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03 Jun 2023, 01:18
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
88% (01:02) correct
12%
(01:29)
wrong
based on 67
sessions
History
Date
Time
Result
Not Attempted Yet
In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?
(A)200
(B)225
(C)325
(D)340
(E)320
(A)200
(B)225
(C)325
(D)340
(E)320
26 Jun 2023, 03:39
Kudos
Bookmarks
Jarvis07
\( n(U)=600 \)
\( n(T)=150 \)
\( n(C)=225 \)
\( n(C \cap T)=100 \)
\( n(C \cup T)=n(T)+n(C)-n(C \cap T)=150+225-100=275 \)
\( n(C' \cap T')=n(U)-n(C \cup T)=600-275=325 \)
Alternatively, this can be thought of as a set as in the image:
600-(150+225-100) to get the number of people falling in grey area.
Hence, option (C)
Attachments
Untitled Workspace (1).png [ 63.77 KiB | Viewed 1572 times ]
Archit3110
08 Jul 2023, 10:18
Kudos
Bookmarks
2x2 matrix
----tea--NT---Total
C---100---125---225
NC--50--325-----375
total--150--450---600
OPTION C
----tea--NT---Total
C---100---125---225
NC--50--325-----375
total--150--450---600
OPTION C
Jarvis07
