hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    Which of the following statements are logically equivalent?A. No soaps are writing—tools.B. All soaps are non-writing—tools.C. No non—writing—tools ar
    Question

    Which of the following statements are logically equivalent?
    A. No soaps are writing—tools.
    B. All soaps are non-writing—tools.
    C. No non—writing—tools are soaps.
    D. No writing-tools are soaps.
    Choose the correct answer from the options given below:

    A.

    A and D Only

    B.

    A, B and D Only

    C.

    B and C Only

    D.

    A and C Only

    Correct option is B

    Introduction:

    The question requires determining which statements are logically equivalent. Let's analyse each statement to identify any equivalences.
    Information Booster:

    • A. No, soaps are writing-tools: This statement implies that soaps and writing-tools are mutually exclusive.
    • B. All soaps are non-writing tools: This statement is equivalent to A, as it also implies that soaps are not writing-tools.
    • C. No non-writing-tools are soaps: This statement is not equivalent to A or B. It implies that all soaps must be writing-tools, which contradicts A and B.
    • D. No writing-tools are soaps: This statement is equivalent to A, as it also implies that writing-tools and soaps are mutually exclusive.
    Additional Knowledge:
    Logically equivalent statements convey the same meaning, even if they are worded differently. In this case, statements A and D are logically equivalent, as they both imply that soaps and writing-tools do not overlap. Statement B is also logically equivalent to A and D, as it conveys the same meaning differently.
    The logically equivalent statements are:

    • A. No soaps are writing-tools
    • B. All soaps are non-writing-tools
    • D. No writing-tools are soaps
    These three statements convey the same meaning and are logically equivalent.

    Free Tests

    Free
    Must Attempt

    Basics of Education: Pedagogy, Andragogy, and Hutagogy

    languageIcon English
    • pdpQsnIcon10 Questions
    • pdpsheetsIcon20 Marks
    • timerIcon12 Mins
    languageIcon English
    Free
    Must Attempt

    UGC NET Paper 1 Mock Test 1

    languageIcon English
    • pdpQsnIcon50 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon60 Mins
    languageIcon English
    Free
    Must Attempt

    Basics of Education: Pedagogy, Andragogy, and Hutagogy

    languageIcon English
    • pdpQsnIcon10 Questions
    • pdpsheetsIcon20 Marks
    • timerIcon12 Mins
    languageIcon English

    Similar Questions

    test-prime-package

    Access ‘UGC NET December’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    366k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow