The statements given below are followed by two conclusions labeled I and II. Assuming that the information in the statement is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statements: No Boat is Ship. All Ship are Stream. Conclusions: I. No Stream is Boat. II. Some Stream are Boat.
The statements given below are followed by two conclusions labeled I and II. Assuming that the information in the statement is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statements: No Boat is Ship. All Ship are Stream. Conclusions: I. No Stream is Boat. II. Some Stream are Boat. Correct Answer Either conclusion I or II follow.
Concept:
- The neither-nor case is applicable when both the conclusions are false, whether definite or not. However, if the keywords of complementary pair are given, we will have to check if the conditions of either-or are applicable or not.
- The either-or case is applicable for a pair of statements only if either of the following pair of keywords is used AND only if the following conditions are satisfied:
Keywords:
- All and some not
- Some and no
Conditions:
- The same elements are used in the two conclusions. For example, in this case, the elements jungles and malls are common to both conclusions.
- Both conclusions should be possibilities. That is, they should be false because the conclusion is possible but not definite.
Then, the pair of conclusions are considered as complementary pairs.
Explanation:
In the given question, the keywords provided (All and some not) satisfy the concept of the Either-or case.
Therefore, we rule out option 4.
The least possible venn diagram for the above statements is as follows:
[ alt="F1 Kanchan Madhuri 14.06.2021 D1" src="//storage.googleapis.com/tb-img/production/21/06/F1_Kanchan_Madhuri_14.06.2021_D1.png" style="width: 213px; height: 90px;">
For conclusions:
I. No Stream is Boat → False (as no boat is ship and all ship are stream given which part of stream are ship can never be boat but no stream is boat, it can be a possibility but not definite. We can not say about it definitely)
Case 1:
[ alt="F1 Puja Madhuri 21.09.2021 D8" src="//storage.googleapis.com/tb-img/production/21/09/F1_Puja_Madhuri_21.09.2021_D8.png" style="height: 103px; width: 224px;">
Case 2:
[ alt="F1 Puja Madhuri 21.09.2021 D9" src="//storage.googleapis.com/tb-img/production/21/09/F1_Puja_Madhuri_21.09.2021_D9.png" style="width: 224px; height: 112px;">
Thus, Conclusion 1 will be definitely false.
II. Some Stream are Boat → False (It is a possibility but not definite. We can not say about it definitely)
Hence, Either conclusion I or II follows.