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Data Handling Test - 6

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Data Handling Test - 6
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  • Question 1
    1 / -0
    There are 5 orange candies and 9 mango candies in a packet. If a boy takes one candy out of the pack, then what is the probability that it is an orange candy?
    Solution
    Total number of candies in packet = 14
    Number of orange candies in packet = 5
    The probability of getting orange candy =
    Hence, option (1) is correct.
  • Question 2
    1 / -0
    Directions: Study the given data and answer the following question.

    The histogram represents the savings (in Rs. thousand) of 169 people in a bank.



    How many people have savings of more than or equal to Rs. 70,000 in the bank?
    Solution
    Number of people who have savings of more than or equal to Rs. 70,000 = 43 + 37 + 22 = 102
    Hence, option (2) is correct.
  • Question 3
    1 / -0
    Directions: Study the given data and answer the following question.

    The histogram represents the savings (in Rs. thousand) of 169 people in a bank.



    If people who have savings below Rs. 60,000 are below poverty line, then find out the number of people below poverty line.
    Solution
    Here, people below poverty line = 21 + 12 = 33
    Hence, option (3) is correct.
  • Question 4
    1 / -0
    Directions: Study the given data and answer the following question.
    The histogram represents the savings (in Rs. thousand) of 169 people in a bank.


    People who have above Rs. 90,000 in their account are considered prosperous. How many people are prosperous?
    Solution
    Number of prosperous people = 22

    Hence, option (2) is correct.
  • Question 5
    1 / -0
    What is the probability of getting a prime number when a dice is thrown?
    Solution
    A dice has numbers 1 to 6, so out of these, prime numbers are 2, 3 and 5.
    Number of prime numbers = 3
    Total number of outcomes = 6
    So, the probability of getting a prime number =
    Hence, option (2) is correct.
  • Question 6
    1 / -0
    Directions: The table given below shows the number of cars sold (in thousands) in different years. Study the table carefully and answer the given question.

    Years Sale of cars (in thousands)
    2000 - 2001 15
    2001 - 2002 17
    2002 - 2003 16
    2003 - 2004 20
    2004 - 2005 25

    How many cars (in thousands) were sold after year 2003?
    Solution
    The number of cars sold after 2003 (in thousands) = 20 + 25 = 45

    Hence, option (3) is correct.
  • Question 7
    1 / -0
    Directions: Study the given pie chart carefully and answer the question that follows.





    The pie chart above gives the number of kids who like different cartoon characters. If the total number of kids is 720, then which of the following cartoon characters is liked by 144 kids?
    Solution
    Number of kids who like Mickey = = 144

    Number of kids who like Shinchan = = 144

    Number of kids who like Pokemon = = 180

    Number of kids who like Naruto = = 216

    Number of kids who like Doremon = = 36
    Therefore, both Mickey and Shinchan are liked by 144 kids; but among the given options, only Mickey is present.
    Hence, option (3) is correct.
  • Question 8
    1 / -0
    The probability of an event can never be
    Solution
    Probability of an event =

    Probability is greater than 1 means the number of favourable outcomes is greater than the total number of outcomes. This is not possible.
    For example, when a dice is rolled, then there can never be 7 favourable outcomes because a dice has only 6 faces.
    Therefore, the probability of every event is less than 1.
    Hence, option (3) is correct.
  • Question 9
    1 / -0
    Of 150 people, only 64 like Pepsi and the remaining like Coke. If a person is selected at random, then what is the probability that he likes Coke?
    Solution
    Total number of people = 150

    Number of people who like Coke = 150 - 64 = 86

    So, the probability of a person liking Coke =

    (Note: 86 = Number of favourable outcomes, 150 = Total number of outcomes)

    Hence, option (1) is correct.
  • Question 10
    1 / -0
    The size of each class into which a range of a variable is divided, as represented by the divisions of a histogram or bar chart, is known as
    Solution
    The size of each class into which a range of a variable is divided, as represented by the divisions of a histogram or bar chart, is known as class interval.
  • Question 11
    1 / -0
    The ____ of a set of data is the difference between the highest and lowest values in the set.
    Solution
    The range of a set of data is the difference between the highest and lowest values in the set.

    Hence, option (1) is correct.
  • Question 12
    1 / -0

    Directions For Questions

    Directions: Study the given graph carefully and answer the question that follows.

    ...view full instructions

    In which of the following years was the increase in car sales maximum as compared to its previous year?
    Solution
    In 2001, the increase in car sales was [35 - 25] thousands = 10,000
    In 2002, the increase in car sales was [45 - 35] thousands = 10,000
    In 2005, the increase in car sales was [35 - 25] thousands = 10,000
    In 2007, the increase in car sales was [65 - 45] thousands = 20,000
    Therefore, in year 2007, the increase in car sales was maximum as compared to its previous year.
    Hence, option (4) is correct.
  • Question 13
    1 / -0

    Directions For Questions

    Directions: Study the given graph carefully and answer the question that follows.

