10th Class Mathematics Real Numbers Question Bank Assertion and Reason MCQs - Real Number

  • question_answer
     
    Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.
    Assertion [A] If LCM = 182, product of integers is \[26\times 91\], then HCF = 13.
    Reason [R] LCM x Product of integers = HCF

    A) A is true, R is true; R is a correct explanation for A.

    B) A is true, R is true; R is not a correct explanation for A.

    C) A is true; R is False.

    D) A is false; R is true.

    Correct Answer: C

    Solution :

    \[LCM\text{ }\times \text{ }HCF\text{ }=\] Product of numbers
    \[\Rightarrow \,\,\,182\times HCF=26\times 91\]
    \[\Rightarrow \,\,\,HCF=\frac{26\times 91}{182}=13\]
    \[\therefore\] Assertion is true but Reason is false.
     


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