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 cameras are bells.
Some bells are computers.
Some computers are printers.
Conclusions:
I. Some cameras are bells.
II. All bells are computers.
III. Some bells are printers.
Understanding the Statements
We are given three statements about the relationship between cameras, bells, computers, and printers. We need to determine which of the three conclusions logically follows from these statements, assuming the statements are true.
- Statement 1: All cameras are bells. This means the entire category of 'cameras' is included within the category of 'bells'. If something is a camera, it is definitely a bell.
- Statement 2: Some bells are computers. This indicates that there is an overlap between the category of 'bells' and the category of 'computers'. At least one bell is a computer, but not necessarily all bells are computers, nor all computers are bells.
- Statement 3: Some computers are printers. Similar to statement 2, this means there is an overlap between 'computers' and 'printers'. At least one computer is a printer.
Analyzing Conclusion I: Some cameras are bells.
Statement 1 says, "All cameras are bells." If every single camera is a bell, it logically follows that at least some cameras are bells. This is a direct inference from the universal statement "All A are B" to the particular statement "Some A are B".
Therefore, Conclusion I logically follows.
Analyzing Conclusion II: All bells are computers.
Statement 2 states, "Some bells are computers." This only tells us that there's a partial overlap between bells and computers. It does not provide any information that would allow us to conclude that *all* bells belong to the category of computers. There could be many bells that are not computers.
Therefore, Conclusion II does not logically follow.
Analyzing Conclusion III: Some bells are printers.
We know "Some bells are computers" (Statement 2) and "Some computers are printers" (Statement 3). However, the computers that are bells might be a completely different set of computers than those that are printers. Statement 3 only guarantees an overlap between computers and printers, and Statement 2 guarantees an overlap between bells and computers. These overlaps don't necessarily connect bells and printers.
For example:
- Imagine Bells = {Bell A, Bell B}, Cameras = {Bell A}. (Statement 1: All cameras are bells - TRUE)
- Imagine Computers = {Bell B, Computer C}. (Statement 2: Some bells (Bell B) are computers - TRUE)
- Imagine Printers = {Computer C, Printer D}. (Statement 3: Some computers (Computer C) are printers - TRUE)
In this scenario, no bells are printers. Thus, we cannot be certain that Conclusion III follows.
Therefore, Conclusion III does not logically follow.
Final Deduction
Based on the analysis of each conclusion against the given statements:
- Conclusion I follows directly from Statement 1.
- Conclusion II does not follow because "Some bells are computers" does not mean "All bells are computers".
- Conclusion III does not follow because the overlaps described in Statements 2 and 3 do not guarantee an overlap between bells and printers.
Only Conclusion I is logically guaranteed to be true based on the provided statements.
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 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 :
Some C are P.
No C is a T.
All P are S.
Conclusions :
I. All S being C is a possibility.
II. At least some T are not C.
III. Some P are not T's.
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:
All cups are saucers.
No saucer is a plate.
Conclusions:
I. Some cups are plates.
II. No cup is a plate.
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:
Some cubs are trucks.
All trucks are lanterns.
No lanterns are bricks.
Conclusions:
I. Some cubs are lanterns.
II. Some trucks are not bricks.
III. All cubs are trucks.
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 locks are keys.
Some keys are passwords.
Conclusions:
I. Some passwords are locks.
II. All passwords are locks.
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.
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.
