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22 Apr 2019, 01:41
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
71% (01:30) correct
29%
(01:39)
wrong
based on 116
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In order to estimate the value of x - y where x and y are real numbers with x > y > 0, Xiaoli rounded x up by a small amount, rounded y down by the same amount, and then subtracted her rounded values. Which of the following statements is necessarily correct?
A) Her estimate is larger than x - y
B) Her estimate is smaller than x - y
C) Her estimate equals x - y
D) Her estimate equals y - x
E) Her estimate is 0
A) Her estimate is larger than x - y
B) Her estimate is smaller than x - y
C) Her estimate equals x - y
D) Her estimate equals y - x
E) Her estimate is 0
Archit3110
Major Poster
22 Apr 2019, 03:01
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Bunuel
let x= 3 and y = 2
rounded up x by 3.4 and lowered y = 1.6
so x-y = 1.8
IMO A
saukrit
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Status:Current student at IIMB
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Concentration: General Management, Technology
Schools: IIMB EPGP'22 (A)
GMAT 1: 600 Q47 V26
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22 Apr 2019, 03:31
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X(new)= X + Delta
Y(new)= Y - Delta
X(new)- Y(new)
\(= (X+Delta) - (Y-Delta)\)
\(= X+ Delta - Y+ Delta\)
\(= X - Y + 2(Delta)\)
Clearly, X(new)-Y(new) is greater than X-Y
Hence, Answer is A
Y(new)= Y - Delta
X(new)- Y(new)
\(= (X+Delta) - (Y-Delta)\)
\(= X+ Delta - Y+ Delta\)
\(= X - Y + 2(Delta)\)
Clearly, X(new)-Y(new) is greater than X-Y
Hence, Answer is A
