Data Sufficiency

Data Sufficiency

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Data Sufficiency

Direction: Each of the question below is followed by two statement I and II. You are to determine whether the data given in the statement are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answer, Give answer

  1. What is the salary of A, in a group of A, B, C, D and E whose average salary is ₹ 65780 ?
    I. Total of the salaries of B and C is ₹ 88545.
    II. Total of the salaries of D and E is ₹ 59020.










  1. View Hint View Answer Discuss in Forum

    From the Statement I and II.
    Salary of A = 5 x 65780 - (88545 + 59020)

    Correct Option: C

    From the Statement I and II.
    Salary of A = 5 x 65780 - (88545 + 59020)
    = 328900 - 147565 = ₹ 181335
    Both Statement are required.

  1. What is the profit earned by selling a watch for ₹ 15675 ?
    I. Total cost price of 5 such watches is equal to selling price of 4 such watches.
    II. 25% profit is earned by selling each watch.










  1. View Hint View Answer Discuss in Forum

    From Statement I,
    Selling price of watch = ₹ 15675
    and the cost price of a watch = 15675 x 4/5
    = ₹ 12540
    ∴ Profit = 15675 - 12540 = ₹ 3135
    From Statement II,
    Cost price of a watch
    = 15675/100 + 25 x 100 = ₹ 12540
    ∴ Profit = 15675 - 12540 = ₹ 3135

    Correct Option: D

    From Statement I,
    Selling price of watch = ₹ 15675
    and the cost price of a watch = 15675 x 4/5
    = ₹ 12540
    ∴ Profit = 15675 - 12540 = ₹ 3135
    From Statement II,
    Cost price of a watch
    = 15675/100 + 25 x 100 = ₹ 12540
    ∴ Profit = 15675 - 12540 = ₹ 3135

Direction: Each question below is followed by two statements I and II. You are to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the possible answer.

  1. What is the three digit number ?
    I. Two-fifth of the number is half of 204.
    II. 20% of the number is 51.










  1. View Hint View Answer Discuss in Forum

    Suppose the number be P.
    From Statement I.
    P x 2/5 = 1/2 x 204

    From Statement II.
    P x 20/100 = 51

    Correct Option: D

    Suppose the number be P.
    From Statement I.
    P x 2/5 = 1/2 x 204
    ⇒ P x 2/5 = 102
    ⇒ P = 102 x 5/2
    ⇒ P = 255
    From Statement II.
    P x 20/100 = 51
    ⇒ P = 51 x 100/20
    ⇒ P = 255
    Both statements alone are sufficient to answer the above question.

  1. What is the area of the rectangular plot ?
    I. The length of the plot is 375 m.
    II. The length of the plot is thrice its breadth.










  1. View Hint View Answer Discuss in Forum

    From Statement I and II,
    Length of plot = 375 m
    Breadth of plot = 375/3 m = 125 m

    Correct Option: C

    From Statement I and II,
    Length of plot = 375 m
    Breadth of plot = 375/3 m = 125 m
    Area of rectangular plot = Length x Breadth
    Area of rectangular plot = 375 x 125 sq m = 46875 sq m

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. What is the minimum passing percentage in a test ?
    I. Raman scored 25% marks in the test and Sunil scored 288 marks which is 128 more than Raman.
    II. Raman scored 64 marks less than the minimum passing marks.










  1. View Hint View Answer Discuss in Forum

    From Statement I,
    Marks scored by Sunil 288 and marks scored by Raman = 288 - 128 = 160

    From Statement II,
    Minimum passing Marks = 160 + 64 = 224

    Correct Option: E

    From Statement I,
    Marks scored by Sunil = 288 and marks scored by Raman = 288 - 128 = 160
    ∴ Maximum marks = 160 x100/25 = 640
    From Statement II,
    Minimum passing Marks = 160 + 64 = 224
    ∴ Minimum passing percentage
    = 224 x 100 /640 = 35%
    Hence, the data in both the statements necessary to answer the question.