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Difficulty:
5%
(low)
Question Stats:
88% (01:01) correct
12%
(01:34)
wrong
based on 77
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
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)
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Archit3110
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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
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