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13 Dec 2016, 07:11
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
79% (02:18) correct
21%
(02:19)
wrong
based on 143
sessions
History
Date
Time
Result
Not Attempted Yet
The computer department at College X has x computers, y of which have neither the Macintosh operating system nor a DVD drive and z have both a Macintosh operating system and a DVD drive. If w have a DVD drive, how many of the computers, in terms of w, x, y and z have a Macintosh operating system?
A. w + x + y – z
B. x + z – w – y
C. xy – zw
D. x + y – w – z
E. x – w – y
A. w + x + y – z
B. x + z – w – y
C. xy – zw
D. x + y – w – z
E. x – w – y
16 Dec 2016, 06:11
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Option B)
Given:
:Total no. of computers = X
:Comp. with neither Mac nor DVD = MC'&DVD' = Y
:Comp. with both Mac and DVD = MC&DVD = Z
:Comp. with DVD = DVD = W
:Comp. with MC = MC = ?
As, DVD = W; then DVD' = X - W
: DVD' = DVD'&MC' + DVD'&MC
: X - W = Y + DVD'&MC
: DVD'&MC = X - W - Y
: MC = MC&DVD' + MC&DVD
: MC = (X - W - Y) + Z = X + Z - W - Y
Given:
:Total no. of computers = X
:Comp. with neither Mac nor DVD = MC'&DVD' = Y
:Comp. with both Mac and DVD = MC&DVD = Z
:Comp. with DVD = DVD = W
:Comp. with MC = MC = ?
As, DVD = W; then DVD' = X - W
: DVD' = DVD'&MC' + DVD'&MC
: X - W = Y + DVD'&MC
: DVD'&MC = X - W - Y
: MC = MC&DVD' + MC&DVD
: MC = (X - W - Y) + Z = X + Z - W - Y
Vinayak Shenoy
Joined: 06 Jun 2016
Last visit: 27 Jun 2017
Posts: 225
Own Kudos:
Given Kudos: 212
Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
GMAT 1: 600 Q49 V23
GMAT 2: 680 Q49 V34
GPA: 3.9
16 Dec 2016, 09:51
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Bunuel
Find the attachment for tabular solution.
B
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