Aptitude - Problems on Numbers - Discussion
Discussion Forum : Problems on Numbers - Data Sufficiency 1 (Q.No. 1)
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.
1.
What is the number? | |
I. | The sum of the two digits is 8. The ratio of the two digits is 1 : 3. |
II. | The product of the two digit of a number is 12. The quotient of two digits is 3. |
Answer: Option
Explanation:
Let the tens and units digit be x and y respectively. Then,
| I. x + y = 8 and | x | = | 1 |
| y | 3 |
I gives, 4y = 24 
y = 6.
So, x + 6 = 8 x = 2.
| II. xy = 12 and | x | = | 3 |
| y | 1 |
II gives, x2 = 36 x = 6.
So, 3y = 6 y = 2.
Therefore, Either I or II alone sufficient to answer.
Discussion:
43 comments Page 3 of 5.
UMESH said:
1 decade ago
As only quotient is stated in the second statement, there can be be remainder as well with quotient.
Like, x=quotient*y +remainder.
Which was not mentioned so statement 2 was not sufficient in itself.
Like, x=quotient*y +remainder.
Which was not mentioned so statement 2 was not sufficient in itself.
Rohit said:
1 decade ago
It tells that the quotient is 3 but nothing is mentioned about the remainder.
It may happen that the numbers are actually not divisible by one another.
It may happen that the numbers are actually not divisible by one another.
Naveet said:
10 years ago
Even it is not mentioned that number is of 2 digits. Hence all explanation is incorrect.
Abhishek PPLO said:
10 years ago
Nothing is said about the remainder in the option 2, so I think only option 1 will be correct.
Barshon said:
9 years ago
If X is 6, then it could be either +6 or -6. Hence, we will not find any unique number. So the answer would be 1. (Only statement 1 is sufficient).
Akshay said:
9 years ago
I didn't found the clear answer. Can anyone help me?
Kiran said:
9 years ago
How you get x^2 = 36? Please explain.
Cibi Nandan said:
9 years ago
1 : 3 ratio is given hence the numbering order should be the first place one part second place two parts it's 26. If 62 is written it will be 3 : 1.
Shreya said:
9 years ago
Answer should be Option D because we get two numbers 26 and 62.
Soukhin Roy said:
9 years ago
Both the statements are insufficient.
It is a 'what' type of question in DS. And in what type of question we should get one unique answer.
In statement 1 we don't know about digits in units and tens place so we will get two possible 2 digit numbers.
Problem with statement 2 is that it is mentioned that the quotient of the 2 digits is 3. Now the remainder may be or may not be 0. So we can't say that x/y =3.
It is a 'what' type of question in DS. And in what type of question we should get one unique answer.
In statement 1 we don't know about digits in units and tens place so we will get two possible 2 digit numbers.
Problem with statement 2 is that it is mentioned that the quotient of the 2 digits is 3. Now the remainder may be or may not be 0. So we can't say that x/y =3.
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