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 5 of 5.
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)
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)
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)
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