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16 Sep 2014, 00:45
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In a certain office, 25% of the computers are equipped with both built-in modems and infrared ports. What percentage of the computers are not equipped with either of these devices?
(1) Half of the computers equipped with built-in modems do not have infrared ports.
(2) 35% of all computers are equipped with infrared ports but do not have built-in modems.
(1) Half of the computers equipped with built-in modems do not have infrared ports.
(2) 35% of all computers are equipped with infrared ports but do not have built-in modems.
16 Sep 2014, 00:45
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Official Solution:
In a certain office, 25% of the computers are equipped with both built-in modems and infrared ports. What percentage of the computers are not equipped with either of these devices?
(1) Half of the computers equipped with built-in modems do not have infrared ports.
Refer to the double set matrix below:
From the matrix, it is clear we cannot determine the value in the yellow box. Not sufficient.
To elaborate more on this statement: since half of the computers equipped with built-in modems do not have infrared ports, the other half of computers that are equipped with built-in modems DO have infrared ports. Thus, two boxes in the "Modem" column are equal; since the stem says that the number of computers with modems and infrared ports is 25%, then the number of computers with modems but without infrared ports is also 25%.
(2) 35% of all computers are equipped with infrared ports but do not have built-in modems.
Refer to the double set matrix below:
From this matrix as well, we are unable to determine the value in the yellow box. Not sufficient.
(1)+(2) When we consider both statements together, we get the following matrix:
Thus, we can conclude that 15% of the computers are not equipped with either of these devices. Sufficient.
Answer: C
In a certain office, 25% of the computers are equipped with both built-in modems and infrared ports. What percentage of the computers are not equipped with either of these devices?
(1) Half of the computers equipped with built-in modems do not have infrared ports.
Refer to the double set matrix below:
From the matrix, it is clear we cannot determine the value in the yellow box. Not sufficient.
To elaborate more on this statement: since half of the computers equipped with built-in modems do not have infrared ports, the other half of computers that are equipped with built-in modems DO have infrared ports. Thus, two boxes in the "Modem" column are equal; since the stem says that the number of computers with modems and infrared ports is 25%, then the number of computers with modems but without infrared ports is also 25%.
(2) 35% of all computers are equipped with infrared ports but do not have built-in modems.
Refer to the double set matrix below:
From this matrix as well, we are unable to determine the value in the yellow box. Not sufficient.
(1)+(2) When we consider both statements together, we get the following matrix:
Thus, we can conclude that 15% of the computers are not equipped with either of these devices. Sufficient.
Answer: C
General Discussion
07 Nov 2017, 02:54
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from 1) its only saying half of computers with built in modems do not have infrared ports. how its conveying computers with modem are 50%?
