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M11-30

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M11-30 [#permalink]

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New post 16 Sep 2014, 00:45
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If in a certain office, 25% of the computers are equipped with built-in modems and infrared ports, what percentage of the computers are not equipped with either of these devices?


(1) Half of the computers that are 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.
Spoiler: OA

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Re M11-30 [#permalink]

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New post 16 Sep 2014, 00:45
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Official Solution:


(1) Half of the computers that are equipped with built-in modems do not have infrared ports. Look at the double set matrix below:

Image

As you can see we can not get the value of the yellow box. Not sufficient.

To elaborate more on this statement: since half of the computers that are equipped with built-in modems do not have infra-red ports, then another half of computers that are equipped with built-in modems DO have infrared ports. So, two boxes in "Modem" column are equal, since stem says that # of computers with modems and infra-red ports is 25 then # 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. Look at the double set matrix below:

Image

As you can see we can not get the value of the yellow box. Not sufficient.

(1)+(2) When we consider two statements together we get the following matrix:

Image

So, we have that 15% of the computers are not equipped with either of these devices.


Answer: C
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Re: M11-30 [#permalink]

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New post 04 Sep 2017, 10:05
how did we divide total 100 computers into 50-50? , I'm not getting this part from the question?
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Re: M11-30 [#permalink]

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New post 04 Sep 2017, 10:18
r19 wrote:
how did we divide total 100 computers into 50-50? , I'm not getting this part from the question?


For (1) first we got that # of computers with modems is 50 (see explanation for that), thus # of computers without modems is also 50.
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Re: M11-30 [#permalink]

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New post 09 Oct 2017, 19:37
Poorly worded question.
In this question the actual meaning is "built-in modems and infrared port"=="both built-in modems and infrared port"
However, it can also mean either built-in modems or infrared ports or both of these.
Initially, I got confused with what is mentioned.
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Re: M11-30 [#permalink]

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New post 07 Nov 2017, 02:54
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%?
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Re: M11-30 [#permalink]

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New post 07 Nov 2017, 03:01
ank4u wrote:
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%?


(1) Half of the computers that are equipped with built-in modems do not have infrared ports. Look at the double set matrix below:

Image

As you can see we can not get the value of the yellow box. Not sufficient.

To elaborate more on this statement: since half of the computers that are equipped with built-in modems do not have infra-red ports, then another half of computers that are equipped with built-in modems DO have infrared ports. So, two boxes in "Modem" column are equal, since stem says that # of computers with modems and infra-red ports is 25 then # of computers with modems but without infrared ports is also 25.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: M11-30 [#permalink]

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New post 13 Dec 2017, 03:28
How do we solve this with formula?
Re: M11-30   [#permalink] 13 Dec 2017, 03:28
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