Aptitude - Problems on Numbers - Discussion

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"The secret to creativity is knowing how to hide your sources."

- Albert Einstein

Directions to Solve

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

What is the two-digit number?
I.
The difference between the tow-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.

[A].	I and II only
[B].	I and III only
[C].	All I, II and III
[D].	I, and either II or III
[E].	Even with all I, II and III, answer cannot be give.

Answer: Option C

Explanation:

Let the tens and units digit be x and y respectively.

I. (10x + y) - (10y + x) x - y = 3.

II. x - y = 3.

III. x - y = 3.

Thus, even all the given three statements together do not give the answer.

Correct answer is (E).

Shibi said: (Fri, Jan 28, 2011 03:30:19 AM)

But we can say the answer will be 52 then how can we tell that we can't be able to get the answer with the clues.

Swapna said: (Mon, Feb 7, 2011 11:59:16 PM)

Yes. The answer is 52. And it can be solved with 1 & 3 statements only.

Anay said: (Wed, Apr 27, 2011 06:47:04 AM)

The answer can be 63 also so I guess there is enoug amiguity in the question itself.

Rekha said: (Thu, Oct 20, 2011 12:03:09 AM)

I m not able to understand the 1st statement.

Karthik said: (Sun, Jan 29, 2012 11:47:11 PM)

No, I think the answer is E. Because if you try to solve the statement 1 then you will end up with the same result as that of 2nd and 3rd statement. So you can't solve the problem.

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Aptitude - Problems on Numbers - Discussion

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