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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-46

  • question_answer
    Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. [IDBI (SO) 2012]
    What is the value of \[{{x}^{2}}+y+z?\]
    I. \[4x+3y+5z=60,\]\[2x=y,\]\[2y=z\]
    II. \[3x+3y+2z=34,\]\[2x+5y+6z=72\]

    A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question

    B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question

    C) If the data in either statement I alone or in statement II alone are sufficient to answer the question

    D) If the data in both the statements I and, II are not sufficient to answer the question

    E) If the data in both the statements I and II together are necessary to answer the question

    Correct Answer: A

    Solution :

    From statement I,
    \[4x+3y+5z=60\]                      ... (i)
    \[2x=y\]\[\Rightarrow \]\[x=\frac{y}{2}\] and \[2y=z\]
    From Eq. (i),
    \[4\times \frac{y}{2}+3y+5\times 2y=60\]
    \[15y=60\]\[\Rightarrow \]\[y=4\]
    \[x=2,\]\[z=8\]
    \[\therefore \]      \[{{x}^{2}}+y+z={{(2)}^{2}}+4+8=16\]     ... (ii)
    From Statement II,
    \[3x+3y+2z=34\]
    and       \[2x+5y+6z=72\]                      ... (iii)
    We cannot find the values of x, y and z from Eqs. (ii) and (iii).


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