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Question

The question consists of four statements: I, II, III and IV given below it. You have to decide whether the data given in which of the following statements alone is sufficient to answer the question.

I. The product of the digits of the two-digit number is 28.

II. The difference between the digits of the two-digit numbers is 5.

III. The sum of the digits of the two-digit numbers is 12.

IV. The difference between two-digit number and 30 is 2.

A The data either in statement I alone or in statement IV alone are sufficient to answer the question. Correct Answer Incorrect Answer
B The data either in statement I alone or in statement III alone are sufficient to answer the question. Correct Answer Incorrect Answer
C The data either in statement III alone or in statement IV alone are sufficient to answer the question. Correct Answer Incorrect Answer
D The data either in statement II alone or in statement III alone are sufficient to answer the question. Correct Answer Incorrect Answer
E The data in any of the four statements I, II, III or IV alone are not sufficient to answer the question. Correct Answer Incorrect Answer

Solution

Let the 2-digit number be xy. Statement I: x × y = 28 So, it can be 7 × 4 or 4 × 7 So, data in statement I alone is not sufficient to answer the question. Statement II: x - y = 5 or y - x = 5 So, data in statement II alone is not sufficient to answer the question. Statement III: x + y = 12 So, data in statement III alone is not sufficient to answer the question. Statement IV: The number can be either 30 – 2 = 28 or 30 + 2 = 32 So, data in statement IV alone is not sufficient to answer the question.

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