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Aptitude - Problems on Numbers - Discussion

Discussion Forum : Problems on Numbers - Data Sufficiency 1 (Q.No. 1)
Problems on Numbers
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.

I alone sufficient while II alone not sufficient to answer
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
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:
44 comments Page 5 of 5.
Sapto said:   1 decade ago
The result may be 62 or 26. Here we're not getting any unique answer. So answer will be D.
Gaurav said:   1 decade ago
Unit & tens are not recognizable from the statement. So answer should be D.
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.
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.
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