Aptitude - Problems on Numbers - Discussion
Discussion Forum : Problems on Numbers - Data Sufficiency 1 (Q.No. 2)
Directions to Solve
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
- Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
- Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
- Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
2.
What is the two-digit number? | |
I. | The difference between the two digits is 9. |
II. | The sum of the digits is equal to the difference between the two digits. |
Answer: Option
Explanation:
Let the tens and unit digits be x and y respectively. Then,
I. x - y = 9.
II. x + y = x - y.
From I and II, we get x - y = 9 and x + y = 9.
On solving, we get x = 9 and y = 0.
Required number is 90.
Thus, both I and II are needed to get the answer.
Correct answer is (E).
Discussion:
22 comments Page 1 of 3.
Gauravv said:
5 years ago
1 is sufficient because two-digit numbers with difference 9 must be 90 there is no other option.
and 2 alone is not sufficient because;
x + y = x - y
2y = 0
i.e. y must be 0 but here is a catch x can be any number so the number may be; 10,20,30,40,50,60,70,80 and 90.
So, the answer is 1 is sufficient.
and 2 alone is not sufficient because;
x + y = x - y
2y = 0
i.e. y must be 0 but here is a catch x can be any number so the number may be; 10,20,30,40,50,60,70,80 and 90.
So, the answer is 1 is sufficient.
(12)
Suresh pal said:
6 years ago
Here statement 1 only is sufficient to answer the question, as we know that the difference of digits of two digits number is 9 is only in the case of 90.
So, the statement 1 is only true.
So, the statement 1 is only true.
(3)
Tarun said:
7 years ago
Statement 1 is alone enough. Difference 9 what other than 90 got it.
Statement 2 is not alone enough : take these numbers 10, 20, 30, 40, 50. All these can be answer to it.
Statement 2 is not alone enough : take these numbers 10, 20, 30, 40, 50. All these can be answer to it.
L K Saini said:
8 years ago
Difference between the two digits is 9.
Hence only two possible ways {90,09}.
But 09 is not a two digit number.
So, I think the statement I itself is sufficient to answer.
Hence only two possible ways {90,09}.
But 09 is not a two digit number.
So, I think the statement I itself is sufficient to answer.
Bharth said:
9 years ago
@All.
Either 1 or 2 are sufficient to answer.
II. The sum of the digits is equal to the difference between the two digits.
This remember between the two digits clearly understood.
Either 1 or 2 are sufficient to answer.
II. The sum of the digits is equal to the difference between the two digits.
This remember between the two digits clearly understood.
Harsh said:
9 years ago
A should be the correct answer because the digits cannot be other than 0 and 9.
For either of the options.
Because a difference of 9 can only be produced when 9-0 are the digits you can try as many as combinations you want.
And 09 will be considered a single digit because if you are so stupid to consider 09 as a two digit then I can consider as a three digit or 4 digits etc by adding zeros in the beginning.
For either of the options.
Because a difference of 9 can only be produced when 9-0 are the digits you can try as many as combinations you want.
And 09 will be considered a single digit because if you are so stupid to consider 09 as a two digit then I can consider as a three digit or 4 digits etc by adding zeros in the beginning.
Yogesh said:
9 years ago
There are only two digits whose difference can be 9 i.e. 0 and 9.
So, we don't need 2nd one.
So, we don't need 2nd one.
(1)
Gaurav Bhansali said:
10 years ago
Tell me any other two digit number except 90 in which difference of the two digits is 9. So, I suppose only statement one is sufficient to answer the question. While second statement is applicable on 10, 20, 30, 40, 50 and so on, which makes it insufficient to answer the question.
Hemanth Kothuru said:
10 years ago
In the question it is given that difference between two digits is 9. So it is possible with 9 and 0 only.
And if difference between digits is equal to sum of digits it can be possible with any multiple of 10. So option 1 is the answer.
And if difference between digits is equal to sum of digits it can be possible with any multiple of 10. So option 1 is the answer.
Jaikishan yadav said:
10 years ago
Either one of them is sufficient.
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