Three statements are given, followed by four conclusions numbered I, II, III and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) Statements: 1. Some students are boys. 2. All boys are honest. 3. Some honest are toppers. Conclusions: I. Some toppers are boys. II. Some honest are boys. III. Some honest are students. IV. Some toppers are students.
Three statements are given, followed by four conclusions numbered I, II, III and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) Statements: 1. Some students are boys. 2. All boys are honest. 3. Some honest are toppers. Conclusions: I. Some toppers are boys. II. Some honest are boys. III. Some honest are students. IV. Some toppers are students. Correct Answer Only conclusions II and III follow
The least possible Venn diagram for the given statements is as follow:
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Conclusions:
I. Some toppers are boys → False (it is possible but not definite as there is no direct relation between boys and topper)
II. Some honest are boys → True (As all boys are honest. So, some part of honest is boys)
III. Some honest are students → True (All boys are honest and some boys are students)
IV. Some toppers are students → False ((it is possible but not definite as there is no direct relation between topper and student)
Hence, Only conclusion II and III follow.