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    Question

    The least number 'Y' which when divided by 15, 20, and 45

    leaves 2 as the remainder in each case. Find the value of ('3Y' - 5).
    A 429 Correct Answer Incorrect Answer
    B 567 Correct Answer Incorrect Answer
    C 375 Correct Answer Incorrect Answer
    D 541 Correct Answer Incorrect Answer

    Solution

    ATQ,

    As we know the least number which is divisible by 'a', 'b', and 'c' is the LCM of 'a', 'b', and 'c'.

    So, the number which is completely divisible by 15, 20, and 45 = LCM of

    15, 20, and 45 = 180

    So, 'Y' = 180 + 2 = 182

    Now,

    (3Y - 5) = (182 × 3) - 5 = 546 - 5 = 541

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