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vomhorizon
Joined: 03 Sep 2012
Last visit: 30 Mar 2018
Posts: 352
Given Kudos: 47
Location: United States
Concentration: Healthcare, Strategy
Schools: Duke '16 (A) McCombs '20 (A) Foster '20 (A)
GMAT 1: 730 Q48 V42
GPA: 3.88
WE:Medicine and Health (Healthcare/Pharmaceuticals)
Updated on: 21 Nov 2012, 08:24
Originally posted by vomhorizon on 21 Nov 2012, 07:21.
Last edited by vomhorizon on 21 Nov 2012, 08:24, edited 1 time in total.
Last edited by vomhorizon on 21 Nov 2012, 08:24, edited 1 time in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
68% (02:04) correct
32%
(02:05)
wrong
based on 841
sessions
History
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Not Attempted Yet
An epidemic is reported to have broken out in Florida. The number of detected instances of a certain disease is reported to have increased by 85% in the last year. What is the lowest number of newly detected instances possible?
(A) 1
(B) 5
(C) 11
(D) 15
(E) 17
(A) 1
(B) 5
(C) 11
(D) 15
(E) 17
We need to find the MINIMUM possible no. of instances that a disease has been detected (at the present) if it the no. has increased by 85% from the last year (the no. of detected instances of the disease) ..
21 Nov 2012, 10:58
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vomhorizon
Last year, there were n instances of the disease.
This year, the instances have increased by 85% i.e. this year, there are (n + 85% of n) instances of the disease.
The number of newly detected instances = 85% of n
Now the question is: What is the lowest number of newly detected instances possible?
This means we need to find the minimum value of 85% of n.
What are the constraints because of which there must be a minimum value of 85% of n?
The number of cases detected last year and the number of newly detected cases must be an integer. You cannot detect half a case, right?
Can (85/100 * n) be 1? No because in that case, n will not be an integer.
Can (85/100 * n) be 5? No because in that case, n will not be an integer.
Notice that 85 = 5*17.
So 85/100 = 17/20
(17/20 * n) = 17
n = 20 (an integer)
We will not get n as integer in any of the other options.
General Discussion
27 Apr 2016, 13:01
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The number should be a possible factor of 85 so choices C and D are out
out of other possible choices it says that number of patients detected increased 85 %
if we take 1 for plugging in then the number obtained before increase is not a integer same is the case with 5
so correct option - E
out of other possible choices it says that number of patients detected increased 85 %
if we take 1 for plugging in then the number obtained before increase is not a integer same is the case with 5
so correct option - E
