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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-25

  • 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 statements are sufficient to answer the question. Read both the statements and give answer.                                                                                                 [BOI (PO) 2010]
    In how many days will five women complete a work?
    I. Two women, five boys and three met together complete the work in eight days
    II. Six women complete the same work in sixteen days

    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 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: B

    Solution :

    From statement I,
    No equivalence relation among a woman, a boy and a man can be established.
    From statement II, \[{{M}_{1}}{{D}_{1}}={{M}_{2}}{{D}_{2}}\]
    \[\Rightarrow \]               \[6\times 16=5\times {{D}_{2}}\]
    \[\Rightarrow \]               \[{{D}_{2}}=\frac{6\times 16}{5}=\frac{96}{5}=19\frac{1}{5}\text{days}\]


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