SOLUTION: During a mathematics test, 18 students answered question 1 correctly, 23 students answered question 2 correctly, 8 students got them both correct and 11 students answered incorrect

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Question 314511: During a mathematics test, 18 students answered question 1 correctly, 23 students answered question 2 correctly, 8 students got them both correct and 11 students answered incorrectly on both questions. How many students took the test?
(A) 41 (B) 44 (C) 49 (D) 52 (E) 60

Answer by malaydassharma(59) About Me  (Show Source):
You can put this solution on YOUR website!
Students answered question 1 and answered question 2 BOTH correctly= 8
Students answered question 1 correctly=18,
Hence , Students answered correctly question 1 DISABLED_event_ONLY= 18-8=10
Students answered question 2 correctly=23
Hence , Students answered correctly question 2 DISABLED_event_ONLY= 23-8=15

Hence Total number of studets=Students answered question 1 and answered question 2 BOTH correctly+Students answered correctly question 1 ONLY+Students answered correctly question 2 ONLY+students answered incorrectly on both questions
Total number of studets=8+10+15+11=44