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 2 of 5.
Dhivya said:
1 decade ago
(I) Sum = 8. Ratio = 1:3 8/4 (addition of ratio) = 2. So the number = 2 6.
(II) Product of number = 12 quotient is 3. So 12/3 = 4. So the number = 3 4.
In two cases produce different number. But above solution mentioned both produce same number how?
(II) Product of number = 12 quotient is 3. So 12/3 = 4. So the number = 3 4.
In two cases produce different number. But above solution mentioned both produce same number how?
Bhaw said:
1 decade ago
When we take square root in statement II won't we a negative value as well as the quotient can be -x/-y also. So can II alone give the answer? it will give 2 or -2 which is not a definite answer as 2 answers are possible.
Kavitha said:
1 decade ago
I think option C is the correct answer because they have not asked for the same number. They have simply asked what is the number. So the two answers hold right for the given conditions. No need to go very specifically.
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.
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.
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)
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)
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.
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.
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).
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