What is the two digit number I The number obtained by interchanging the digits of the...........

Math and Mental Ability Data Sufficiency

What is the two digit number?

I. The number obtained by interchanging the digits of the number is greater than the original number by 18.

II. Sum of the two digits of the number is 14.

III. Difference between the two digits of the number is 2.

All the three

Only I & either II or III

Only II & III

Any two of the three

- Statement I: When the digits are swapped, the number increases by 18. This indicates a specific difference between the digits.

- Statement II: The sum of the digits is 14. This gives a relationship between them.

- Statement III: The digits differ by 2. This gives another relationship.

Analyzing Options:

- Option 1: All three statements give enough information, but they are not all needed.

- Option 2: Statement I provides the equation involving a difference. With either Statement II or III, it can help determine the exact digits.

- Option 3: Only II and III together do not allow calculation without interchange information.

- Option 4: Any two don't always give enough certainty.

The correct option is Option 2: Only I & either II or III, as they are sufficient to find the number.

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