Data Sufficiency


Direction: These question consists of a question and two statement numbered I and II given below it . You have to decide whether the data provided in the statement are sufficient the data provided in the statements are sufficient to answer the question . read both the statements and select the appropriate answer.

  1. How is the 'cost' written in the given code language ?
    I. In the coded as '@ 0 # 9' and 'cost was very high' is coded as '& 6 # 1' .
    II. In the code language 'some cost was discunt' is coded as '1 8 7 #' . and 'some people like discount'.is coded as '8 7 5 %' .









  1. View Hint View Answer Discuss in Forum

    From Statement I,
    tell me the cost → @ 0 # 9
    cost wase very high → & 6 # 1
    ⇒       cost → #
    From Statement II ,
    Some cost was discount → 1 6 7 #
    Some people like discount → 8 7 5 %
    ⇒       some discount → 8 7 and cost → either 1 or #
    Thus we can the code of 'cost' from Statement I only.
    Hence, data in Statement I alone are sufficient to answer the question.

    Correct Option: D

    From Statement I,
    tell me the cost → @ 0 # 9
    cost wase very high → & 6 # 1
    ⇒       cost → #
    From Statement II ,
    Some cost was discount → 1 6 7 #
    Some people like discount → 8 7 5 %
    ⇒       some discount → 8 7 and cost → either 1 or #
    Thus we can the code of 'cost' from Statement I only.
    Hence, data in Statement I alone are sufficient to answer the question.


Direction: Each of the questions below consists of two statements numbered I and II given below it. You are to decide whether the data provided in the statements are sufficient to answer the questions. Read both statements and give the answer

  1. What is the ratio of two numbers x and y ?
    I. 40% of x is 20% of 50.
    II. 30% of y is 25% of 72.











  1. View Hint View Answer Discuss in Forum

    Statement I,
    40/100 xx = 20/100 x 50 ⇒ x = 25
    Statement II,
    30/100 x y = 25/100 x 72 ⇒ y = 60
    From both statements,
    x : y = 25 : 60 = 5 : 12

    Correct Option: E

    Statement I,
    40/100 xx = 20/100 x 50 ⇒ x = 25
    Statement II,
    30/100 x y = 25/100 x 72 ⇒ y = 60
    From both statements,
    x : y = 25 : 60 = 5 : 12



Direction: Each of the following questions is followed by information in three statements. You are to find out which statement(s) is /are sufficient to answer the question and mark your answer accordingly.

  1. What is the average age of the six member A, B, C, D, E and F in the family ?
    I. Average age of D and E is 14 yr.
    II. Average age A, B, C and F is 50 yr.
    III. Average age of A, B, D and E is 40 yr.









  1. View Hint View Answer Discuss in Forum

    From Statement I,
    D + E = 14 x 2 = 28
    From Statement II,
    A + B + C + D + E + F = 4 x 50 = 200
    (A + B + C + D + E + F)/6 = 28 + 200/6

    Correct Option: A

    From Statement I,
    D + E = 14 x 2 = 28
    From Statement II,
    A + B + C + D + E + F = 4 x 50 = 200
    (A + B + C + D + E + F)/6 = 28 + 200/6
    = 228/6 = 38
    ∴ Statement I and II are sufficient to answer the question.


  1. In how many days 14 men can complete a piece of work ?
    I. if 18 women can complete the same piece of work in 24 days.
    II. if 28 children can complete the same piece of work in 56 days.











  1. View Hint View Answer Discuss in Forum

    More data is required.

    Correct Option: E

    More data is required.



Direction: Each of the questions below consists of two statements numbered I and II given below it. You are to decide whether the data provided in the statements are sufficient to answer the questions. Read both statements and give the answer

  1. What will be the difference between two numbers ?
    I. The square of the first number is 9 times the second number .
    II. The ratio of the first number to the second number is 3 : 4.











  1. View Hint View Answer Discuss in Forum

    Suppose, numbers be x and y.
    Statement I. x2 = 9y
    Statement II, x/y = 3/4

    Correct Option: E

    Suppose, numbers be x and y.
    Statement I. x2 = 9y
    Statement II, x/y = 3/4
    From both statement, we get
    x = 12 and y = 16