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# A rectangle is formed using the x-axis, y-axis, x=4 and y=a lines.

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Manager
Joined: 25 Dec 2018
Posts: 146
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86
A rectangle is formed using the x-axis, y-axis, x=4 and y=a lines.  [#permalink]

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03 Feb 2019, 10:07
1
00:00

Difficulty:

75% (hard)

Question Stats:

22% (01:06) correct 78% (01:37) wrong based on 9 sessions

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A rectangle is formed using the x-axis, y-axis, x=4, and y=a lines. If the length of sides of the rectangle are integers and the area is less than or equal to 20, how many distinct values can "a" take?

A. 2
B. 3
C. 5
D. 10
E. 15
Director
Joined: 09 Mar 2018
Posts: 929
Location: India
Re: A rectangle is formed using the x-axis, y-axis, x=4 and y=a lines.  [#permalink]

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03 Feb 2019, 10:40
1
akurathi12 wrote:
A rectangle is formed using the x-axis, y-axis, x=4, and y=a lines. If the length of sides of the rectangle are integers and the area is less than or equal to 20, how many distinct values can "a" take?

A. 2
B. 3
C. 5
D. 10
E. 15

Never forget to consider the -ive values

l * b < = 20

When we plot the values on the graph, we can get breadth as 4, but now the length can be from -5 < = x < = 5

x != 0

_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

Intern
Joined: 28 Jan 2019
Posts: 5
Re: A rectangle is formed using the x-axis, y-axis, x=4 and y=a lines.  [#permalink]

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03 Feb 2019, 10:51
I chose C...
I ignored the -ve values?

Posted from my mobile device
Director
Joined: 09 Mar 2018
Posts: 929
Location: India
Re: A rectangle is formed using the x-axis, y-axis, x=4 and y=a lines.  [#permalink]

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03 Feb 2019, 10:53
1
Chei wrote:
I chose C...
I ignored the -ve values?

Posted from my mobile device

Hi Chei

That is correct, the distance will always be a positive value even if i take length as y = -1

I realized it later after marking the question as C
_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

Math Expert
Joined: 02 Sep 2009
Posts: 52902
Re: A rectangle is formed using the x-axis, y-axis, x=4 and y=a lines.  [#permalink]

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03 Feb 2019, 11:34
akurathi12 wrote:
A rectangle is formed using the x-axis, y-axis, x=4, and y=a lines. If the length of sides of the rectangle are integers and the area is less than or equal to 20, how many distinct values can "a" take?

A. 2
B. 3
C. 5
D. 10
E. 15

DISCUSSED HERE: https://gmatclub.com/forum/a-rectangle- ... fl=similar

TOPIC IS LOCKED AND ARCHIVED.
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Re: A rectangle is formed using the x-axis, y-axis, x=4 and y=a lines.   [#permalink] 03 Feb 2019, 11:34
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# A rectangle is formed using the x-axis, y-axis, x=4 and y=a lines.

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