Aptitude - Problems on Numbers - Discussion

Discussion Forum : Problems on Numbers - Data Sufficiency 2 (Q.No. 2)
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.


2.

What is the two-digit number?

I. 

Sum of the digits is 7.

II. 

Difference between the number and the number obtained by interchanging the digits is 9.

 III. 

Digit in the ten's place is bigger than the digit in the unit's place by 1.

I and II only
II and III only
I and III only
All I, II and III
None of these
Answer: Option
Explanation:

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

  I. x + y = 7.

 II. (10x + y) - (10y + x) = 9       x - y = 1.

III. x - y = 1.

Thus, I and II as well as I and III give the answer.

Correct answer is (E).

Discussion:
26 comments Page 2 of 3.

Gaurav Goyal said:   1 decade ago
I believe E is correct.

Either we can obtain the answer from 1 & 3 or from 1, 2 and 3.

Anbumani said:   3 months ago
I. x + y = 7.
III. x - y = 1.
By Adding I and III,
Then 2x = 8 => x = 4,
And y = 3.

Anurag said:   1 decade ago
I think option (c) or even (a) is correct because I'm getting just "43" as answer.

Abirami said:   2 years ago
Can anyone explain the second statement, how do we get 9? Please explain to me.

Amit Mandliya said:   1 decade ago
C should be the answer. As I & III are providing required information.

V.Keerthana said:   1 decade ago
May be C correct answer because it provides only required information.

Arjun said:   1 decade ago
I think answer will be D for sure. There is no discussion in that.

Sumanth Nakirikanti said:   1 year ago
If both options A and C are correct why would you mark option E.

Charanya said:   7 years ago
I think its option A. We get answer by I and II only.

Rutuja kapadnis said:   8 years ago
Answer is E.

Eg. 99 (99-99)=0 nd 9=9.


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