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 2 of 3.
Sourabh said:
1 decade ago
In 2nd statement, we have no of ways like 10 whose sum and difference is equal, and 20, 30, 40.. 90 whose sum and diff is equal.
So we are not sure about the number. So State 1 alone is sufficient.
So we are not sure about the number. So State 1 alone is sufficient.
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)
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.
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.
Mukesh rai said:
1 decade ago
Here we have to find out the 2 digits no. whose difference is 9 and this is possible when one digit is 9 and other is 0
Here we have only option that the no. is 90
Here we have only option that the no. is 90
Kumail khurram said:
1 decade ago
From 1 we have 90 or 09 and 09 is not a two digit no. So no. Has to be 90. So 1 alone is sufficient.
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)
Baba said:
1 decade ago
You can reverse the subset of x and y as you have considered.
Statement I alone is enough.
Statement I alone is enough.
Tanujkumar said:
1 decade ago
How can you say x-y = 9? It could be y-x = 9 also then answer will be 09?
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