The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option:

What is the two – digit number?
I. The difference between the two – digit number and the number formed by interchanging the digits is 27.
II. The difference between the two digits is 3.
III. The digit at unit's place is less than that at ten's place by 3.

I and II only

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I and III only

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All I, II and III

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I, and either II or III

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None of these

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Solution

The correct option is E
None of these

Let the tens and units digit be x and y respectively.
(10x + y) - (10y + x) = 27
$⟹$ x - y = 3
Thus, all the given three statements together are not sufficient to find the answer.

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The correct option is E None of these Let the tens and units digit be x and y respectively. (10x + y) - (10y + x) = 27 ⟹ x - y = 3 Thus, all the given three statements together are not sufficient to find the answer.

The correct option is E
None of these

Let the tens and units digit be x and y respectively.
(10x + y) - (10y + x) = 27
$⟹$ x - y = 3
Thus, all the given three statements together are not sufficient to find the answer.