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Problems on Numbers - Data sufficiency 1
Problems on Numbers - Data sufficiency 2
Problems on Numbers - [data sufficiency 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

    2. A.

    I alone sufficient while II alone not sufficient to answer
    B.

    II alone sufficient while I alone not sufficient to answer
    C.

    Either I or II alone sufficient to answer
    D.

    Both I and II are not sufficient to answer
    E.

    Both I and II are necessary to answer

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  2. What is the two-digit number?

    I. The difference between the two digits is 9.

     II. The sum of the digits is equal to the difference between the two digits.

    3. A.

    I alone sufficient while II alone not sufficient to answer
    B.

    II alone sufficient while I alone not sufficient to answer
    C.

    Either I or II alone sufficient to answer
    D.

    Both I and II are not sufficient to answer
    E.

    Both I and II are necessary to answer

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  3.  

    What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9.

    I. 

    The number is multiple of 51.

     II. 

    The sum of the digits a and b is 6.
    4. A.

    I alone sufficient while II alone not sufficient to answer
    B.

    II alone sufficient while I alone not sufficient to answer
    C.

    Either I or II alone sufficient to answer
    D.

    Both I and II are not sufficient to answer
    E.
    Both I and II are necessary to answer

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