Home
Class 10
MATHS
Statements: 1. All coins are crows 2. ...

Statements: 1. All coins are crows
2. Some crows are pens
Conclusions: 1. No pen is coin
2. Some coins are pens

A

only conclusion 1 follows,

B

only conclusion 2 follows,

C

either conclusion 1 or 2 follows,

D

neither conclusion 1 nor 2 follows,

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the given statements and their conclusions using logical reasoning and Venn diagrams. ### Step-by-Step Solution: 1. **Understanding the Statements**: - **Statement 1**: "All coins are crows." This means that the set of coins is completely contained within the set of crows. - **Statement 2**: "Some crows are pens." This indicates that there is an overlap between the set of crows and the set of pens. 2. **Visualizing with Venn Diagrams**: - Draw a Venn diagram with three circles: one for coins (C), one for crows (R), and one for pens (P). - Since all coins are crows, the circle for coins is entirely within the circle for crows. - For the second statement, draw the circle for pens such that it overlaps with the circle for crows. 3. **Analyzing the Conclusions**: - **Conclusion 1**: "No pen is a coin." Since there is no direct relationship established between coins and pens in the statements, this conclusion could be true. However, we cannot definitively conclude that it is true based on the information provided. - **Conclusion 2**: "Some coins are pens." This conclusion cannot be true because all coins are crows, and while some crows are pens, it does not imply that any coins are pens. 4. **Determining the Validity of Conclusions**: - From the Venn diagram, we see that while there is a possibility that no pen is a coin, we cannot confirm that some coins are pens. Therefore: - Conclusion 1 could be true. - Conclusion 2 is false. 5. **Final Decision**: - Since we have established that Conclusion 1 can be true while Conclusion 2 is false, the answer is that only Conclusion 1 follows from the statements. ### Final Answer: - **Conclusion 1 follows, but Conclusion 2 does not follow.**
Promotional Banner

Topper's Solved these Questions

  • ADDITIONAL TOPICS IN MENTAL MATH

    MCGROW HILL PUBLICATION|Exercise EXERCISE 3|45 Videos
  • ADDITIONAL TOPICS IN MENTAL MATH

    MCGROW HILL PUBLICATION|Exercise EXERCISE 1|30 Videos
  • ALPHABET TEST

    MCGROW HILL PUBLICATION|Exercise EXERCISE|45 Videos

Similar Questions

Explore conceptually related problems

Statements: 1. All pens are roads 2. All roads are houses Conclusions: 1. All houses are pens 2. Some houses are pens

Statements: 1. Some papers are pens 2. Some pencils are pens Conclusions: 1. Some pens are pencils 2. Some pens are papers

In the following question below are given some statements followed by some Conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the Conclusions and then decide which of the given Conclusions logically follows the given statements. Statements : Some tables are chairs. Some chairs are pens. Conclusions : I. Some pens are chairs. II. Some pens are tables.

In the following question below are given some statements followed by some Conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the Conclusions and then decide which of the given Conclusion Logically Follows the given statements. Statements : All cups are glasses. Some cups are pens. Conclusions : (I) Some pens are cups. (II) Some pens are glasses. (III) Some pens are not cups.

Statement : All Cameras are books Some pens are Cameras. Conclusion: I. All pens are books II. Some books are pens

MCGROW HILL PUBLICATION-ADDITIONAL TOPICS IN MENTAL MATH-EXERCISE 2
  1. Statements: 1. Some hens are cows 2. All cows are horses Conclusio...

    Text Solution

    |

  2. Statements: 1. Some kings are queens 2. All queens are beautiful C...

    Text Solution

    |

  3. Statements: 1. Some books are tables 2. Some tables are mirrors Co...

    Text Solution

    |

  4. Statements: 1. Some papers are pens 2. Some pencils are pens Concl...

    Text Solution

    |

  5. Statements: 1. All roads are poles 2. No pole is a house Conclusio...

    Text Solution

    |

  6. Statements: 1. All mangoes are golden in colour 2. No golden-coloure...

    Text Solution

    |

  7. Statements: 1. No magazine is cap. 2. All caps are cameras Conclus...

    Text Solution

    |

  8. Statements: 1. No bat is ball 2. No ball is wicket Conclusions: 1....

    Text Solution

    |

  9. Statements: 1. Most teachers are boys 2. Some boys are students Co...

    Text Solution

    |

  10. Statements: 1. Some engineers are fools 2. Anand is an engineer Co...

    Text Solution

    |

  11. Statements: 1. Some papers are pens 2. Angle is a paper Conclusion...

    Text Solution

    |

  12. Statements: 1. All fish are grey in colour 2. Some fish are heavy ...

    Text Solution

    |

  13. Statements: 1. All hill stations have a sun-set point 2. X is a hill...

    Text Solution

    |

  14. Statements: 1. Raman is always successful 2. No fool is always succe...

    Text Solution

    |

  15. Statements: 1. No gentleman is poor 2. All gentlemen are rich Conc...

    Text Solution

    |

  16. Statements: 1. All planets are moons 2. All moons are stars Conclu...

    Text Solution

    |

  17. Statements: 1. All flowers are stems 2. All stems are roots Conclu...

    Text Solution

    |

  18. Statements: 1. All coins are crows 2. Some crows are pens Conclusi...

    Text Solution

    |

  19. Statements: 1. All apples are oranges 2. Some oranges are papayas ...

    Text Solution

    |

  20. Statements: 1. All windows are needles 2. Some trees are windows C...

    Text Solution

    |