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 cost price of the suitcase purchased by Samir?
    I. Samir got 20 percent concession on the labeled price.
    II. Samir sold the suitcase $ 2000 with 25 percent profit on the labeled price.










  1. View Hint View Answer Discuss in Forum

    As per the given all details in above question , we have
    Let the labelled price be $100.
    From statement I , Concession on the labeled price = 20%
    From statement II , Samir sold the suitcase = $ 2000 and profit = 25%
    Combing both the statements together,
    Now, SP of the suitcase = 125% of 100 = $125

    ∴ Labelled price = 2000 x 100 = $ 1600
    125

    Correct Option: E

    As per the given all details in above question , we have
    Let the labelled price be $100.
    From statement I , Concession on the labeled price = 20%
    From statement II , Samir sold the suitcase = $ 2000 and profit = 25%
    Combing both the statements together,
    Now, SP of the suitcase = 125% of 100 = $125

    ∴ Labelled price = 2000 x 100 = $ 1600
    125

    ∴ CP of the suitcase = 1600 x 3 = $ 1200
    4

  1. What is the height of a triangle?
    I. The area of the triangle is 20 times its base.
    II. The perimeter of the triangle is equal to the perimeter of a square of 10 cm side.








  1. View Hint View Answer Discuss in Forum

    On the basis of above given details in question ,
    Let b be the base of triangle and h be height of triangle .
    From statement II , The perimeter of the triangle = The perimeter of a square of 10 cm side.
    ⇒ 2s = 4 x 10 = 40 ⇒ s = 40 / 2 = 20 cm
    From statement I , The area of the triangle = 20 x base.
    ⇒ ( 1 / 2 ) x b x h = 20 x b
    ⇒ h = 20 x 2 = 40 cm
    Hence , the height of a triangle = 40 cm

    Correct Option: A

    On the basis of above given details in question ,
    Let b be the base of triangle and h be height of triangle .
    From statement II , The perimeter of the triangle = The perimeter of a square of 10 cm side.
    ⇒ 2s = 4 x 10 = 40 ⇒ s = 40 / 2 = 20 cm
    From statement I , The area of the triangle = 20 x base.
    ⇒ ( 1 / 2 ) x b x h = 20 x b
    ⇒ h = 20 x 2 = 40 cm
    Hence , the height of a triangle = 40 cm
    Thus , the height can be determined with the help of statement I alone. correct answer is A .

  1. What percentage rate of simple interest per annum did Ashok pay to Sudhir?
    I. Ashok borrowed $ 8000 from Sudhir for four years.
    II. Ashok returned $ 8800 to Sudhir at the end of two years and settled the loan.










  1. View Hint View Answer Discuss in Forum

    From statement I , Borrowed amount for four years ( P ) = $ 8000
    From statement II , Returned amount ( A ) = $ 8800 , Time = 2 years
    From statement I and II , we get
    Compound Interest ( C.I. ) = A - P = 8800 - 8000 = $ 800
    According to question,
    Combining both the statements together,

    Correct Option: E

    From statement I , Borrowed amount for four years ( P ) = $ 8000
    From statement II , Returned amount ( A ) = $ 8800 , Time = 2 years
    From statement I and II , we get
    Compound Interest ( C.I. ) = A - P = 8800 - 8000 = $ 800
    According to question,
    Combining both the statements together,

    Rate of interest =
    800
    		 x 100 = 5 %
    2 x 8000

  1. What is the speed of a running train?
    I. The train crosses a signal post in 6 seconds.
    II. The train crosses another train running in the opposite direction in 15 seconds.








  1. View Hint View Answer Discuss in Forum

    On the basis of above given details in question , we have
    From statement I , Time taken in crosses a signal post = 6 seconds
    From statement II , Time taken in crosses a another train = 15 seconds

    Correct Option: D

    On the basis of above given details in question , we can say that
    From statement I , Time taken in crosses a signal post = 6 seconds
    From statement II , Time taken in crosses a another train = 15 seconds
    Data even in both statements I and II together are not sufficient to answer the question.

  1. How many children are there in the class?
    I. Numbers of boys and girls are in the respective ratio of 3 : 4.
    II. Number of girls is more than the number of boys by 18.










  1. View Hint View Answer Discuss in Forum

    On the given all information in above question , we can say that
    From I : Ratio of boys and girls = 3k : 4k
    From II : Number of girls − Number of boys = 18
    From I and II : 4k − 3k = 18

    Correct Option: E

    On the given all information in above question , we can say that
    From I : Ratio of boys and girls = 3k : 4k
    From II : Number of girls − Number of boys = 18
    From I and II : 4k − 3k = 18
    ∴ k = 18
    Now , total number of children in the class = Number of boys + Number of girls
    ∴ 4k + 3k = 7 × 18 = 126.
    Hence , Combining statement I and statement II .