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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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