Statements:
No code is a knuckle.
No eel is a code.
Some codes are bulldozers.
Conclusions:
(I) Some bulldozers are codes.
(II) Some bulldozers are not knuckles.
(III) Some bulldozers are not eels.
Analyzing Logical Statements and Conclusions
This problem requires us to determine the logical validity of three conclusions based on two given statements. We need to carefully examine the relationships between the categories: 'code', 'knuckle', 'eel', and 'bulldozer'.
Understanding the Statements
Let's break down each statement:
- Statement 1: No code is a knuckle. This means the set of 'codes' and the set of 'knuckles' are completely separate. If something is a code, it cannot be a knuckle, and vice versa.
- Statement 2: No eel is a code. Similar to the first statement, this means the set of 'eels' and the set of 'codes' are entirely distinct. If something is an eel, it cannot be a code, and vice versa.
- Statement 3: Some codes are bulldozers. This indicates that there is at least one instance where an item belongs to both the 'code' category and the 'bulldozer' category. There's an overlap between these two sets.
Evaluating the Conclusions
Now, let's assess each conclusion based on these statements:
Conclusion (I): Some bulldozers are codes.
- Statement 3 directly states that "Some codes are bulldozers."
- This is a particular affirmative statement, meaning there exists at least one member common to both sets.
- Logically, if some members of set A are in set B, then some members of set B must also be in set A.
- Therefore, conclusion (I) logically follows from Statement 3.
Conclusion (II): Some bulldozers are not knuckles.
- From Statement 3, we know that "Some codes are bulldozers." Let's call this group of items 'X'. So, 'X' represents bulldozers that are also codes.
- From Statement 1, we know "No code is a knuckle." This means anything that is a code cannot be a knuckle.
- Since the items in group 'X' are codes, they cannot be knuckles.
- Because group 'X' consists of bulldozers (that are codes), these specific bulldozers ('X') are not knuckles.
- Therefore, conclusion (II) logically follows.
Conclusion (III): Some bulldozers are not eels.
- Again, from Statement 3, we know "Some codes are bulldozers." Let's refer to this overlapping group as 'Y'. So, 'Y' represents bulldozers that are also codes.
- Statement 2 states, "No eel is a code." This implies that anything that is a code cannot be an eel.
- Since the items in group 'Y' are codes, they cannot be eels.
- As group 'Y' consists of bulldozers (that are codes), these specific bulldozers ('Y') are not eels.
- Therefore, conclusion (III) logically follows.
Final Decision
Based on the analysis, all three conclusions (I), (II), and (III) are logically derived from the given statements. Thus, all the conclusions follow.
Similar Questions
- In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.
Statements:
I. Some tables are chairs.
II. All desks are chairs.
III. No chair is a fan.
Conclusions:
I. Some desks are tables.
II. Some fans are desks. - In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.
Statements:
I. All tables are charts.
II. Some charts are graphs.
III. Some graphs are pies.
Conclusions:
I. No table is a graph.
II. Some pies are charts. - In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.
Statements:
All boxes are squares.
All squares are rectangles.
All rectangles are figures.
Conclusions:
I. All boxes are figures.
II. All squares are figures. Three statements are given, followed by Two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some fractions are marts.
No mart is a stud.
All studs are frogs.
Conclusions:
I. Some fractions are definitely not studs.
II. Some fractions are definitely not marts.
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 calculators are lanterns.
Some lanterns are mobiles.
Conclusions:
I. All mobiles are calculators.
II. No mobile is a lantern.
III. Some mobiles are lanterns.
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 parrots are crows.
All crows are eagles.
Conclusions:
I. All parrots are eagles.
Il. Some crows are parrots.
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:
No certificate is a paper.
All pens are papers.
Conclusions:
I. No certificate is a pen.
II. No paper is a certificate.
III. Some papers are pens.
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 officers are clerks.
All clerks are workers.
Conclusions:
I. Some workers are officers.
Il. No worker is an officer.
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 chargers are phones.
No phone is a watch.
Conclusions:
I. All phones are chargers.
Il. No charger is a watch.
Ill. No watch is a phone.
Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All wallets are bags.
Some bags are envelopes.
Conclusions:
I. Some wallets are envelopes.
II. No wallet is an envelope.
III. No bag is an envelope.
Important Questions from Syllogism
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 students are players.
All players are male.
Conclusions:
I. All males are players.
II. Some males are students.
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:
No creative is an employer.
All experts are creative.
All workers are experts.
Conclusions:
I. No employer is an expert.
II. No worker is an employer.
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 actors are choreographers.
All choreographers are producers.
Not a single producer is a director.
Conclusions:
I. Some actors are directors.
II. Not a single actor is a director.
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 :
1. All flowers are tulips.
2. No tulips are whites.
Conclusions :
I. All tulips are flowers.
II. Some tulips are whites.
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 rats are dogs.
Some rats are hens.
Conclusions:
I. Some rats are dogs.
II. Some hens are rats.
