# Set theory Maxima minima doubt

( )A
(B) 90
(C) 50
(D) 120

Q2.If the number of students who like English is 90, then what is the maximum possible numbr

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In a class of 150 students, each one likes at least one subject among Science, Social and English. 80 students like Science, 70 students like Social.Q1. If the number of students who like exactly one subject is 90, then what is the maximum possible number of students who like English?

(A) 110
(B) 90
(C) 50
(D) 120

Q2.If the number of students who like English is 90, then what is the maximum possible number students who like only Science?

(A) 60
(B) 55
(C) 50
(D) 48

Q3. If the number of students who like English is 100, then what is the maximum possible number of students who like only Social?

(A) 70
(B) 40
(C) 50
(D) 60

In a colony 180 families read The Hindu, 120 families read Indian Express, and 250 families read either The Hindu or Times of India. Each family residing in the colony reads at least one of these three news papers and 30 families read both The Hindu and Times of India.Q1. If 60 families read only Indian Express, then how many families do not read Indian Express?

(A) 110
(B) 120
(C) 190 - ans
(D) 150

Q2. If 110 families read at least two of the three newspapers, then at least how many families are residing in the colony?

(A) 260- ans
(B) 300
(C) 280
(D) 255

Q3. lf 60 families among the families which read Express, read exactly one more news paper, then what is the minimum possible number of families that read exactly one news paper?(A) 110
(B) 240
(C) 165
(D) 190 - ans