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
Two 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 follow(s) from the statements.
Statements:
No book is a novel.
All novels are diaries.
Conclusions:
I. All diaries can never be books.
II. Some books are diaries.
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 rhombuses are tangents.
All chords are tangents.
Conclusions:
I. Some rhombuses being chords is a possibility.
II. Some tangents are rhombuses.
Three statements are followed by three conclusions numbered I, II, III. You have to consider these statements to be true, even if they seem to be at variance with commonly known facts. Decide which of the given conclusions logically follows from the given statements.
Statements :
No Mango is a banana.
No banana is a guava.
Some guavas are oranges.
Conclusions :
(I) Some mangoes are oranges.
(II) Some guavas are mangoes.
(III) No orange is a banana.
Three 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 tigers are fishes.
No elephant is a tiger.
Some deer are tigers.
Conclusions:
I. Some fishes are deer.
II. No elephant is a deer.
III. No deer is a fish.
Three 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.
Statement :
All Bananas are Grapes.
All Papayas are Pineapple.
Some Pineapples are Banana.
Conclusions:
(I) Some Papayas are Grapes.
(II) Some Grapes are Pineapples.
(III) Some Bananas are Papayas.
Two 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 follow(s) from the statements.
Statements:
Some defects are problems.
Some problems are solutions.
Conclusions:
I. Some defects being solutions is a possibility.
II. No solution is a defect.
Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements.
Statements:
Some bags are sacks.
Some sacks are juts.
Conclusions:
I. Some bags are juts.
II. Some juts are sacks.
Two statements are given, followed by two conclusions numbered I and II. Taking the statements to be true, even if they seem to be at variance from commonly known facts, decide which of the conclusions logically follows from the statements.
Statements:
All cycles are buses.
Some buses are trains.
Conclusions:
I. No cycle is train.
II. All cycles are trains.
Three 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.
Statement:
Some figs are orange.
All oranges are grapes.
All mangoes are oranges.
Conclusions:
(I) Some figs are grapes.
(II) All mangoes are grapes.
(III) Some mangoes are figs.
Three 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.
Statement :
All shoes are slippers.
All slippers are socks.
All socks are sandals
Conclusions:
(I) Some sandals are slippers
(II) Some socks are shoes.
(III) All sandals are shoes.
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.
