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 4 of 5.
Pawan Kumar said:
8 years ago
How yo got x^2 =36?
Please explain me.
Please explain me.
Rakesh Joshi said:
8 years ago
Here is asking what is the number. Hence in question, he wants to know the exact number. But the statement I and statement II not alone can find the unique number and be using both of the statement we again not uniquely find the exact number. Hence its answer must be D) Neither I nor II.
Aksh! said:
8 years ago
Option A should be the answer for this question.
As we can see from the 1st statement, the ratio is given according to the ten's and one's digits respectively. Therefore we can find the number, that is to say, 26.
But statement 2 alone is not sufficient as it may denote both 26/62.
As we can see from the 1st statement, the ratio is given according to the ten's and one's digits respectively. Therefore we can find the number, that is to say, 26.
But statement 2 alone is not sufficient as it may denote both 26/62.
Dev said:
8 years ago
Answer should be 1. We can find the answer by statement 1. But not by 2 as -2 and -6 can also be valid.
Nishant Kakar said:
8 years ago
Sir there no specific answer to the question as the set of solutions possible contains: (2, 6) or (6, 2) So the two solutions can't produce single element in the answer set. So the answer should be D.
Chalapathi malisetty said:
8 years ago
1 number is 26.
2 number is 62.
So anyone number was correct individually thas why option c.
2 number is 62.
So anyone number was correct individually thas why option c.
(1)
Vira said:
7 years ago
According to me, the answer is both are not sufficient. Obviously, the exact no couldn't be found.
Siddharth said:
7 years ago
I have a doubt, if we consider the first statement it says the sum of two digits is 8 and their ratio is 1:3, but it does not say whether the ratio is of units digit to tens digit or tens to units. So even if we get 2 and 6 the number can be either 26 or 62 even by considering only the first statement. In the solution, it has been assumed that the ratio is of tens to units digit. This seems wrong and the answer must be D.
(3)
Dhims said:
5 years ago
How can we decide that number is an only two-digit number?
It can be three or four or maybe greater digit number thus I think the answer should be 'D' (Both I and II are not sufficient to answer).
It can be three or four or maybe greater digit number thus I think the answer should be 'D' (Both I and II are not sufficient to answer).
(1)
Ankit Kumar said:
1 year ago
In this question, 62 or 26 could be the answer. So, according to me, option C is incorrect and option D is correct.
(3)
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