Need Help with this !! Experts

This topic has expert replies
Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Tue Dec 23, 2014 2:39 am

Need Help with this !! Experts

by ashish » Sun Jan 04, 2015 8:49 am
Each M type memory unit will increase the base memory capacityof a certain computer by 3 MB. what is the base memory in MB of computer?

I 2 M type memory units will increase the base memory by 300 %.
II The memory capacity of computer after 2 Mtype units are added to base memory capacity is 1.6 times the memory capacity of computer after the M type memory unit is added to the base memory capacity.

User avatar
Legendary Member
Posts: 2131
Joined: Mon Feb 03, 2014 9:26 am
Location: https://martymurraycoaching.com/
Thanked: 955 times
Followed by:140 members
GMAT Score:800

by MartyMurray » Sun Jan 04, 2015 9:29 am
ashish wrote:Each M type memory unit will increase the base memory capacityof a certain computer by 3 MB. what is the base memory in MB of computer?

I 2 M type memory units will increase the base memory by 300 %.
II The memory capacity of computer after 2 Mtype units are added to base memory capacity is 1.6 times the memory capacity of computer after the M type memory unit is added to the base memory capacity.
Ok, know that each unit increases memory by 3. So it looks as if the question is can we somehow use this to get to the base memory.

Statement 1 says that adding two units increases memory by 300% over base memory, b. We know that two units add up to 6 MB. So if 6 is 300% of b, then we can figure out b. We don't need to calculate b, just to know that we can.

Sufficient

Statement 2 says that b + 2 units = 1.6(b + 1 unit). We know the units each add 3 MB, so we can use that in the equation to get b + 6 = 1.6(b + 3) So b + 6 = 1.6b + 4.8 and 1.2 = .6b This can obviously be solved for b. No need to go further.

Sufficient

Choose D.

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Sun Jan 04, 2015 11:00 am
For statement 2, I believe you need to change "the" to "ONE".
ashish wrote:Each M-type memory unit will increase the base memory capacity of a certain computer by 3 MB. What is the base memory in MB of computer?

1) 2 M-type memory units will increase the base memory by 300 %.
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 ONE M-type memory unit is added to the base memory capacity.
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 ONE 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
Brent Hanneson - Creator of GMATPrepNow.com
Image

User avatar
Senior | Next Rank: 100 Posts
Posts: 53
Joined: Thu Dec 25, 2014 2:23 pm
Thanked: 1 times

by utkalnayak » Sun Jan 04, 2015 5:14 pm
ashish wrote:Each M type memory unit will increase the base memory capacityof a certain computer by 3 MB. what is the base memory in MB of computer?

I 2 M type memory units will increase the base memory by 300 %.
II The memory capacity of computer after 2 Mtype units are added to base memory capacity is 1.6 times the memory capacity of computer after the M type memory unit is added to the base memory capacity.
D

GMAT Instructor
Posts: 2630
Joined: Wed Sep 12, 2012 3:32 pm
Location: East Bay all the way
Thanked: 625 times
Followed by:119 members
GMAT Score:780

by Matt@VeritasPrep » Mon Jan 05, 2015 11:18 am
Let's say the base capacity is b.

S1 gives us the equation b + 2*3 = b + (300% of b), which is really b + 6 = 4b, or b = 2. SUFFICIENT

S2 gives us the equation b + 2*3 = 1.6 * (b + 3), which is really b + 6 = 1.6b + 4.8, or b = 2. SUFFICIENT