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 1 of 5.
Guni said:
2 months ago
Since while specifying the ratio, the order in which the ratio is to be taken is not specified, it still poses a doubt of 26/62,
Same way for the second statement the numerator and denominator are not specified.
Both statements only tell us the digits are 2 and 6, but not in which place.
So, the answer should be D.
Same way for the second statement the numerator and denominator are not specified.
Both statements only tell us the digits are 2 and 6, but not in which place.
So, the answer should be D.
(2)
Suyash Parag Karnad said:
12 months ago
I think the Answer should be D because the order of the digits is not defined.
Condition 1:- Let x and y be the digits.
x + y = 8. Now for the ratio, it can be x : y = 1 : 3, or y : x = 1 : 3
So we have two answers, 26 and 62.
Condition 2:- Let digits be x and y.
x*y = 12. Again, x/y = 3 or y/x = 3 are the two cases.
Hence, we have two answers again, 62 or 26.
Including both of them is also not enough
Condition 1:- Let x and y be the digits.
x + y = 8. Now for the ratio, it can be x : y = 1 : 3, or y : x = 1 : 3
So we have two answers, 26 and 62.
Condition 2:- Let digits be x and y.
x*y = 12. Again, x/y = 3 or y/x = 3 are the two cases.
Hence, we have two answers again, 62 or 26.
Including both of them is also not enough
(8)
Gamya said:
1 year ago
1)x+y = 8.
Then x/y = 1/3(3x=y),
X+3x = 8,
4x = 8,
X = 2.
2) xy = 12.
Then, x/y = 3/1(x=3y).
3y×y = 12,
3y^2 = 12,
y^2 = 4,
Y = √4,
Y = 2.
Therefore anyone statement is sufficient to answer
Then x/y = 1/3(3x=y),
X+3x = 8,
4x = 8,
X = 2.
2) xy = 12.
Then, x/y = 3/1(x=3y).
3y×y = 12,
3y^2 = 12,
y^2 = 4,
Y = √4,
Y = 2.
Therefore anyone statement is sufficient to answer
(2)
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)
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)
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)
Vira said:
7 years ago
According to me, the answer is both are not sufficient. Obviously, the exact no couldn't be found.
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)
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.
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.
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