Data Sufficiency

Data Sufficiency

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Data Sufficiency

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. In how many days will B alone complete the work ?
    I. A and B together can complete the work in 8 days.
    II. B and C together can complete the work in 10 days.
    III. A and C together can complete the work in 12 days.








  1. View Hint View Answer Discuss in Forum

    (A + B)'s 1 day's work = 1/8 .........(i)
    (B + C)'s 1 day's work = 1/10 ...........(ii)
    (C + A)'s 1 day's work = 1/12 ..............(iii)
    Add the equation 1 , 2 and 3 and Solve the equation.

    Correct Option: C

    (A + B)'s 1 day's work = 1/8 ..........(i)
    (B + C)'s 1 day's work = 1/10 ..........(ii)
    (C + A)'s 1 day's work = 1/12 ............(iii)
    Add the equation (i), (ii), (iii)
    2(A + B + c)'s 1 day's work = 1/8 + 1/10 + 1/12
    (A + B + C)'s 1 day's work = 1/2[1/8 + 1/10 + 1/12] ..........(iv)
    Subtracting Eq. (iii) from Eq. (iv), we get B's 1 day's work.
    then, required number of days = 1/(B's 1 day's work) .
    So we need all above 3 statements to solve the given question.

  1. What is the rate of interest percentage per annum ?
    I. An amount doubles itself at simple interest in 10 yr.
    II. Difference between the compound interest and simple interest on an amount of ₹ 15000 in 2 yr is ₹ 150.
    III. The compound interest calculated after 8 yr is more than the amount principle.










  1. View Hint View Answer Discuss in Forum

    From Statement I,
    SI = PRT/100

    From Statement II,
    Difference (D) = PR2/(100)2

    Correct Option: E

    From Statement I,
    SI = PRT/100
    ⇒ P = (P x R x 10)/100
    ⇒ R = 10%


    From Statement II,
    Difference (D) = PR2/(100)2
    ⇒ 150 = (15000 x R2)/10000
    ⇒ R = 10%

    Thus, either Statement I or II is sufficient.

  1. What is the mark scored by Abhijit in English ?
    I. Marks scored by Abhijit In Mathematics are more than his marks in Science by 20.
    II. Total marks scored by Abhijit in Mathematics, Science and English are 197.
    III. Marks scored by Abhijit in Science are more than his marks in English by 12.










  1. View Hint View Answer Discuss in Forum

    From Statement I and III,
    Let marks in English be x
    Marks in Science = x + 12
    and marks in Mathematics = x + 32
    From Statement II,
    E + S + M = 197

    Correct Option: C

    From Statement I and III,
    Let marks in English be x
    Marks in Science = x + 12
    and marks in Mathematics = x + 32
    From Statement II,
    E + S + M = 197
    x + x + 12 + x + 32 = 197
    ⇒ 3x + 44 = 197
    ⇒ 3x = 197 - 44 = 153
    ⇒ x = 51
    ∴ Marks in English = 51

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.

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.