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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-33

  • question_answer
    Directions: Each question consists of a question and two statements I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the questions. Read both the statements and choose the appropriate option.                                                                                      [IBPS (PO) 2014]
    What is the total strength of institute X?
    I. Out of the total strength of institute X, 35% are females and rest are males. The number of females in institute X is equal to the number of males in institute Y.
    II. Out of the total strength of institute Y, the number of males is 560, which is 28% of the total strength.

    A) 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

    B) The data either in statement I alone or in statement II alone are sufficient to answer the question

    C) 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

    D) The data in both statements I and II together are necessary to answer the question

    E) The data even in both statements I and II together are not sufficient to answer the question

    Correct Answer: D

    Solution :

    From I, 35% are females in Institute X.
    Add the number of females in Institute X
    = Number of males in institute Y
    From II, Total number of students in institute Y
    \[=\frac{560\times 100}{28}\]
    = 2000 out of which 560 are males
    Now, from Eqs. I and II
    Number of females in institute \[X=560,\]
    which is equal to 35%, of the total strength of institute X.
    Now, total strength of institute
                            \[X=\frac{560\times 100}{35}=1600\]
    So, both the statements I and It are necessary i: answer the question.


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