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SSC Quantitative Aptitude Average Question Bank Average (II)

  • question_answer
    The average of 5 consecutive natural numbers is n. If the next two numbers are also included, the average of seven numbers will

    A) increased by 2

    B) increased by 1

    C) remain the same

    D) increased by 1.4

    Correct Answer: B

    Solution :

    [b] Let the 5 consecutive natural numbers be \[x,\] \[x+1,\]\[x+2,\]\[x+3\]and \[x+4.\] Then, \[x+(x+1)+(x+2)+\text{(}x+3)+(x+4)=5n\] \[\Rightarrow \]   \[5x+10=5n\] \[\Rightarrow \]   \[x=\frac{5\,(n-2)}{5}=(n-2)\] \[\therefore \] 7 consecutive natural numbers are \[(n-2),\]\[(n-1),\]\[n,\]\[(n+1),\]\[=2884\]\[(n+3),\]\[(n+4)\] Their average             \[=\frac{7n+7}{7}=\frac{7(n+1)}{7}=(n+1)\] So, the average increases by 1.


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