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a, b, c, and d lie on the number line such that a < b.

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a, b, c, and d lie on the number line such that a < b. [#permalink] New post   23 Aug 2018, 00:36
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a, b, c, and d lie on the number line such that \(a < b\). What is the value of \(\frac{(a-b)}{(c+d)}\) ?

1. c lies exactly between a and b.
2. d lies exactly between a and c.

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E
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chetan2u
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a, b, c, and d lie on the number line such that a < b. [#permalink] New post   23 Aug 2018, 01:17
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a, b, c, and d lie on the number line such that \(a < b\). What is the value of \(\frac{(a-b)}{(c+d)}\) ?


1. c lies exactly between a and b.

2. d lies exactly between a and c.


There are FOUR variables and NO numeric value. There is no relation between all four such that the variables get cancelled out from the fraction
Don't get overwhelmed with variables. press E immediately if something of this sort comes in actuals

E
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a, b, c, and d lie on the number line such that a < b. [#permalink] New post   09 Jan 2021, 12:17
I feel answer is C..Since
if we take a = 0, and d = x then C = 2x and b = 4x
then a-b = -4x
and c + d = 3x
answer is -4/3.
where am I going wrong

chetan2u, Kindly help
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Re: a, b, c, and d lie on the number line such that a < b. [#permalink] New post   09 Jan 2021, 20:51
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Vinodhini1803 wrote:
I feel answer is C..Since
if we take a = 0, and d = x then C = 2x and b = 4x
then a-b = -4x
and c + d = 3x
answer is -4/3.
where am I going wrong

chetan2u, Kindly help



You can’t assume any values. So taking a=0 is not correct.
a could be 10, then the answer will change.
a could be 5, 100, anything.
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Re: a, b, c, and d lie on the number line such that a < b. [#permalink] New post   14 Feb 2021, 02:04
We could use the concept of ratios out here. If a/c is one ratio and if we add/sub two different constants, in this case b and d to the numerator and the denominator, we will get a different ratio. And this ratio will keep changing based on the constants we add or subtract.

Twin Question: https://gmatclub.com/forum/if-a-b-c-and ... 48920.html
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Re: a, b, c, and d lie on the number line such that a < b. [#permalink] New post   22 Feb 2021, 20:59
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I hope GMAT doesn't throw stuff like this on the exam...huge time wasters that just gets people spinning about a possible solution. It's clear there isn't any, but then self doubt creeps in and voila, I wasted 2-3 minutes.
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a, b, c, and d lie on the number line such that a < b. [#permalink] New post   16 May 2022, 12:02
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a, b, c, and d lie on the number line such that a<b. What is the value of (a-b)/(c+d)?

As per question
Let assume a, b= a+x (as b>a)

1. c lies exactly between a and b.
C= a+x/2,
Can not solve so not sufficient

2. d lies exactly between a and c.

d = (a+ (a+x/2))/2
d= a+x/4
So alone is not sufficient.

Combine 1 & 2..
C= a+x/2, d= a+x/4
C+d= 2a+3x/4
a-b= -x

(a-b)/(c+d)= -x/(2a+3x/4)... Can not solve further..so I sufficient

IMO E

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Re: a, b, c, and d lie on the number line such that a < b. [#permalink] New post   13 Aug 2023, 04:37
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Re: a, b, c, and d lie on the number line such that a < b. [#permalink]
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