 1532 sessions

### HideShow timer Statistics

How many integers n are there such that 1< 5n +5 < 25?

(A) Five
(B) Four
(C) Three
(D) Two
(E) One

Practice Questions
Question: 50
Page: 158
Difficulty: 600

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 51214
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

24 Sep 2012, 04:04
4
4
SOLUTION

How many integers n are there such that 1< 5n +5 < 25?

(A) Five
(B) Four
(C) Three
(D) Two
(E) One

$$1< 5n +5 < 25$$ --> subtract 5 from each part: $$-4<5n<20$$ --> divide by 5 each part: $$-\frac{4}{5}<n<4$$. In this range there are 4 integers: 0, 1, 2, and 3.

_________________
##### General Discussion
Senior Manager
Joined: 24 Aug 2009
Posts: 469
Schools: Harvard, Columbia, Stern, Booth, LSB,
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

24 Sep 2012, 04:15
1
1< 5n +5 < 25
-> -4<5n<20
-> -.8<n<4

Four integers are possible
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Manager
Joined: 12 Mar 2012
Posts: 119
Location: India
Concentration: Technology, General Management
GMAT Date: 07-23-2012
WE: Programming (Telecommunications)
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

24 Sep 2012, 07:43
2
Bunuel wrote:
How many integers n are there such that 1< 5n +5 < 25?

(A) Five
(B) Four
(C) Three
(D) Two
(E) One

expression can be split into two equations:
1 < 5n + 5 ==> 5n > -4 ==> n > -0.8

5n + 5 < 25 ==> 5n < 20 ==> n < 4

now between -0.8 and 4(excluding) , there exist 4 integers, viz. 0, 1, 2, 3

hence B
_________________

FOCUS..this is all I need!

Ku-Do!

Math Expert
Joined: 02 Sep 2009
Posts: 51214
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

28 Sep 2012, 03:55
SOLUTION

How many integers n are there such that 1< 5n +5 < 25?

(A) Five
(B) Four
(C) Three
(D) Two
(E) One

$$1< 5n +5 < 25$$ --> subtract 5 from each part: $$-4<5n<20$$ --> divide by 5 each part: $$-\frac{4}{5}<n<4$$. In this range there are 4 integers: 0, 1, 2, and 3.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________
Senior Manager
Joined: 13 Aug 2012
Posts: 429
Concentration: Marketing, Finance
GPA: 3.23
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

10 Dec 2012, 03:23
$$1 < 5n +5 < 25$$
$$1 - 5 < 5n + 5 - 5 < 25 -5$$
$$-4 < 5n < 20$$
$$-4/5 < n < 4$$

<===(-1)=-4/5=(0)=(1)=(2)=(3)=(4)==> x-axis

_________________

Impossible is nothing to God.

Intern
Joined: 12 Nov 2012
Posts: 5
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

11 Dec 2012, 03:14
is it correct?

5*1+5=10
5*2+5=15
5*3+5=20
5*4+5=25 -->n=4
Math Expert
Joined: 02 Sep 2009
Posts: 51214
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

11 Dec 2012, 03:56
fabrizio1983 wrote:
is it correct?

5*1+5=10
5*2+5=15
5*3+5=20
5*4+5=25 -->n=4

No, that's not correct. n cannot be 4, since 5*4+5=25 and we are told that it must be less than 25.

1< 5n +5 < 25
n=0 --> 5n +5=5;
n=1 --> 5n +5=10;
n=2 --> 5n +5=15;
n=3 --> 5n +5=20.

Thus n can take 4 values: 0, 1, 2, or 3.

Check here: how-many-integers-n-are-there-such-that-1-5n-139474.html#p1124669
_________________
Intern
Joined: 06 Jun 2013
Posts: 7
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

24 Jun 2013, 04:06
Bunuel wrote:
SOLUTION

How many integers n are there such that 1< 5n +5 < 25?

(A) Five
(B) Four
(C) Three
(D) Two
(E) One

$$1< 5n +5 < 25$$ --> subtract 5 from each part: $$-4<5n<20$$ --> divide by 5 each part: $$-\frac{4}{5}<n<4$$. In this range there are 4 integers: 0, 1, 2, and 3.

why is it not -1, 0, 1, 2, 3 ?
Math Expert
Joined: 02 Sep 2009
Posts: 51214
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

24 Jun 2013, 04:12
Rs1991 wrote:
Bunuel wrote:
SOLUTION

How many integers n are there such that 1< 5n +5 < 25?

(A) Five
(B) Four
(C) Three
(D) Two
(E) One

$$1< 5n +5 < 25$$ --> subtract 5 from each part: $$-4<5n<20$$ --> divide by 5 each part: $$-\frac{4}{5}<n<4$$. In this range there are 4 integers: 0, 1, 2, and 3.

why is it not -1, 0, 1, 2, 3 ?

