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Question

Read the given statements and conclusions carefully. Assuming 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 follows from the statements. 

Statements: 

All benches are bags. 

Some bags are pillows. 

Some bags are not chairs. 

Conclusions: 

Some benches are pillows. 

Some pillows are chairs.

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
Neither conclusion 1 nor 2 follows.

Analyzing Syllogism Statements and Conclusions

This problem involves deductive reasoning based on given statements to determine the validity of conclusions.

Statement Breakdown

  • Statement 1: All benches are bags. This means the set of 'benches' is entirely contained within the set of 'bags'.
  • Statement 2: Some bags are pillows. This indicates an overlap between the 'bags' set and the 'pillows' set. At least one bag is a pillow.
  • Statement 3: Some bags are not chairs. This means there exists at least one bag that is outside the set of 'chairs'.

Evaluating Conclusion 1

Conclusion 1: Some benches are pillows.

Statement 1 states 'All benches are bags'. Statement 2 states 'Some bags are pillows'. While benches are a type of bag, the 'some bags' that are pillows might not include any of the benches. The overlap between bags and pillows could exist entirely outside the subset of benches.

Therefore, Conclusion 1 does not necessarily follow.

Evaluating Conclusion 2

Conclusion 2: Some pillows are chairs.

Statement 2 links 'bags' and 'pillows' ('Some bags are pillows'). Statement 3 links 'bags' and 'chairs' ('Some bags are not chairs').

There is no direct information connecting 'pillows' to 'chairs'. We cannot infer any relationship between pillows and chairs based solely on these statements.

Therefore, Conclusion 2 does not necessarily follow.

Overall Validity

Since neither Conclusion 1 nor Conclusion 2 can be logically derived from the given statements, the correct determination is that neither conclusion follows.

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Similar Questions

  1. Read the given statement 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 statement. 

    Statement: 

    All reds are black. 

    Conclusions:

     1. Some blacks are red. 

    2. Some reds are black.

  2. 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 Some glasses are mugs.
    2 All mugs are plates.
    3 No plate is a telephone.

    Conclusions:
    1. Some glasses are plates.
    2. Some mugs are not telephones.
  3. Read the given statements and conclusions carefully and decide which of the conclusions logically follow(s) from the statements.

    Statements:
    1. All doctors are players.
    2. Some players are teachers.

    Conclusions:
    1. Some players are doctors as well as teachers.
    2. All teachers are players.
  4. 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.

    Statement 1: Some chairs are tables.
    Statement 2: All books are tables.
    Conclusion 1: Some books are chairs.
    Conclusion 2: Some tables are chairs.
  5. Read the given statement(s) 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 statement(s).

    Statements:

    Some apples are baskets. All baskets are drums.

    Conclusions:

    (I) Some drums are apples.

    (II) No drum is an apple.

  6. Read the given statement(s) 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 statement(s).

    Statements: All eggs are kings. Some kings are tickets.

    Conclusion (I): All tickets are eggs.

    Conclusion (II): Some eggs are tickets.

  7. 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.

    Statement: All Corns are Cauliflowers. No Cauliflowers are Spinaches.

    Conclusion (I): No Spinaches are Corns.

    Conclusion (II): Some Spinaches are Corns.

  8. 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 follows from the statements.

    Statements:
    All silk cloths are woollen cloths.
    No woollen cloth is a nylon cloth.

    Conclusions:
    I. No silk cloth is a nylon cloth.
    II. All woollen cloths are silk cloths.
  9. 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 follows from the statements.

    Statements:
    Some toffees are candies.
    All candies are lollipops.

    Conclusions:
    I. No lollipop is a toffee.
    II. Some lollipops are candies.

Important Questions from Conventional Syllogism

  1. In this question, three statements followed by two conclusions numbered I and II have been given. You have to take the given statements to be true even if they seem to be at variance from the commonly facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

    Statements:  Some flats are apartments.

    No apartment is a hall.

    Some halls are rooms.

    Conclusions: I. At least some rooms are flats.

    II. No apartment is a room.

  2. 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:

    I. Some blue are red.

    II. Some green are red.

    Conclusions:

    I. No blue is green.

    II. No red is green.

  3. Given below are two statements, Consider these statements to be true even if they seem factuality absurd, Read the conclusions and then decide which of the given conclusions logically follow(s) from the given statements?

    Statements :

    1. All vases are flowers.

    2. No flowers is a plant.

    Conclusions :

    1. No vases is a plant.

    2. Some plant are vases

  4. In the question two statements are given, followed by three conclusions, I, II and III. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

    Statement 1 : Some cars are scooters.

    Statement 2 : All scooters are buses.

    Conclusion I : Some scooters are cars.

    Conclusion II : Some buses are cars.

    Conclusion III : All cars are buses.

  5. In the question below are given three statements followed by two conclusions. You have to take each of the given statements to be true. Read the conclusions and then decide which of the conclusions can be logically derived.

    Statements:

    Some schools are colleges.

    No college is university.

    All universities are hospitals.

    Conclusions:

    I. Some schools are universities.

    II. At least some hospitals are colleges.

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