JEE Main & Advanced JEE Main Paper Phase-I (Held on 07-1-2020 Evening)

  • question_answer
    Let A, B, C and D be four non-empty sets. The contrapositive statement of "If \[A\subseteq B\] and\[B\subseteq D\], then \[A\subseteq C\]" is                                                   [JEE MAIN Held on 07-01-2020 Evening]

    A) If \[AC\], then \[A\subseteq B\] and \[B\subseteq D\]

    B) If \[AC\], then \[AB\] and \[B\subseteq D\]

    C) If \[AC\], then \[AB\] or \[BD\]

    D) If \[A\subseteq C\], then \[B\subset A\] or \[D\subset B\]

    Correct Answer: C

    Solution :

    [c] Consider the statements; \[p:A\subseteq B\] and \[B\subseteq D\] \[q:A\subseteq C\] Given statement is "If p then q". It's contrapositive will be "If not q then not p" \[\Rightarrow \]  If \[AC\] then \[AB\] or\[BD\].

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