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A computer has three harddrives; the smallest and largest harddrives
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13 Dec 2019, 00:06
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Competition Mode Question A computer has three harddrives; the smallest and largest harddrives account for 25 and 45 percent of the total storage space on the computer, respectively; due to a catastrophic error, the largest harddrive lost approximately 22% of its storage space; after this error, the hard drive that was originally the second largest accounts for approximately what percent of the total harddrive space on the reduced computer? A) 22% B) 33% C) 20% D) 39% E) 45% Are You Up For the Challenge: 700 Level Questions
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Re: A computer has three harddrives; the smallest and largest harddrives
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13 Dec 2019, 00:18
Approach: Assume Total Space = 100  Space occupied by three hard drives be 25, 45, and 30  largest harddrive lost approximately 22% of its storage space > .78 of 45 = 35.1  Now total space becomes : 25 + 35.1 + 30 = 90.1 To Find: the hard drive that was originally the second largest(30) accounts for approximately what percent of the total harddrive space on the reduced computer? We get: 30 is approx 33% of 90.1 IMO Option B
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Re: A computer has three harddrives; the smallest and largest harddrives
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13 Dec 2019, 02:03
Lets assume: Before reduction, three hard drives had storage capacity of 25,30,45, respectively. Total was 100.
After reduction, three hard drives have storage capacity of 25,30,~35, respectively. Total is ~90.
Thus, the second largest hard drive now accounts for 30/90=~33%.
FINAL ANSWER IS (B)
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Re: A computer has three harddrives; the smallest and largest harddrives
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13 Dec 2019, 02:33
Answer seems to be B) 33%.
Adopting a combination of smart values and approximation techniques this can be solved and this seems a good problem to practice that.
Given, We can assume the total to be 100GB.
so => Largest drive (A): 45GB Smallest drive (B): 25 GB and The third drive (C): 10070=30GB
To find Percentage of B in new total storage.
Solution
Total=100 GB
So New_A = A  22/100 * A = 35GB Approx
Total_New = 90GB
Percentage of B = 30/90 = 1/3 = 33% Approx.
So, Choice B.



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Re: A computer has three harddrives; the smallest and largest harddrives
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13 Dec 2019, 02:48
A computer has three harddrives; the smallest and largest harddrives account for 25 and 45 percent of the total storage space on the computer, respectively; due to a catastrophic error, the largest harddrive lost approximately 22% of its storage space; after this error, the hard drive that was originally the second largest accounts for approximately what percent of the total harddrive space on the reduced computer? A) 22% B) 33% C) 20% D) 39% E) 45% Let total storage space be = 100GB HD1 = 25GB (smallest) HD2 = 30GB (middle) HD3 = 45GB (largest) After crash HD3 has space = (10.22)45 = 35.1 New Total space = 25 + 30 + 35.1 = 90.1 Now, A and C are straight out, 45 looks too high. B and D are left. HD2 = \(\frac{30}{90.1} * 100 ~ 33%\) Answer B.
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A computer has three harddrives; the smallest and largest harddrives
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Updated on: 16 Dec 2019, 04:56
Quote: A computer has three harddrives; the smallest and largest harddrives account for 25 and 45 percent of the total storage space on the computer, respectively; due to a catastrophic error, the largest harddrive lost approximately 22% of its storage space; after this error, the hard drive that was originally the second largest accounts for approximately what percent of the total harddrive space on the reduced computer?
A) 22% B) 33% C) 20% D) 39% E) 45% total=100 large=45 small=25 middle=1004525=30 large*(10.22)=45*78/100=35.1 30/(25+30+35.1)=30/90.1~30/90=1/3=33% Ans (B)
Originally posted by exc4libur on 13 Dec 2019, 04:39.
Last edited by exc4libur on 16 Dec 2019, 04:56, edited 1 time in total.



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Re: A computer has three harddrives; the smallest and largest harddrives
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13 Dec 2019, 08:00
original total space = 100 low; 25 middle ; 20 high ; 45 after error total ; .78*45 ; 35 loss of 10 ; new total 90 so ; low ; 25 middle ; 30 high ; 35 30/90 ; ~33.33% IMO B
A computer has three harddrives; the smallest and largest harddrives account for 25 and 45 percent of the total storage space on the computer, respectively; due to a catastrophic error, the largest harddrive lost approximately 22% of its storage space; after this error, the hard drive that was originally the second largest accounts for approximately what percent of the total harddrive space on the reduced computer?
A) 22% B) 33% C) 20% D) 39% E) 45%



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Re: A computer has three harddrives; the smallest and largest harddrives
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13 Dec 2019, 10:21
Three hard drives, x=25%, y=30% and z=45%. z has reduced to 23% after losing 22%.
Revised % of y= 30*100/(30+25+23) = 3000/78= 500/13 and Revised percentage should be less than 520/13=40%. From the answer choices the nearest value less than 40% is 39%.
the answer is therefore D.



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Re: A computer has three harddrives; the smallest and largest harddrives
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13 Dec 2019, 15:25
Let Total hard drive space be 100 points —> 3 hard drives: Smallest —25 points Largest —45 points Second largest — 30
—> if Largest lose 22 % of storage space — 45*(22/100)= 99/10= 9.9 points 45 —9.9= 35.1 points ( largest) —> Total hard drive space in the reduced computer —25+ 30 + 35.1= 90.1 points —> rate of the second largest= (30*100)/90.1 = 33.(3)
The answer is B
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Re: A computer has three harddrives; the smallest and largest harddrives
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14 Dec 2019, 03:30
THE RATIO'S ARE 25,30,45 the largest one lost 22%.....which results in 4545(0.22)=35.1 so resulted in 25,30,35.1 ans: 30/90.1= 33%
OA:B



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Re: A computer has three harddrives; the smallest and largest harddrives
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15 Dec 2019, 23:07
Bunuel wrote: Competition Mode Question A computer has three harddrives; the smallest and largest harddrives account for 25 and 45 percent of the total storage space on the computer, respectively; due to a catastrophic error, the largest harddrive lost approximately 22% of its storage space; after this error, the hard drive that was originally the second largest accounts for approximately what percent of the total harddrive space on the reduced computer? A) 22% B) 33% C) 20% D) 39% E) 45% Are You Up For the Challenge: 700 Level QuestionsOFFICIAL EXPLANATION 1. Since there are only three hard drives and these account for 100% of the space on the computer, you can write the following equation: (Smallest Hard Drive) + (Medium Hard Drive) + (Large Hard Drive) = 100% 25% + (Medium Hard Drive) + 45% = 100% 2. You now know the size of the medium hard drive: (Medium Hard Drive) = 30% 3. If the largest harddrive lost approximately 22% of its storage space, it now accounts for (1.22)(.45) = .351 or 35.1% of the old total space. 4. You can now find what percent of the total harddrive space the second largest hard drive accounts for: = (Drive Originally 2nd Largest) / (New Total Drive Space) = 30%/(35.1%+25% + 30%) = 30%/90% = ~ 33% 5. If the concept of manipulating and dividing percents throws you off, this is an excellent problem to pick numbers on. Simply let the percents be actual harddrive space. In other words, set the total hard drive space to be 100GB. Then, the smallest harddrive is 25GB, the medium harddrive is 30GB, and the largest is 45GB. After the largest shrinks by 22%, it is now 45*(1.22) = 35GB. So, the reduced hard drive is 25+30+35 = 90GB and the second largest hard drive is 30GB/90GB = 33%.
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Re: A computer has three harddrives; the smallest and largest harddrives
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