Data Sufficiency

Data Sufficiency

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Data Sufficiency

Direction: Each of the questions 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 statements are sufficient to answer the question. Read both the statements and Read both the statements and give answer

  1. What was the speed of the running train?
    I. Length of the train was 120 m.
    II. The train crossed the other train whose length was 180 m in 4 sec.










  1. View Hint View Answer Discuss in Forum

    From statement I , Length of the train = 120 m
    From statement II , Length of the other train = 180 m and time taken = 4 sec
    Combining both the statements, we get

    The speed of train = Length of the first train + Length of the second train Km/h.
    Time taken

    Correct Option: E

    From statement I , Length of the train = 120 m
    From statement II , Length of the other train = 180 m and time taken = 4 sec
    Combining both the statements, we get

    The speed of train = Length of the first train + Length of the second train Km/h.
    Time taken

    The speed of train = 180 + 120x18 = 270 Km/h.
    45

  1. What is the difference between two numbers?
    I. First number is 60 percent of the other number.
    II. 50 percent of the sum of first and second numbers is 24.










  1. View Hint View Answer Discuss in Forum

    On the basis of above given details in question ,
    Let two numbers are a and b respectively .
    From statement I , a = 60% of b,
    From statement I , a = 60% of b,

    a = 60 x b.
    100

    a = 6b,.
    10

    ⇒ 10a - 6b = 0

    Correct Option: E

    On the basis of above given details in question ,
    Let two numbers are a and b respectively .
    From statement I , a = 60% of b,

    a = 60 x b.
    100

    a = 6b,.
    10

    ⇒ 10a - 6b = 0 ⇒ 5a - 3b = 0
    From statement II , (a + b) x 50% = 24
    ∴ a + b = 2 x 24 = 48
    On solving both equations of a and b , we get a = 18 and b = 30
    The difference between two numbers = 30 - 18 = 12

  1. What is the ratio of the number of boys and girls in a school?
    I. Number of boys is 40 more than the girls.
    II. Number of girls is 80 percent of the number of boys.








  1. View Hint View Answer Discuss in Forum

    On the basis of above given details in question , we can say
    From statement I , B − G = 40

    From statement II , G = 80% of B = 4 B.
    5

    Correct Option: B

    On the basis of above given details in question , we can say
    From statement I , B − G = 40

    From statement II , G = 80% of B = 4 B.
    5

    ∴ B : G = 5 : 4
    Hence , the ratio of the number of boys and girls in a school is 5 : 4 .
    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.

  1. What will be the cost of painting of the inner wall of a room if the rate of painting is $ 20 per.m2?
    I. Perimeter of the floor is 44 feet.
    II. Height of the wall of the room is 12 feet.








  1. View Hint View Answer Discuss in Forum

    As per the given above question ,
    Given , The rate of painting = $ 20 per m2
    From statement I , Perimeter of the floor = 44 feet
    ⇒ 2( L + B ) = 44 ⇒ ( L + B ) = 44 / 2 = 22 feet
    From statement II , Height of the wall of the room = 12 feet
    From the statement I, we will get the sum of length and breadth

    Correct Option: D

    As per the given above question ,
    Given , The rate of painting = $ 20 per m2
    From statement I , Perimeter of the floor = 44 feet
    ⇒ 2( L + B ) = 44 ⇒ ( L + B ) = 44 / 2 = 22 feet
    From statement II , Height of the wall of the room = 12 feet
    From the statement I, we will get the sum of length and breadth, but we need individual values of length and breadth.

  1. How many items did the distributor purchase?
    I. The distributor purchased all the items for $ 4500.
    II. If the distributor had given $ 5 more for each item he would have purchased 10 items less.










  1. View Hint View Answer Discuss in Forum

    From statement I,

    Rate of an item = 4500=....(1)
    n

    Here, n = total number of items
    Combining statement II and (i), we have
    4500 + 5 ( n - 10 ) = 4500
    n

    Correct Option: E

    From statement I,

    Rate of an item = 4500=....(1)
    n

    Here, n = total number of items
    Combining statement II and (i), we have
    4500 + 5 ( n - 10 ) = 4500
    n

    ⇒ n2 - 10n - 9000 = 0 ∴ n= 100
    Hence, both statements together are sufficient.