GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 25 May 2019, 02:07 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. ### Request Expert Reply # Each M-type unit will increase the base memory capacity of a certain c

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 55271
Each M-type unit will increase the base memory capacity of a certain c  [#permalink]

### Show Tags

1
3 00:00

Difficulty:   25% (medium)

Question Stats: 75% (01:30) correct 25% (01:52) wrong based on 124 sessions

### HideShow timer Statistics

Each M-type unit will increase the base memory capacity of a certain computer by 3 megabytes. What is the base memory capacity, in megabytes, of the computer?

(1) 2 M-type memory units will increase the computer’s base memory by 300 percent.
(2) The memory capacity of the computer after 2 M-type memory units are added to the base memory capacity is 1.6 times the memory capacity after 1 M-type memory unit is added to the base memory capacity.

Kudos for a correct solution.

_________________
Manager  Joined: 10 Aug 2015
Posts: 103
Re: Each M-type unit will increase the base memory capacity of a certain c  [#permalink]

### Show Tags

Solution Let base capacity be x
Statement 1 : new capacity x' = 4x and x' - x = 2*3 = 6
So, x = 2.

Statement 2 : x+6 = 1.6(x+3)
So, x = 2

Option D.
CEO  V
Joined: 12 Sep 2015
Posts: 3727
Location: Canada
Re: Each M-type unit will increase the base memory capacity of a certain c  [#permalink]

### Show Tags

1
Bunuel wrote:
Each M-type unit will increase the base memory capacity of a certain computer by 3 megabytes. What is the base memory capacity, in megabytes, of the computer?

(1) 2 M-type memory units will increase the computer’s base memory by 300 percent.
(2) The memory capacity of the computer after 2 M-type memory units are added to the base memory capacity is 1.6 times the memory capacity after 1 M-type memory unit is added to the base memory capacity.

Kudos for a correct solution.

Target question: What is the base memory in MB of computer?

Given: Each M-type memory unit will increase the base memory capacity of a certain computer by 3 MB.

Statement 1: 2 M-type memory units will increase the base memory by 300 %.
From the given information, we know that 2 M-type memory units will increase the base memory by a total of 6 MB.
Let x = the BASE memory (in MB) of the computer.
So, with the 2 M-type memory units, the NEW memory is x + 6 MB
Represents a 300% increase.

FORMULA: Percent increase = 100(new - old)/old
So, we can write: 300 = 100(x + 6 - x)/(x)
Simplify: 300 = 600/x
So, x = 2
In other words, the BASE memory of the computer is 2 MB.
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The memory capacity of computer after 2 M-type units are added to base memory capacity is 1.6 times the memory capacity of computer after 1 M-type memory unit is added to the base memory capacity.
Let x = the BASE memory (in MB) of the computer.
So, when TWO M-type memory units are added, the NEW memory is x + 6 MB
When ONE M-type memory unit is added, the NEW memory is x + 3 MB

We're told that x + 6 is 1.6 TIMES x + 3
So, we can write: x + 6 = 1.6(x + 3)
At this point, we should recognize that we COULD solve this equation for x, which means we COULD find the the BASE memory of the computer.
Since we COULD answer the target question with certainty, statement 2 is SUFFICIENT

Answer = D

Cheers,
Brent
_________________
Math Expert V
Joined: 02 Sep 2009
Posts: 55271
Re: Each M-type unit will increase the base memory capacity of a certain c  [#permalink]

### Show Tags

Bunuel wrote:
Each M-type unit will increase the base memory capacity of a certain computer by 3 megabytes. What is the base memory capacity, in megabytes, of the computer?

(1) 2 M-type memory units will increase the computer’s base memory by 300 percent.
(2) The memory capacity of the computer after 2 M-type memory units are added to the base memory capacity is 1.6 times the memory capacity after 1 M-type memory unit is added to the base memory capacity.

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

Question Type: What Is the Value? This question asks for a specific number for the base memory capacity of the computer.

Given information from the question stem: Each M-type unit will increase base capacity by 3 megabytes.

Statement 1: 2 M-types units will increase the computer’s base memory by 300%. From the fact we know that this is a total addition of 6 megabytes. So “6 = 3x,” where x is the current total base memory of the computer in megabytes. “x = 2.” This statement is sufficient, so the answer is either A or D.

Statement 2: The ratio of total memory capacity after adding 2 M-types units to the total memory capacity after adding 1 M-type unit is “1.6: 1.” Therefore 6 (which is 2M-types units) + x (the current base memory) = 1.6 (3 +x). Therefore “6 + x = 4.8 + 1.6x.” You can see that you have just one variable and you will be able to solve for x, so there is no need to do so. This is sufficient as well.

The correct answer is D.
_________________
Math Expert V
Joined: 02 Sep 2009
Posts: 55271
Re: Each M-type unit will increase the base memory capacity of a certain c  [#permalink]

### Show Tags

Each M-type unit will increase the base memory capacity of a certain computer by 3 megabytes. What is the base memory capacity, in megabytes, of the computer?

(1) 2 M-type memory units will increase the computer’s base memory by 300 percent --> x + 6 = 4x --> x = 2. Sufficient.

Note that increase by 300% equals to 4 times increase.

(2) The memory capacity of the computer after 2 M-type memory units are added to the base memory capacity is 1.6 times the memory capacity after 1 M-type memory unit is added to the base memory capacity --> x + 6 = 1.6(x + 3) --> x = 2. Sufficient.

Answer: D.
_________________
IIMA, IIMC School Moderator V
Joined: 04 Sep 2016
Posts: 1341
Location: India
WE: Engineering (Other)
Re: Each M-type unit will increase the base memory capacity of a certain c  [#permalink]

### Show Tags

Project DS Butler: Day 50: Data Sufficiency (DS99)

For DS butler Questions Click Here

Bumping for DS Butler project.
_________________
It's the journey that brings us happiness not the destination.

Feeling stressed, you are not alone!! Re: Each M-type unit will increase the base memory capacity of a certain c   [#permalink] 25 Dec 2018, 03:00
Display posts from previous: Sort by

# Each M-type unit will increase the base memory capacity of a certain c

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.

#### MBA Resources  