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(s) from the statements. Statements: All clouds are water. Some water is vapor. Conclusions:
(I) Some clouds are vapor.
(II) Some vapor is water.
Only conclusion (II) follows
Statement 1: All clouds are water — every cloud is included in the set of water.
Statement 2: Some water is vapor — there is an overlap between water and vapor, but this overlapping portion may or may not include the cloud subset of water.
Conclusion (I): Some clouds are vapor. To link clouds directly to vapor, we would need the part of water that overlaps with vapor to necessarily include some clouds. Since clouds are only a subset of water, and the 'some water' that is vapor may be entirely outside the cloud subset, this conclusion does NOT necessarily follow.
Conclusion (II): Some vapor is water. This is the simple converse of Statement 2 ('Some water is vapor'). A particular affirmative (I-type) proposition can always be converted: 'Some water is vapor' ↔ 'Some vapor is water'. This conclusion FOLLOWS.
Hence, only conclusion (II) follows.
Read the given statements and decide which of the conclusions given in the options logically follow from the statements.
Statements:
1. All kitchens are bedrooms.
2. No bedroom is a hall.
Read the given statements and decide which of the conclusions given in the options logically follow from the statements.
Statements:
1. All guitars are instruments.
2. All instruments are bagpipes.
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(s) from the statements.
Statements:
Some balls bounce.
All balls vibrate.
Conclusions:
I. Even the balls that do not bounce, vibrate.
II. The balls that do not bounce, do not necessarily vibrate.
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(s) from the statements.
Statements:
All forests are hills.
Some hills are deserts.
Conclusions:
(I): All hills are forests.
(II): Some deserts are hills.
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(s) from the statements.
Statements:
All bottles are ludo.
All ludo are dancer.
Conclusions:
(I): Some dancers are ludo.
(II): All bottles are dancers.