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.
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.
Nagendra singh said:
7 years ago
The correct answer is 2 option. 1 and 3 can give the answer of the question.
From statement 1
( 10x + y) - ( 10y + x ) = 27,
9( x-y) = 27,
x-y = 3.
From the 1st statement, we get the second statement so no need of a 2nd statement
3 statement:-
The unit place is less than 3 by tens place.
So we have the condition to check;
1, 4
2, 5
3, 6
4, 7
5, 8
6, 9
By checking all condition we found a number 52.
52 - 25 = 27.
The difference of digit is also 3.
Difference of unit's place and ten's is also 3
From statement 1
( 10x + y) - ( 10y + x ) = 27,
9( x-y) = 27,
x-y = 3.
From the 1st statement, we get the second statement so no need of a 2nd statement
3 statement:-
The unit place is less than 3 by tens place.
So we have the condition to check;
1, 4
2, 5
3, 6
4, 7
5, 8
6, 9
By checking all condition we found a number 52.
52 - 25 = 27.
The difference of digit is also 3.
Difference of unit's place and ten's is also 3
(4)
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