Direction: Read the given statements and conclusions carefully. 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 mobiles are bottles
2. Only few bottles are chairs
Conclusions:
I. No chairs are mobiles
II. Some mobiles are chairs
III. All mobiles are chairs
Concept:
1) We have to check the conclusions are 100% match with the statement. If the conclusion is 100% match with the given statement then the conclusion is true. If there is a 1% chance of not following the statement then the conclusion is considered to be false.
2) The possibility case can be considered to be "false" in "definite case".
3) In Possibility case, either "can" or "possible" word must be present.
The least possible Venn diagram for the given statements is as follow
Conclusions:
I. No chairs are mobiles → False (It is possible but not definite)
II. Some mobiles are chairs → False (It is possible but not definite)
III. All mobiles are chairs → False (It is possible but not definite)
Conclusion I and II form a complementary pair of “Some-No”.
Thus, only Either I or II follows.
Conditions for “Either-Or” case between two conclusions:
1. Two entities in both the conclusion should be same.
2. Both the conclusions should form complementary pair of “All-Some Not” or “No-Some”.
Note that sequence of entities in both the statements should be same in case of “All-Some Not” pair.
3. Both the conclusions should be possible in some possible Venn diagrams.
4. Both conclusion should NOT be simultaneously true (or false) in a single possible Venn diagram.
Note:
Conditions of Either-or case:
1. The elements should be the same in both the statements.
2. Individually both the conclusions should be false.
3. One conclusion should be positive and one conclusion should be negative (Complementary pair)
The two complementary pairs are:
1) All + Some not
2) No + Some
Additional Information