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

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

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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.


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[Reveal] Spoiler: OA

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Re: Each M-type unit will increase the base memory capacity of a certain c [#permalink]

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New post 01 Oct 2015, 02:24
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.
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Re: Each M-type unit will increase the base memory capacity of a certain c [#permalink]

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New post 01 Oct 2015, 05:57
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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
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Re: Each M-type unit will increase the base memory capacity of a certain c [#permalink]

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New post 05 Oct 2015, 05:21
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.
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Re: Each M-type unit will increase the base memory capacity of a certain c [#permalink]

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New post 05 Dec 2017, 21:58
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.
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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

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Re: Each M-type unit will increase the base memory capacity of a certain c   [#permalink] 05 Dec 2017, 21:58
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