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Question

Consider the given statement(s) to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.
Statement 1: All elephants are men.
Statement 2: All men are socks.
Conclusion I: Some socks are elephants.
Conclusion II: All elephants are socks.

This question was previously asked in
SSC CGL 2016 (Tier 1) Previous Year Question Paper (11-Sep-2016) (Shift 2)
The correct answer is

Both Conclusions I and II follows

This question tests your understanding of syllogisms and deductive reasoning. Let's analyze the statements and conclusions:

Statement 1: All elephants are men.

Statement 2: All men are socks.

We can represent these statements using a Venn diagram. Imagine three overlapping circles: one for elephants, one for men, and one for socks. Statement 1 tells us that the entire circle representing elephants is completely contained within the circle representing men. Statement 2 tells us that the entire circle representing men is completely contained within the circle representing socks.

Conclusion I: Some socks are elephants.

This conclusion is true. Since all elephants are men, and all men are socks, it logically follows that some socks (at least those that are men, which include all elephants) are elephants.

Conclusion II: All elephants are socks.

This conclusion is also true. Because all elephants are men (Statement 1), and all men are socks (Statement 2), it follows that all elephants are socks. This is a transitive property of inclusion.

Therefore, both Conclusion I and Conclusion II follow logically from the given statements.

Correct Answer: Both Conclusions I and II follow

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Similar Questions

  1. 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 cards are postcards.

    Some cards are envelopes.

    All envelopes are copies.

    Conclusions:

    I. Some copies are envelopes.

    II. Some postcards are copies.

    III. Some cards are copies.

  2. In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the question are represented by two classes of alphabets in two matrices given below. The columns and rows of Matrix 1 are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., 'A' can be represented by 04, 12, etc., and 'U' can be represented by 59, 66, etc. Similarly, you have to identify the set for the word 'ROOT'.

    MATRIX I

     01234
    0BCDEA
    1DEABC
    2CDEAB
    3ABCDE
    4EABCD

    MATRIX II

     56789
    5RONTU
    6TURON
    7ONTUR
    8URONT
    9NTURO
  3. Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.

    Statements: 1. All fish are tortoise.

    2. No tortoise is a crocodile.

    Conclusion: 1. No crocodile is a fish.

    II. No fish is a crocodile.

  4. Consider the given statements to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.

    Statements: 1. All books are novels.
    2. Some novels are poems.
    Conclusions: I. Some books are poems.
    II. Some poems are novels.

  5. Consider the statement to be true and decide which of the conclusions logically follow:
    Statement: 
    All dogs are animals. 
    All animals are living beings.
    Conclusion 
    I:Dog is not an animal. 
    II. Dog is an animal.

  6. In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the matrices are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., 'A' can be represented by 01, 13, etc., and 'S' can be represented by 55, 66, etc. Similarly, you have to identify the set for the word 'BOTH'.
     

    MATRIX I

     01234
    0FANOI
    1IOFAN
    2ANOIF
    3OFINA
    4NIAFO

    MATRIX II

     56789
    5SEHBT
    6HSETB
    7BTSEH
    8EHTBS
    9TSEHB
  7. Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.

    Statement I: All astronomers are scientists.
    Statement II: Some scientists are shopkeepers.
    Conclusion I: All astronomers are shopkeepers.
    Conclusion II: All astronomers are scientists.
    Conclusion III: Some shopkeepers are astronomers.
    Conclusion IV: All scientists are astronomers.

  8. A word is represented by only one set of numbers as given in any one of the options. The sets of numbers are formed using two matrices below. The rows and columns of Matrix I are numbered 0 to 4 and Matrix II are numbered 5 to 9. A letter is represented by its row and column numbers. For example, ‘G’ can be coded as 12 or 21, and ‘L’ as 76 or 67.

    Find the correct code for the word ‘LIFE’.

  9. Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement:

    Statements: Some cars are caves.

    Conclusion: I. Some cars are not buses

    II. Some caves are buses

    III. No cave is a bus

    IV. Some caves are cars

  10. In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., 'C' can be represented by 56, 75, etc. Similarly you have to identify the set for the word 'NICE'.

    Matrix I (Rows 0–4)

     01234
    0ABCDE
    1FGHIJ
    2KLMNO
    3PQRST
    4UVWXY

      Matrix II (Rows 5–9)

     

     56789
    5ZABCD
    6EFGHI
    7JKLMN
    8OPQRS
    9TUVWX

    The word 'NICE' is represented as follows in the matrices:


Important Questions from Syllogism

  1. 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.
  2. 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.
  3. 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.

  4. 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.

  5. 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.
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