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Difficult DS from GMAT PREPE

Expert replies
by 1947 » Wed Sep 07, 2011 9:50 pm
Please tell me how much time did it take for you....I had to leave this in test as it was taking more than 4 minutes. Experts please tell how to solve this within 3 minutes,
Thanks
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Source: — Data Sufficiency |

by cans » Wed Sep 07, 2011 10:38 pm
It is max 2 min question.
first of all you should know that sum of angles of triangle = 180. and thus in triangle pqr,
qpr + pqr + prq = 180 and thus option A and B are same.
Thus answer is either D or E.
now we have to find prs - pqr.
in triangle prs, rps + prs = 90
and in triangle pqs, pqs + qps = 90. pqs = pqr. thus pqr + qps = 90.
also rps = qps - qpr.
Thus qps - qpr + prs = pqr + qps -> prs - pqr = qpr = 30
Sufficient
IMO D
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by pemdas » Wed Sep 07, 2011 10:44 pm
agree with cans, both options are the same st(1)=st(2), hence d

we need to find prs-pqr=?

st(1) qpr=30`, pqr+prq=150` , pqr=150`-prq and prs-150`+prq=prs-pqr. Since prs+prq=180` we rewrite 180-150=prs-pqr=30 is Sufficient
st(2) pqr+prq=150`, the same as above Sufficient
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by 1947 » Thu Sep 08, 2011 9:19 pm
Thanks everyone.... I agree now that it is around 2 min question....and I should have solved it,
But at times in exam like situation it gets tough to solve.
Thanks anyways...
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