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24 Jan 2016, 05:44
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
79% (01:43) correct
21%
(01:47)
wrong
based on 169
sessions
History
Date
Time
Result
Not Attempted Yet
A small college reduced its faculty by approximately 13 percent to 195 professors. What was the original number of faculty members?
A. 182
B. 208
C. 224
D. 254
E. 302
A. 182
B. 208
C. 224
D. 254
E. 302
25 Jan 2016, 10:42
Kudos
Bookmarks
Hi All,
This question can be solved by TESTing THE ANSWERS.
We're told that a small college reduced its faculty by approximately 13 percent to 195 professors. We're asked for the original number of faculty members.
Since these answer choices are relatively 'spread out', we can use a bit of logic to quickly eliminate some of them. The college REDUCED down to 195 professors, so there had to have been MORE than that to start. Eliminate Answer A. 10% of 208 = about 21 (and 208-21 = 187, which is already too small; if we take 13% of 208, that loss will be even greater). Eliminate Answer B. With three answers left...
Let's TEST Answer D: 254
IF....
Original number = 254
13% of 254....
10% of 254 = about 25
20% of 254 = about 50
254 - 25 = 229 = TOO MANY
254 - 50 = 204 = TOO MANY
Answer D is TOO BIG. There's only one answer left that's smaller...
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question can be solved by TESTing THE ANSWERS.
We're told that a small college reduced its faculty by approximately 13 percent to 195 professors. We're asked for the original number of faculty members.
Since these answer choices are relatively 'spread out', we can use a bit of logic to quickly eliminate some of them. The college REDUCED down to 195 professors, so there had to have been MORE than that to start. Eliminate Answer A. 10% of 208 = about 21 (and 208-21 = 187, which is already too small; if we take 13% of 208, that loss will be even greater). Eliminate Answer B. With three answers left...
Let's TEST Answer D: 254
IF....
Original number = 254
13% of 254....
10% of 254 = about 25
20% of 254 = about 50
254 - 25 = 229 = TOO MANY
254 - 50 = 204 = TOO MANY
Answer D is TOO BIG. There's only one answer left that's smaller...
Final Answer:
GMAT assassins aren't born, they're made,
Rich
04 Jun 2016, 05:14
Kudos
Bookmarks
If x is the original number of faculty members, then after 13% reduction in faculty members number is .87x
but we are given .87x = 195
x = 224
So the original number of faculty members is 224
Correct Answer - C
but we are given .87x = 195
x = 224
So the original number of faculty members is 224
Correct Answer - C
