10th Class Mathematics Real Numbers Question Bank Assertion And Reason (MCQs) - Real Numbers

  • question_answer
    Directions (Q. Nos. 1 - 20): In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choce as:
    Assertion (A): \[11\times 4\times 3\times 2+4\] is a composite number.
    Reason (R): Every composite number can be expressed as product of primes.        

    A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)

    B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A)

    C) Assertion (A) is true but reason (R) is false

    D) Assertion (A) is false but reason (R) is true

    Correct Answer: A

    Solution :

    Sol. [a] We have, \[11\times 4\times 3\times 2+4\]
    \[=(11\times 3\times 2+1)4=67\times 4=67\times {{2}^{2}}\]
    The given number can be expressed as product of primes.
    So, it is a composite number.
    \[\therefore \] Assertion: True; Reason: True and it is the correct explanation of assertion.


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