Aptitude - Problems on Numbers - Discussion
Discussion Forum : Problems on Numbers - Data Sufficiency 2 (Q.No. 1)
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.
1.
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. |
Answer: Option
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).
Discussion:
15 comments Page 2 of 2.
Suresh maidaragi said:
1 decade ago
I hope everyone can solve this, here 1st and 2nd or 1 and 3 statements are more than enough to find the two digit number.
Solution: Consider two digit number as xy lets take 1st and 2nd statements xy-yx=27 by trial and error we can take 9 as first digit and 6 as second digit now the number become 96 right so.
From statement 1 96-67=27 from statement 2 9-6=3 or we can assume 1st and 3rd statement from 3rd we assure that 96 follows. Therefore option D is correct.
Solution: Consider two digit number as xy lets take 1st and 2nd statements xy-yx=27 by trial and error we can take 9 as first digit and 6 as second digit now the number become 96 right so.
From statement 1 96-67=27 from statement 2 9-6=3 or we can assume 1st and 3rd statement from 3rd we assure that 96 follows. Therefore option D is correct.
Shweta said:
1 decade ago
The explanation is not sufficient for me as I know there is no connection between any of the statement. Anyone can clarify it please.
Mridhula Joju said:
1 decade ago
Even with the first statement we can get both the statements 2 & 3. And from the first statement itself we can get different numbers as the answer.
Afreen said:
1 decade ago
What is the use of 3rd statement? Can anyone explain about it?
Kylin said:
8 years ago
@Afreen
Consider xy as number,
then according to 3 number it will be like
1) xy - yx=27
2) x - y=3
3) x>y
There are 10 digits 0-9.
So according to 2 second and third statement (x - y=3 and x>y).
x y xy-yx.
9 6 96-69 = 27
8 5 85-58=27
7 4 74-47=27
6 3 63-36=27
5 2 52-25=27
4 1 41-14=27.
Consider xy as number,
then according to 3 number it will be like
1) xy - yx=27
2) x - y=3
3) x>y
There are 10 digits 0-9.
So according to 2 second and third statement (x - y=3 and x>y).
x y xy-yx.
9 6 96-69 = 27
8 5 85-58=27
7 4 74-47=27
6 3 63-36=27
5 2 52-25=27
4 1 41-14=27.
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