New Enroll in RBI Gr B 2025 Exclusive New Batch on March 18

    Question

    Two statements, "I and II," are given below. Decide if the provided data is enough to answer the question.

    What is the value of 'p'? Statement I: A group

    of (p + 16) boys can finish a task in 10 days, while a group of (p + 6) girls can finish the same task in 15 days. Each boy and girl has an efficiency of (3p + 18) and (2p + 32), respectively. Statement II: A group of (p - 11) laborers can complete the task in 12 days, while (p - 4) laborers can complete it in 10 days.
    A The data in statement II alone are sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question. Correct Answer Incorrect Answer
    B The data either in statement I alone or in statement II alone is sufficient to answer the question. Correct Answer Incorrect Answer
    C The data given in both statements I and II together is not sufficient to answer the question. Correct Answer Incorrect Answer
    D The data in statement I alone are sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question. Correct Answer Incorrect Answer
    E The data in both statements I and II together is necessary to answer the question. Correct Answer Incorrect Answer

    Solution

    ATQ, Statement I: (p + 16) × 10 × (3p + 18) = (p + 6) × 15 × (2p + 32) Or, 30 × (p + 16) × (p + 6) = 30 × (p + 6) × (p + 16) Or, 30 = 30 We cannot solve the equation further. So, data in statement I alone is not sufficient to answer the question. Statement II: Let the efficiency of each labour be 'a' units/day So, (p - 11) × 12 × a = (p - 4) × 10 × a Or, 6p - 66 = 5p - 20 Or, 'p' = 46 So, data in statement II alone is sufficient to answer the question. Therefore, data in statement II alone are sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

    Practice Next