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Help with three High 600-mid 700 level questions

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
Expert replies
by irish200 » Thu Jul 09, 2009 3:08 pm
Hey guys...

I ran into three questions in GMAT Prep 2 that I couldn't quite master even when I saw the answer...

1) I had to attach it because it involves geometry and I couldn't replicate the figure. I have no idea how to get the answer which is D (EACH statement is sufficient). I can solve the problem using both statements quite easily.

2) I can solve this with a calculator (not allowed) or by hand but it takes WAY too long to be sufficient at solving problems quickly. Does anyone have any shortcuts/ hints to approximating...

(1001^2)-(999^2) / (101^2)-(99^2)
(the first part divided by the second)

a) 10
b) 20
c) 40
d) 80
e) 100

Again I know how to get the answer (A)...I just need to get it faster



3)
if w+x < 0
is w + y > 0?

I) x+y > 0
II) y< x < w

a) I is suff.
b) II is suff.
c) BOTH
d) EACH
e) neither

answer is B and I can do it but it takes me awhile.... A concise explanation that would help on future problems would be helpful...thanks guys
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Source: — Quantitative Reasoning |

by irish200 » Thu Jul 09, 2009 3:47 pm
just to clarify the answer to #1 is D (Each), not C (Both) as I incorrectly answered when I took it.
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Answer for 2nd question

by struggling_guy2001 » Fri Jul 10, 2009 3:07 am
I dont find any level of difficulty in 2nd question.. It can be easily damn easily solved.. but you need to rem just one formula

i.e. (((a)^2)- ((b)^2))) = (a+b) * (a-b)

so (1001)^2 - (999)^2 = (1001+999)* (1000-999) = (2000)*2.

also,

(101)^2- (99)^2 = (101+99) * (101-99)= 200 *2.

Hence the answer would be 10.

I will come back after solving the remaining questions and I dont understand the difficulty level in this question.
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by irish200 » Fri Jul 10, 2009 6:44 am
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by gmat_2010 » Thu Jul 30, 2009 6:48 am
Remember the handy formula:

a^2 - b^2 = (a + b)(a - b)
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