JEE Main & Advanced JEE Main Online Paper (Held On 23 April 2013)

  • question_answer
                    For integers m and n both greater than 1, consider the following  three statement:                 P: m divides n                 Q :  m divides  \[{{\text{n}}^{2}}\]                 R:  m is prime, then     JEE Main Online Paper ( Held On 23  April 2013 )

    A)                  \[Q\wedge R\to P\]      

    B)                                         \[P\wedge Q\to R\]

    C)                                         \[Q\to R\]                         

    D)                                         \[Q\to P\]

    Correct Answer: A

    Solution :

                       (2)\[\frac{8}{4}=2,\frac{64}{4}=16;\]but 4 is not prime. Hence \[P\wedge Q\to R,\]false (3)\[\frac{{{(6)}^{2}}}{12}=\frac{36}{12}=3;\] but 12 is not prime Hence \[Q\to R,\]false (4)\[\frac{{{(4)}^{2}}}{8}=\frac{16}{8}=2;\frac{4}{8}\] is not an integer Hence \[Q\to P,\]false


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