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M28-06

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M28-06  [#permalink]

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New post 16 Sep 2014, 01:28
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57% (00:49) correct 43% (01:13) wrong based on 30 sessions

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Certain rectangle has the length of \(a\) centimeters and the width of \(b\) centimeters, where \(a\) and \(b\) are integers and \(a\geq{b}\). If the area of the rectangle is 36 square centimeters, then how many values of \(a\) are possible?

A. \(4\)
B. \(5\)
C. \(6\)
D. \(7\)
E. \(8\)

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Re M28-06  [#permalink]

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New post 16 Sep 2014, 01:28
Official Solution:

Certain rectangle has the length of \(a\) centimeters and the width of \(b\) centimeters, where \(a\) and \(b\) are integers and \(a\geq{b}\). If the area of the rectangle is 36 square centimeters, then how many values of \(a\) are possible?

A. \(4\)
B. \(5\)
C. \(6\)
D. \(7\)
E. \(8\)


The area = \(ab=36=36*1=18*2=12*3=9*4=6*6\), thus \(a\) can take 5 values: 36, 18, 12, 9, and 6.


Answer: B
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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

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: M28-06  [#permalink]

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New post 16 Jan 2017, 10:20
How a=6, b=6 is taken as one of the solution...as it was mentioned in Q that this is rectangle...if 6 is taken as a solution then the figure will be square...expert please explain...

Thanks
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Re: M28-06  [#permalink]

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New post 16 Jan 2017, 10:26
spradhan wrote:
How a=6, b=6 is taken as one of the solution...as it was mentioned in Q that this is rectangle...if 6 is taken as a solution then the figure will be square...expert please explain...

Thanks


The point is that a square is also a rectangle - all squares are rectangles but not every rectangle is a square.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | 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.


What are GMAT Club Tests?
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Re: M28-06  [#permalink]

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New post 10 Jul 2018, 10:20
I'm confused here because it says a>b, but if 6 and 6 are counted, how do they fit the restriction?
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Re: M28-06  [#permalink]

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New post 10 Jul 2018, 10:30
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Re: M28-06  [#permalink]

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New post 10 Jul 2018, 10:50
How u get dis wrong :shocked
Re: M28-06 &nbs [#permalink] 10 Jul 2018, 10:50
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