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.
Shyam lohani said:
1 decade ago
Reminder is not given in the second part of the question so how we can surely says that quotient is 3 with no reminder.
Arnab Roy said:
1 decade ago
The number has been asked for. Not the digits. Sorry @Kamaneeya there is no valid reason for C to be the correct answer. I Stand for D.
Abhishek said:
1 decade ago
I agree it should be D as we can never find out which is unit place and which is at tens place.
Anubhav Saini said:
1 decade ago
But you still don't know the number, it can be 26 or 62?
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.
Ch M P Prakas said:
1 decade ago
I think we can't decide whether it is 26 or 62 but we got a number as answer so it is right.
And Shyam Lohani hai Initially I got the same doubt check the two conditions in second part already xy=12 is given so the possibility of getting remainder in x/y doesn't exist. Hope you understand.
And Shyam Lohani hai Initially I got the same doubt check the two conditions in second part already xy=12 is given so the possibility of getting remainder in x/y doesn't exist. Hope you understand.
Vipul Tibrewal said:
1 decade ago
Although the first statement gives that the ratio is 1:3, it can be assumed that the first and second digit are in ration 1:3, however, the second statement is vague and doesn't provide the details of the position of digits.
The question may be asked as the sum of digits rather than the actual number.
The question may be asked as the sum of digits rather than the actual number.
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?
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.
Kavitha said:
1 decade ago
Hai @Divya.
They have given x*y=12 and x/y=3 in the second condition. So you have to use the condition. We cannot simply assume 12/3=4. If we use the condition x/y=3 we get x/3=y. Substitute in x*y=12. We get x*x=36 therefore x=6. Y=2. Hope you get it.
They have given x*y=12 and x/y=3 in the second condition. So you have to use the condition. We cannot simply assume 12/3=4. If we use the condition x/y=3 we get x/3=y. Substitute in x*y=12. We get x*x=36 therefore x=6. Y=2. Hope you get it.
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