canbtg wrote:A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x - 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number of people surveyed by the company?
A. 46
B. 80
C. 90
D. 100
E. 200
OAD
Given: 23% people liked "something", hated "something" etc.. As the
number of people has to be a positive integer 23% of the
minimum no people should also be an integer.
Quickly check the answer choices for divisibility by the prime no 23:
Starting with D:
(23/100)100 = 23 = INTEGER .. Lets keep this, and check the next lower value
(23/100)90 = NONINTEGER
(23/100)80 = NONINTEGER
(23/100)46 = NONINTEGER
Answer D
Don't know if this is an optimum approach but it worked
