Premises Analysis
This question tests our ability to understand logical arguments, specifically syllogisms. We are given two statements, called premises, and asked to determine which conclusion logically follows from them.
- Premise 1: All flowers are plants.
- Premise 2: Some plants are flowering plants.
Let's understand the meaning of these premises:
Premise 1 establishes a clear relationship: the entire group of 'flowers' is contained within the larger group of 'plants'. If we visualize this using sets, the set of flowers (let's call it $F$) is entirely inside the set of plants (let's call it $P$). We can write this relationship mathematically as $F \subseteq P$. This means any individual item that is a flower must also be a plant.
Premise 2 states that there is at least one plant that is also a 'flowering plant'. Often, 'flowers' are considered a type of 'flowering plant'. This premise basically confirms that the category 'plants' exists and has members that possess the characteristic of flowering.
Options Evaluation
We need to check which of the given options is a necessary consequence of the premises:
- Option 1: No plants are flowers. This statement directly contradicts Premise 1 ("All flowers are plants"). If every flower is a plant, it cannot be true that no plants are flowers. This option is logically invalid.
- Option 2: Some flowers are not plants. This statement also contradicts Premise 1. Premise 1 explicitly states that *all* flowers *are* plants, so it's impossible for any flower *not* to be a plant. This option is logically invalid.
- Option 3: Some plants are flowers. This conclusion logically follows from Premise 1. Since Premise 1 tells us that all flowers belong to the category of plants ($F \subseteq P$), and assuming that flowers actually exist (the category 'F' is not empty), then those existing flowers are necessarily plants. Therefore, it must be true that at least some members of the 'plants' category are also members of the 'flowers' category. This option is logically valid.
- Option 4: All plants are flowers. This statement is not supported by the premises. Premise 1 tells us about flowers being plants, but it does not say anything about *all* plants being flowers. There are many types of plants that do not produce flowers (like ferns or mosses), so this statement is not necessarily true. This option is logically invalid.
Conclusion Validity
By examining the premises, we find that:
- Premise 1 ($F \subseteq P$) is the key statement. It establishes that the set of flowers is contained within the set of plants.
- Given that the set of flowers is non-empty (implied in such logic problems), the relationship $F \subseteq P$ directly leads to the conclusion that there must be an overlap between plants and flowers. Specifically, the overlap consists of all the flowers.
- Thus, the statement "Some plants are flowers" is the only conclusion that is logically guaranteed to be true based on the given information.
The logically valid conclusion derived from the premises is Some plants are flowers.
Similar Questions
Read the given statements and conclusions carefully. Assuming that the information given in the statements are 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:
1. All colours are reds.
2. Some reds are greens.
3. All greens are dark.
Conclusions:
I. All colours being dark is a possibility
II. Some reds are dark.
III. Some reds are colours.
Read the given statements and conclusions carefully. Assuming that the information given in the statement 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 chairs are cupboards.
Some chairs are radios.
No chair is piano.
Conclusions:
I. Some radios are cupboards.
II. Some cupboards are not piano.
III. Some radios are not piano.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is ture, 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 aero-planes are cars.
All helicopters are cars.
All cars are scooters.
Conclusions:
1. All helicopters are scooters.
2. Some aero-planes are helicopters.
3. No aero-plane is helicopter.
The statements below are followed by two conclusions labelled I and II. Assuming that the information in the statements 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:
All books are grapes.
Some grapes are fruits.
Conclusions:
I. No grape is a book.
II. Some grapes are books.The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements 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:
Some fans are radio.
All fans are light.
Conclusion I: Some radios are light.
Conclusion II: Some lights are radio.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 scissors are spoons.
All spoons are plates.
Conclusions:
1. Some plates are spoons.
2. Some spoons are scissors.
3. Some plates are scissors.
Read the given statements and conclusions carefully. Assuming that the information given in the statement 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:
No boat is ship.
Some ships are rods.
Conclusions:
I. No boat is rod.
II. Some rods are ships.
III. Some rods are not boats.
The statements below are followed by two conclusions labelled I and II. Assuming that the information in the statements 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:
Some tents are cones.
All the cones are motels.
Conclusions:
All the motels are cones.
Some tents are motels.The statements below are followed by four conclusions labelled I, II, III and IV. Assuming that the information in the statements 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 laptop is notebook.
All notebooks are tablets.
Conclusions:
I. No laptop is tablets.
II. No tablets is laptop.
III. Some tablets are notebooks.
IV. All the tablets are notebooks.
The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements 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:
Some cats are hens.
All hens are goat.
Conclusions:
Conclusion I: Some hens are cat.
Conclusion II: Some goats are hens.
Important Questions from Syllogism
The statements below are followed by conclusions labeled I, II and III. Assuming that the information in the statements 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:
All twenty are thirty.
All thirty are forty.
All forty are sixty.
All sixty are seventy.
Conclusions:
I. Some forty are thirty.
II. Some seventy are sixty.
III. No thirty is twenty.The statements below are followed by two conclusions labelled I and II. Assuming that the information in the statements 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:
All Strong are animals.
Some animals are Tigers.
All Tigers are Sharp.
Conclusions:
I. Some Strong are Sharp.
II. No Strong is Sharp.The statements below are followed by conclusions labelled I, II and III. Assuming that the information in the statements 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:
Some women are weak.
Some weaks are female.
All female are iron.
All iron are gold.Conclusions:
I. Some weaks are iron.
II. Some gold are weaks.
III. Some women are female.
The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements 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:
Some teaspoons are glasses.
All teddies are teaspoons.
Conclusions:
I. Some teddies are glasses.
II. Some glasses are teddies.
The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements 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:
All bangles are rings.
Some rings are toys.
Some toys are dolls.
Conclusions:
I. Some rings are bangles.
II. Some dolls are rings.
