Bunuel wrote:
Last year, 36 houses in a certain development had roof repairs and 48 houses were repainted. If 20 houses in the development had roof repairs but were not repainted last year, how many houses were repainted but did not have roof repairs?
(A) 12
(B) 16
(C) 20
(D) 28
(E) 32
Number of houses that had roof repairs = 36
Some of these could have been repainted as well (while the others only had roof repairs)
Number of houses that had roof repairs but were not repainted (i.e. only had roof repairs) = 20
Thus, number of houses that had roof repairs and were also repainted
= (Number of houses that had roof repairs) - (Number of houses that had roof repairs but were not repainted)
= 36 - 20 = 16
Number of houses that were repainted = 48
Some of these could have had roof repairs as well (while the others had only been repainted)
Thus, number of houses that were repainted but did not have roof repairs
= (Number of houses that were repainted) - (Number of houses that had roof repairs and were also repainted)
= 48 - 16
= 32Answer E _________________
Sujoy Kr Datta LinkedIn |
GMAT Q51 | CAT 99.99 | Mentor & Coach
Personalized Private Tutoring | IIT (Indian Institute of Technology) alumnus
Free GMAT mini Diagnostic - https://www.oneclickprep.com/gmat-diagnostic/
Free GRE mini Diagnostic - https://www.oneclickprep.com/gre-diagnostic/
YouTube - GMAT | GRE | CAT - https://www.youtube.com/c/testprepbysujoy
Website: http://www.oneclickprep.com/
Reviews: Google: https://goo.gl/maps/UJ3hDxXZeYpG3tnK6
Ask me anything about the GMAT QuantEmail: sujoy.datta@gmail.com | Whats-App: +919433063089