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    Question

    Each of the questions given below has one question and two statements marked I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.

    Is a two-digit number divisible by 5 ? I.The sum

    of the two digit of the number is 7. II. The product of the two digits of the number is 10.
    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. Correct Answer Incorrect Answer
    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. Correct Answer Incorrect Answer
    C If the data either in statement I alone or in statement II alone is sufficient to answer the question. Correct Answer Incorrect Answer
    D If the data even in both the statement I and II together are not sufficient to answer the question Correct Answer Incorrect Answer

    Solution

    From I and II, Let the two digits of the number be x and y Now, x + y = 7 and xy = 6100 (x – y)² = (x + y)² - 4xy = 7² - 4 × 10 = 49 - 40 = 9 ∴x-y = ±3 Thus, we get x = 5 and y = 2 x = 2 and y = 5 The number could therefore be 52 (not divisible by 5) or 25(divisible by 5).

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