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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-6

  • question_answer
    Sum of square of first number and cube of second number is 568 together. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number? (assuming both the numbers are positive)

    A) 18                                

    B) 8

    C) 9         

    D) 16

    E) None of these

    Correct Answer: C

    Solution :

    Let first number be x.
    and second number = y
    Then,    \[{{8}^{2}}-{{y}^{2}}=15\]\[\Rightarrow \]\[64-{{y}^{2}}=15\]
           \[{{y}^{2}}=49\]\[\Rightarrow \]\[y=\sqrt{49}=7\]
    Again,   \[{{x}^{2}}+{{y}^{3}}=568\]
           \[{{x}^{2}}+{{7}^{3}}=568\]           [on putting value y = 7]
           \[{{x}^{2}}+343=568\]
                       \[{{x}^{2}}=225\]\[\Rightarrow \]\[x=\sqrt{225}=15\]
    Hence, three-fifth of the first number \[=\frac{3}{5}\times 15=9\]


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