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After 3 months' studying, taking the GMAT in 2 days... if

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After 3 months' studying, taking the GMAT in 2 days... if [#permalink] New post 05 Jun 2006, 17:48
After 3 months' studying, taking the GMAT in 2 days... if someone could help me understand these 2 DS problems, I would greatly appreciate it:

#1:

If a<y<z<b, is ly-al < ly-bl? (those are absolute value signs... not "L"s:))

(1) ly-al < lz-bl
(2) ly-al < lz-bl

Answer is D, but I don't have a clue how to approach. One thing that I find particularly confusing is that within each absolute value sign, you could have a positive or negative value and there are way too many absolute value numbers floating around for me to know what to do...

#2

A manufacturer produced x percent more video cameras in 1994 than 1993 and y percent more video cameras in 1995 than in 1994. If the manufacturer produced 1000 video cameras in 1993, how many video cameras did the manufacturer produce in 1995?

(1) xy = 20
(2) x + y + (xy/100) = 9.2

Answer is B, but I don't know how to do this one either. Many thanks in advance.

Marcus
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Re: GMAT in 2 Days... 2 Hard GMATPrep Questions... [#permalink] New post 05 Jun 2006, 18:18
lackeym77 wrote:
After 3 months' studying, taking the GMAT in 2 days... if someone could help me understand these 2 DS problems, I would greatly appreciate it:

#1:

If a<y<z<b, is ly-al < ly-bl? (those are absolute value signs... not "L"s:))

(1) ly-al < lz-bl
(2) ly-al < lz-bl


Marcus


Please post the correct question. Both 1 and 2 are same.

-------a-----y-----z-----b-------
Is |y-a| < |y-b| ? => Is the distance between y and a less than the distance between y and b?
From 1. ly-al < lz-bl => distance between y and a is less than distance between z and b.
Since distance between y and b is greater than distance between z and b. it should be true that |y-a| < |y-b|. Hence sufficient.
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Re: GMAT in 2 Days... 2 Hard GMATPrep Questions... [#permalink] New post 05 Jun 2006, 18:22
lackeym77 wrote:
#2

A manufacturer produced x percent more video cameras in 1994 than 1993 and y percent more video cameras in 1995 than in 1994. If the manufacturer produced 1000 video cameras in 1993, how many video cameras did the manufacturer produce in 1995?

(1) xy = 20
(2) x + y + (xy/100) = 9.2

Answer is B, but I don't know how to do this one either. Many thanks in advance.

Marcus


Here is the answer to #2:
In 1994 the price for the Camera will be = 1000(1+ x/100)
= 1000 + 10x

In 1995 the price for the Camera will be = (1000+ 10x)(1+y/100)
1000+ 10x+ 10y + xy/10 (A)

i) As only value of xy is given and not the value of x & y, therefore (i) is insufficient.

ii) x + y+ xy/100 = 9.2
(A)=>price in 1995 = 1000 +10(x + y+ xy/100)
= 1000 + 10*9.2
= 1092
Therefore (ii) is sufficient
Hence B.
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Re: GMAT in 2 Days... 2 Hard GMATPrep Questions... [#permalink] New post 05 Jun 2006, 18:24
lackeym77 wrote:
#2

A manufacturer produced x percent more video cameras in 1994 than 1993 and y percent more video cameras in 1995 than in 1994. If the manufacturer produced 1000 video cameras in 1993, how many video cameras did the manufacturer produce in 1995?

(1) xy = 20
(2) x + y + (xy/100) = 9.2

Answer is B, but I don't know how to do this one either. Many thanks in advance.

Marcus


Let P (= 1000) be the value in 1993, then in
1994: it is P*(1+x/100)
1995: it is P*(1+x/100)*(1+y/100) = P*(1+x/100+y/100+xy/(100*100))
= P/100(1+x+y+xy/100) --> This is provided in B.
= 1000+ 1000*9.2/100 = 1092 SUFF.

1. Is not sufficient since we don't know the individual values of x and y.
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Sorry About That [#permalink] New post 06 Jun 2006, 06:15
Sorry about that... for the first question, Statement 1 should read:

lz-al < lz-bl

Many thanks for your help!

Marcus
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Thanks [#permalink] New post 06 Jun 2006, 06:57
Thanks for the answer to the video camera question...

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Re: Sorry About That [#permalink] New post 08 Jun 2006, 10:28
lackeym77 wrote:
Sorry about that... for the first question, Statement 1 should read:

lz-al < lz-bl

Many thanks for your help!

Marcus


I would definitely go with the number line visualization strategy:

A----Y----Z----B

If the the distance between ZA is less than the distance between ZB, then the distance between YA is definitely less than the distance between YB.

ZA<ZB
ZA -YZ < ZB + YZ
Therefore: YA < YB
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Re: GMAT in 2 Days... 2 Hard GMATPrep Questions... [#permalink] New post 09 Jun 2006, 00:50
lackeym77 wrote:
After 3 months' studying, taking the GMAT in 2 days... if someone could help me understand these 2 DS problems, I would greatly appreciate it:

#1:

If a<y<z<b, is ly-al < ly-bl? (those are absolute value signs... not "L"s:))

(1) ly-al < lz-bl
(2) ly-al < lz-bl


Marcus

First of all aren't (1) and (2) the same thing.

Now 1) basically menas that a,y,z,b are not consecutive numbers. Now use any number satisfying 1 you will see that those numbers prove |y-a| < |y-b|
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Re: GMAT in 2 Days... 2 Hard GMATPrep Questions... [#permalink] New post 09 Jun 2006, 01:23
lackeym77 wrote:
#2

A manufacturer produced x percent more video cameras in 1994 than 1993 and y percent more video cameras in 1995 than in 1994. If the manufacturer produced 1000 video cameras in 1993, how many video cameras did the manufacturer produce in 1995?

(1) xy = 20
(2) x + y + (xy/100) = 9.2



1993 = 1000
1994 = 1000 + 10x
1995 = 1000 + 10x + 10y + xy/10
= 1000 + 10 (x + y + xy/100)

B provides this information.
Re: GMAT in 2 Days... 2 Hard GMATPrep Questions...   [#permalink] 09 Jun 2006, 01:23
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