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    Question

    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. 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.
    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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