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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 1

  • question_answer
    The four arithmetic means between 3 and 23 are

    A)  5,9,11,13     

    B)  7,11,15,19      

    C)  5,11,15,22     

    D)  7,15,19,21      

    Correct Answer: B

    Solution :

    [b]: Let four arithmetic means are \[{{A}_{1}},{{A}_{2}},{{A}_{3}}\] and\[{{A}_{4}}\].So,\[3.{{A}_{1}},{{A}_{2}},{{A}_{3}},{{A}_{4}},23\] \[\Rightarrow {{T}_{6}}=23=a+5d\Rightarrow d=4\] Thus \[{{A}_{1}}=3+4=7,{{A}_{2}}=7+4=11,\] \[{{A}_{3}}=11+4=15,{{A}_{4}}=15+4=19\]


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