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# w > 45

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w > 45 [#permalink]  07 Dec 2017, 03:19
Expert's post
00:00

Question Stats:

54% (00:40) correct 45% (00:45) wrong based on 57 sessions
Attachment:

cg.png [ 7.33 KiB | Viewed 1683 times ]

$$w > 45$$

 Quantity A Quantity B m + n 2m

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: w > 45 [#permalink]  07 Dec 2017, 15:19
Since w > 45, the slope of the line must be > 1. Hence the Y coordinate, will be greater than the X coordinate, when both are positive. Hence 2m<n+m

For instance f(x)= 2x

For every positive x value one enters, y will always be greater.

EDIT: Sorry, mixed up A and B in my answer

Last edited by simon1994 on 08 Dec 2017, 05:03, edited 3 times in total.
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Re: w > 45 [#permalink]  07 Dec 2017, 20:31
1
KUDOS
my answer is n+m > 2m,
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Re: w > 45 [#permalink]  08 Dec 2017, 04:02
Expert's post

Please provide always the explanation. It helps the community.

Thank you
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Re: w > 45 [#permalink]  18 Sep 2018, 12:08
When slope is linear, it equals 1 and divides the plane into two 45 degree angles and x=y. However, here w > 45, which means slope is more than 1 because it is more steep. In such cases, y coordinates > x coordinates.
n>m. I.E. n+m>2m

If you are good at drawing or visualization, it usually helps in GRE with coordinate geometry especially because planes are to scale.
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Re: w > 45 [#permalink]  21 Oct 2018, 23:01
Expert's post
Carcass wrote:
Attachment:
The attachment cg.png is no longer available

$$w > 45$$

 Quantity A Quantity B m + n 2m

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

Refer the attached figure..

At 45, $$m=n$$..
but at $$w>45$$, $$n>m....n+m>m+m...n+m>2m....A>B$$
Attachments

11.png [ 5.61 KiB | Viewed 696 times ]

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Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: w > 45   [#permalink] 21 Oct 2018, 23:01
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