Because -1 is LESS than -4/5, and n must be more than -4/5.
_________________
Intern
Joined: 06 Jan 2013
Posts: 11
Location: United States
Concentration: Finance, Economics
GMAT Date: 11-15-2013
GPA: 3.5
WE: Education (Education)
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

05 Sep 2013, 22:18
1
A table showing values of 5n+1 for various values of n. Just need to note the constraint that 1<5n+5<25 (valid values are in green, invalid in red) and count how many valid numbers there are for n.
Attachments

Table.png [ 2.57 KiB | Viewed 20399 times ]

Manager
Joined: 07 Apr 2014
Posts: 111
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

10 Sep 2014, 08:28
Bunuel wrote:
How many integers n are there such that 1< 5n +5 < 25?

(A) Five
(B) Four
(C) Three
(D) Two
(E) One

Practice Questions
Question: 50
Page: 158
Difficulty: 600

1< 5n +5 < 25

-4<5n<20

so n can take 0,1,2,3, totally 4 integers..
Intern
Joined: 17 Jun 2015
Posts: 11
GPA: 3.35
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

10 Jul 2015, 23:22
Bunuel wrote:
How many integers n are there such that 1< 5n +5 < 25?

(A) Five
(B) Four
(C) Three
(D) Two
(E) One

Practice Questions
Question: 50
Page: 158
Difficulty: 600

i count only 1,2,and 3
for that reason i choose 3 integer

solution: must be count from 0
so, 0,1,2,and 3
so answer: the range of integer 4
Director
Joined: 24 Nov 2015
Posts: 521
Location: United States (LA)
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

08 May 2016, 13:34
The inequality given is 1 < 5n+5 < 25
it can further reduced to -4 < 5n < 20
finally -4/5 < n < 4
So can only take 5 integer values i.e. 0,1,2,3
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

09 May 2016, 09:57
1
Bunuel wrote:
How many integers n are there such that 1< 5n +5 < 25?

(A) Five
(B) Four
(C) Three
(D) Two
(E) One

Practice Questions
Question: 50
Page: 158
Difficulty: 600

Solution:

1< 5n + 5 < 25 is a compound inequality. Compound inequalities often need to be manipulated, and we can use the rules of algebra that we already know, to do this. Just as with equations, whatever we do to one part of a compound inequality, we must do to all parts of the compound inequality. Let’s first isolate n within the inequality.

1< 5n + 5 < 25

We first subtract 5 from all three parts of the inequality, and we obtain:

-4 < 5n < 20

Next, we divide both sides of the inequality by 5 and we get:

-4/5 < n < 4

The integers that are greater than -4/5 and less than 4 are 0, 1, 2, and 3. Thus, there are 4 integers that satisfy the inequality 1 < 5n + 5 < 25.

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Intern
Joined: 18 Apr 2016
Posts: 9
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

09 Jun 2016, 06:10
Bunuel wrote:
fabrizio1983 wrote:
is it correct?

5*1+5=10
5*2+5=15
5*3+5=20
5*4+5=25 -->n=4

No, that's not correct. n cannot be 4, since 5*4+5=25 and we are told that it must be less than 25.

1< 5n +5 < 25
n=0 --> 5n +5=5;
n=1 --> 5n +5=10;
n=2 --> 5n +5=15;
n=3 --> 5n +5=20.

Thus n can take 4 values: 0, 1, 2, or 3.

Check here: how-many-integers-n-are-there-such-that-1-5n-139474.html#p1124669

We are also told n is greater than 1, than how can we take 0 and 1 in the answer choice???
Math Expert
Joined: 02 Sep 2009
Posts: 51214
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

09 Jun 2016, 06:18
Lucky_Rish wrote:
Bunuel wrote:
fabrizio1983 wrote:
is it correct?

5*1+5=10
5*2+5=15
5*3+5=20
5*4+5=25 -->n=4

No, that's not correct. n cannot be 4, since 5*4+5=25 and we are told that it must be less than 25.

1< 5n +5 < 25
n=0 --> 5n +5=5;
n=1 --> 5n +5=10;
n=2 --> 5n +5=15;
n=3 --> 5n +5=20.

Thus n can take 4 values: 0, 1, 2, or 3.

Check here: how-many-integers-n-are-there-such-that-1-5n-139474.html#p1124669

We are also told n is greater than 1, than how can we take 0 and 1 in the answer choice???

We are not told that n is greater than 1. We are told that $$1< 5n +5 < 25$$, which is the same as $$−\frac{4}{5} < n < 4$$.
_________________
Manager
Joined: 12 Jun 2016
Posts: 216
Location: India
WE: Sales (Telecommunications)
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

11 Jun 2017, 21:39
Hi!

To avoid getting into the trap of a -ve number and fractions, we can do the following

Given: $$1 < 5n+5<25$$ ; Subtract throughout by -1

= $$0 < 5n+4 < 24$$ ---> We need all positive integers which satisfies this equation.

= $$4, 9, 14, 19$$ are the possibilities

_________________

My Best is yet to come!

Manager
Joined: 02 Jan 2017
Posts: 73
Location: Pakistan
Concentration: Finance, Technology
GMAT 1: 650 Q47 V34
GPA: 3.41
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

18 Dec 2017, 07:14
Should this question be for 600-700 Difficulty range?
I think it should be moved to 500-600 range.
Intern
Joined: 16 Jul 2016
Posts: 34
Re: How many integers n are there such that 1< 5n +5 < 25?  [#permalink]

### Show Tags

18 Dec 2017, 08:12
the minimum n can be is 0. The maximum it can be is 3. So n can be anything from 0 to 3. It can be 0,1,2, or 3 for a total of 4 values.
Re: How many integers n are there such that 1< 5n +5 < 25? &nbs [#permalink] 18 Dec 2017, 08:12

Go to page    1   2    Next  [ 23 posts ]

Display posts from previous: Sort by