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DI Set #12- Number of Graduates

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DI Set #12- Number of Graduates [#permalink] New post 15 May 2015, 11:10
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Question Stats:

85% (02:20) correct 15% (04:38) wrong based on 20 sessions
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For the categories given, which category accounts for approximately ¼ of the total number of graduates expected for each off the years shown?

(A) High school diploma
(B) Associate degree
(C) Bachelor's degree
(D) Master's degree
(E) Doctoral degree


[Reveal] Spoiler: OA
C


The number of associate degrees expected to be granted in 2001 is most nearly what percent greater than the number of associate degrees expected to be granted in 1995?

(A) 2%
(B) 3%
(C) 5%
(D) 7%
(E) 9%

[Reveal] Spoiler: OA
D


[Reveal] Spoiler:
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Re: DI Set #12 [#permalink] New post 16 May 2015, 13:47
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sandy wrote:
Image

For the categories given, which category accounts for approximately ¼ of the total number of graduates expected for each off the years shown?

(A) High school diploma
(B) Associate degree
(C) Bachelor's degree
(D) Master's degree
(E) Doctoral degree


Let's add the APPROXIMATE values in the 1995 column.
We get: 2300 + 500 + 1000 + 300 + 0 = 4100
Which category comprises 1/4 of the total number of graduates?
Well, 1/4 of 4100 is APPROXIMATELY 1000
The only category that has APPROXIMATELY 1000 graduates is the Bachelor's degree category.

Answer:
[Reveal] Spoiler:
C


Cheers,
Brent
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Re: DI Set #12 [#permalink] New post 16 May 2015, 13:54
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Expert's post
sandy wrote:
Image

The number of associate degrees expected to be granted in 2001 is most nearly what percent greater than the number of associate degrees expected to be granted in 1995?

(A) 2%
(B) 3%
(C) 5%
(D) 7%
(E) 9%


Associate degrees expected to be granted in 2001 = 489
Associate degrees expected to be granted in 1995 = 458

The DIFFERENCE in the number of associate degrees = 489 - 458 = 31
So, the question is, what percentage is represented by 31/458
One option is to use your calculator for this conversion.

The other option is to apply some number sense.
31/458 is pretty close to 30/450, which equals 1/15
1/15 = 6.7%
So, it looks like the correct answer is
[Reveal] Spoiler:
D


Cheers,
Brent
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If you enjoy my solutions, you'll like my GRE prep course.
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Re: DI Set #12- Number of Graduates [#permalink] New post 24 Jul 2020, 04:37
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Nice question :thumbup:

The first problem can be solved by approximation
2500+500+1000+300+50 = 4350, 1/4 th of which is approximately 1000+.
For the 2nd problem
% change is \( | \frac{old-new}{old} | = \frac{ 489-458}{458 } = \frac{ 31}{458 } \)
Now if we approximate numerator as 30 and denominator as 450, then it will be 6.7%
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DI Set #12- Number of Graduates

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