Data Sufficiency

Data Sufficiency

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Data Sufficiency

Direction: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to study the questions and decide the data in which of the statements are sufficient to answer the questions.

  1. What is the price of 1 dozen oranges?
    I. Price of 2 dozen oranges and 1 dozen banana is $110.
    II. Price of 3 dozen apples and 1 dozen banana is $170.
    III. Price of 1 dozen oranges and 1 dozen apples is $95.










  1. View Hint View Answer Discuss in Forum

    As per given above statements , we have
    Let, the price of 1 dozen oranges, 1 dozen banana and 1 dozen apples be x, y and z, respectively.
    I. Price of 2 dozen oranges and 1 dozen banana = $110
    ⇒ 2x + y = 110
    II. Price of 3 dozen apples and 1 dozen banana = $170
    ⇒ 3z + y = 170
    III. Price of 1 dozen oranges and 1 dozen apples = $95
    ⇒ x + z = 95

    Correct Option: E

    As per given above statements , we have
    Let, the price of 1 dozen oranges, 1 dozen banana and 1 dozen apples be x, y and z, respectively.
    I. Price of 2 dozen oranges and 1 dozen banana = $110
    ⇒ 2x + y = 110
    II. Price of 3 dozen apples and 1 dozen banana = $170
    ⇒ 3z + y = 170
    III. Price of 1 dozen oranges and 1 dozen apples = $95
    ⇒ x + z = 95
    we find the price of 1 dozen oranges .So, by combining all, we get the values of x = 45.

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

  1. Whose body weight is scored highest among the five boys Arun, Vinay, suraj, Raju and Pratap ?
    I. Average weight of Arun, Suraj and Vinay is 68 kg and average weight of Raju and Pratap is 72 kg. Also, Suraj is 78 kg, Raju is 68 kg and Vinay is 46 kg.
    II. Average weight of Arun, Surai, Vinay and Raju is 68 kg and also Suraj is 78 kg, Raju is 68 kg and Vinay is 46 kg. All of them have different weight.










  1. View Hint View Answer Discuss in Forum

    From Statement I,
    Total weight of Arun, Suraj and Vinay = 3 x Average weight = 3 x 68 kg
    ∴ Arun's weight = 3 x 68 - (78 + 46) = 80 kg

    From statement II,
    Total weight of Arun, Suraj, Vinay and Raju = 4 x 68 = 272 kg
    ∴ Arun's weight = 272 - (78 + 68 + 46)

    Correct Option: C

    From Statement I,
    Total weight of Arun, Suraj and Vinay = 3 x Average weight = 3 x 68 kg
    ∴ Arun's weight = 3 x 68 - (78 + 46) = 80 kg
    Now, total weight of Raju and Pradeep = 2 x 72 = 144 kg
    ∴ Pratap's weight = 144 - 68 = 76 kg
    ∴ Second highest weight = 78 kg
    (Suraj's weight)
    From statement II,
    Total weight of Arun, Suraj, Vinay and Raju = 4 x 68 = 272 kg
    ∴ Arun's weight = 272 - (78 + 68 + 46)
    ∴ Arun's weight = 272 - 192 = 80 kg
    ∴ Second highest weight = 78 kg (Suraj's weight)

Direction: Each of the question given below consists of a question and three statement number I, II, and III. You have to decide whether the data provided in the statement are sufficient to answer the question.

  1. The re are six letter W, A, R, S, N, aad E. Is 'answer'the word formed after performing the following operations using these six letter only ?
    I. E is placed fourth to the right of A. S is not placed immediately next to either A or E.
    II. R is placed immediately next (either left or right to E. W is placed immediately next (either left or right) to S.
    III. Both N and W are placed immediately next to S. the word dose not begin with R. A is not placed immediaiately next to W.








  1. View Hint View Answer Discuss in Forum

    if the data in all the Statement I,II and III together are necessary to answer the question

    Correct Option: D

    if the data in all the Statement I,II and III together are necessary to answer the question

  1. Point D is in which direction with respect to point B ?
    I. Point A is to the West of point B. point C is to the North of point D is to the South of point C.
    II. point G is to the south of point D. point G is 4m from point B. point D is 9 m from point B.
    III. point A is to the west of point B. point B is exactly midway between point A and E. point F is to the South of point E. point D is to the West of point F.








  1. View Hint View Answer Discuss in Forum

    The data given both the Statement I, II and II together are not sufficient to answer the question.

    Correct Option: D

    The data given both the Statement I, II and II together are not sufficient to answer the question.

  1. Among six people P, Q, R, S, T and V each live on a different floor of a six storey building havng six floors numbered one to six (the ground floor is numbered 1, the floor above it, number 2 and so on and the topmost floor is numbered 6). Who lived on the topmost floor ?
    I. there is only one floor between the floors on which R and Q live, P lives on an even numbered floor.
    II. T does not live on an even numbered floor. Q lives on an even numbered floor Q dose not live on the topmost floor.
    III. S lives on an odd numbered floor. there are two floors between the floor on which S and P lives on a floor immediately above R'e floor .








  1. View Hint View Answer Discuss in Forum

    The data in Statement I, II and III together are necessary to answer the question .

    Correct Option: D

    The data in Statement I, II and III together are necessary to answer the question .