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SSC Quantitative Aptitude Number System and its Operations Question Bank Number Series and Sequences (I)

  • question_answer
    Which term of the sequence 6, 13, 20, 27,... is 98 more than its 24th term?

    A) 36th

    B) 38th

    C) 35th

    D) 48th

    Correct Answer: B

    Solution :

    [b] The 24th term of the sequence 6, 13, 20, 27,... \[=6+(24-1)\,7=6+23\times 7\] \[=6+161=167\] Let the required nth term \[=167+98=265\] \[\therefore \]      \[265=6+\text{(}n-1)7\] \[\Rightarrow \] \[(n-1)\times 7=265-6=259\] \[\Rightarrow \] \[(n-1)=\frac{259}{7}=37\] \[\therefore \]      \[n=38\]


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