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

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Manager
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After 3 months' studying, taking the GMAT in 2 days... if [#permalink]  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]  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.
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

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Re: GMAT in 2 Days... 2 Hard GMATPrep Questions... [#permalink]  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]  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.
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

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lz-al < lz-bl

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

Marcus
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lackeym77 wrote:

lz-al < lz-bl

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]  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]  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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