Multiple Choice Questions on What is sum of all integer values of n for which n2 19n 92 is a perfect square ........ for CDS Exam Preparation

Quadratic Equations

Quantitative Aptitude (CDS)

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    What is sum of all integer values of n for which n2 + 19n + 92 is a perfect square?

    21

    Incorrect Answer

    19

    Incorrect Answer

    0

    Incorrect Answer

    -19

    Correct Answer
    Explanation:

    n2 + 19n + 92 = ( n2 + 18n+ 81)+n + 11
    To be perfect square n+11=0 => n= -11
    also n2 + 19n + 92 = n2 + 20n+100 - n- 8 
    to be perfect square , n= -8
    ATQ Sum = -11 -8 = -19


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