Exams › IBPS PO › Quantitative Aptitude

Find the number. Statement I: The sum of the two digits of the number is 8. Statement II: After exchanging the places of the digits, the new number becomes 18 greater than the original number. Which of the following is correct?

1. If the data given in both statements I and II are necessary to answer the question.
2. If the data given in statement II alone are sufficient to answer the question whereas the data given in statement I alone are not sufficient to answer the question.
3. If the data given in either statement I or in statement II alone is sufficient to answer the question.
4. If the data given in both statements I and II are not sufficient to answer the question.

Correct answer: If the data given in both statements I and II are necessary to answer the question.

Solution

Statement I alone gives many possible numbers, and statement II alone also gives many possible numbers. Together, they form two equations that uniquely determine the digits, so both statements are necessary.

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