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

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How many integers n are there such that 1< 5n +5 < 25? [#permalink] New post 24 Sep 2012, 04:04
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Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink] New post 24 Sep 2012, 04:04
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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.

Answer: B.
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Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink] New post 24 Sep 2012, 04:15
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1< 5n +5 < 25
-> -4<5n<20
-> -.8<n<4

Four integers are possible
Answer B
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Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink] New post 24 Sep 2012, 07:43
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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
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Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink] New post 28 Sep 2012, 03:55
Expert's post
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.

Answer: B.

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Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink] New post 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

Answer: B
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Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink] New post 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
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Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink] New post 11 Dec 2012, 03:56
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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
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How many integers of N are there? [#permalink] New post 24 Jun 2013, 03:45
How many integers N are there such that: 1<5n+5<25 ?

a. 5
b. 4
c. 3
d. 2
e. 1
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Re: How many integers of N are there? [#permalink] New post 24 Jun 2013, 03:49
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Rs1991 wrote:
How many integers N are there such that: 1<5n+5<25 ?

a. 5
b. 4
c. 3
d. 2
e. 1


Merging topics. Please refer to the solutions above.

All OG13 questions with solutions are here: the-official-guide-quantitative-question-directory-143450.html

Hope it helps.
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Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink] New post 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.

Answer: B.


why is it not -1, 0, 1, 2, 3 ?
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Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink] New post 24 Jun 2013, 04:12
Expert's post
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.

Answer: B.


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


Because -1 is LESS than -4/5, and n must be more than -4/5.
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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 NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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: How many integers n are there such that 1< 5n +5 < 25? [#permalink] New post 05 Sep 2013, 22:18
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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.
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Table.png
Table.png [ 2.57 KiB | Viewed 3145 times ]

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Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink] New post 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..
Re: How many integers n are there such that 1< 5n +5 < 25?   [#permalink] 10 Sep 2014, 08:28
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