Three statements are given, followed by four conclusions numbered I, Il, Ill, IV. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow from the statements. Statements: 1. All students are experts. 2. Some experts are tutors. 3. All tutors are Indians. Conclusions: I. Some Indians are experts. Il. Some Indians are students. lll. No Indian is a student. IV. All tutors are experts.
Three statements are given, followed by four conclusions numbered I, Il, Ill, IV. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow from the statements. Statements: 1. All students are experts. 2. Some experts are tutors. 3. All tutors are Indians. Conclusions: I. Some Indians are experts. Il. Some Indians are students. lll. No Indian is a student. IV. All tutors are experts. Correct Answer Only conclusions I, and either II or III follow
The least possible Venn diagram for the given statements is as below,
[ alt="F20 Pooja Sharma 7-6-2021 Swati D14" src="//storage.googleapis.com/tb-img/production/21/06/F20_Pooja%20Sharma_7-6-2021_Swati_D14.png" style="width: 268px; height: 195px;">
I. Some Indians are experts → True (As Some experts are tutors and All tutors are Indians. So, Some Indians are experts)
Il. Some Indians are students → False (There is no direct relation between Indians and students)
lll. No Indian is a student → False (There is no direct relation between Indians and students)
IV. All tutors are experts → False (As Some experts are tutors. So this is the possibility not definite)
Conclusion II and III are complementary to each other.
Hence, Only conclusions I, and either II or III follow.
[ height="55px" src="//storage.googleapis.com/tb-img/production/22/01/609a60948dcb4575e437b0e1_16419812352141.png" width="180px">
Either and or conditions:
1. One conclusion is positive and one is negative.
2. The elements are the same in both the conclusions.
3. Individually both conclusions must be wrong.