Question

    In the given problem, two quantities, I and II, are presented. You are required to solve both quantities and determine the correct relationship between them.

    Quantity-I: 'Asmita' is able to finish 32% of a task in 16 days. 'Ben' can complete the same task in 10 days fewer than 'Asmita'. Calculate the time it would take for both 'Asmita' and 'Ben' to complete 90% of the task together.

    Quantity-II: 18 days

    A Quantity-I > Quantity-II Correct Answer Incorrect Answer
    B Quantity-I < Quantity-II Correct Answer Incorrect Answer
    C Quantity-I = Quantity-II or no relation Correct Answer Incorrect Answer
    D Quantity-I ≥ Quantity-II Correct Answer Incorrect Answer
    E Quantity-I ≤ Quantity-II Correct Answer Incorrect Answer

    Solution

    ATQ, Quantity I: Time taken by ‘Asmita’ to complete the whole task = 16/0.32 = 50 days Time taken by ‘Ben’ to complete the whole task = 50 – 10 = 40 days Let the total task be = 200 units Efficiency of ‘Asmita’ = 200/50 = 4 units/day Efficiency of ‘Ben’ = 200/40 = 5 units/day Required time taken = 0.9 × 200/9 = 20 days Quantity II: 18 days

    Practice Next