    ...view full instructions

    The ratio of car sales in 2007 to 2004 is
    Solution
    Car sales in 2007 = 65,000
    Car sales in 2004 = 25,000
    So, the ratio is 65000 : 25000 or 65 : 25 which is equal to 13 : 5.
    Hence, option (1) is correct.
  • Question 14
    1 / -0

    Directions For Questions

    Directions: Study the given graph carefully and answer the question that follows.

    ...view full instructions

    The increase in car sales in 2002 was what percent of the increase in car sales in 2007?
    Solution
    In 2002, the increase in car sales was [45 - 35] thousands = 10,000
    In 2007, the increase in car sales was [65 - 45] thousands = 20,000
    So, the percentage of increase = = 50%
    Hence, option (4) is correct.
  • Question 15
    1 / -0

    Directions For Questions

    Directions: Study the given graph carefully and answer the question that follows.

    ...view full instructions

    The car sales in 2007 are what percentage of the total car sales of all the years?
    Solution
    Total sales for given years (in thousands) = 25 + 35 + 45 + 45 + 25 + 35 + 45 + 65 = 320
    So, required percentage = = 20.3%
    Hence, option (2) is correct.
  • Question 16
    1 / -0
    There are 15 balls in a bag, out of which 9 are black and the rest are blue. Find the probability of drawing a blue ball.
    Solution
    Number of blue balls = 15 - 9 = 6
    Probability of drawing a blue ball == 0.4
    Hence, option (4) is correct.
  • Question 17
    1 / -0
    Find the probability of picking a king from a deck of 52 cards.
    Solution
    Total number of cards = 52
    Number of kings in a deck of 52 cards = 4

    Probability of picking a king ==
    Hence, option (1) is correct.
  • Question 18
    1 / -0
    A pie chart is drawn for 1,89,360 people living in an area. The central angle of the sector representing doctors among them is 50° on the pie chart. Find the number of doctors in that area.
    Solution
    Total population of the area = 1,89,360

    The central angle represents 50°.

    Number of doctors =
    =

    = 26,300
  • Question 19
    1 / -0
    Directions: Study the given information carefully and answer the question that follows.

    There are five different flavours of candies in a packet of candies. The flavours are tangy, orange, mango, lemon and strawberry and their quantities are 12, 13, 10, 9 and 8, respectively.

    What is the probability that the candy Rahim picked at random is orange flavoured?
    Solution
    Total number of candies = 12 + 13 + 10 + 9 + 8 = 52 candies

    Number of orange candies = 13
    So, probability of picking an orange flavoured candy = = = 0.25
    Hence, option (1) is correct.
  • Question 20
    1 / -0
    Directions: Study the given information carefully and answer the question that follows.

    There are 9 blue, 5 black, 5 yellow, 7 pink, 6 red and 3 green coloured marbles in a pouch. Ram picks out one marble from the pouch.

    What is the probability that the marble drawn is yellow coloured?
    Solution
    Total number of marbles = 9 + 5 + 5 + 7 + 6 + 3 = 35 marbles
    Number of yellow marbles = 5
    So, probability of drawing a yellow marble = or
    Hence, option (2) is correct.
  • Question 21
    1 / -0
    Directions: Study the graph and answer the question that follows.



    The given pie chart shows the number of seats available in various streams of Delhi University. If there are 15000 seats available in Delhi University, then what is the total number of seats for BCA and BBA?
    Solution
    Total seats available = 15000

    Seats for BCA = = 1200

    Seats for BBA = = 3300

    Total = 3300 + 1200 = 4500

    Hence, option (4) is correct.
  • Question 22
    1 / -0
    Directions: Study the graph and answer the question that follows.



    The given pie chart shows the number of seats available in various streams of Delhi University. What is the ratio of number of seats available for B.Com to number of seats available for B.Sc?
    Solution
    Percentage of seats available for B.Com = 39%
    Percentage of seats available for B.Sc = 13%

    The required ratio = = = 3 : 1

    Hence, option (2) is correct.
  • Question 23
    1 / -0
    Directions: The given bar graph shows the demand of phones (in thousands) in the market. Read the graph and answer the following question.



    (a) Find the total demand of phones in the market.
    (b) Find the ratio of the demand of I-Phone to that of Oppo in its simplest form.
    (c) Find the percentage of demand of Vivo over the demand of Pixel.
    Solution
    (a) Total demand = [40 + 38 + 22 + 20 + 20 + 12 + 9] (in 000's) = 161
    So, the demand is 161000.

    (b) Demand of I-Phone (in 000's) = 40
    Demand of Oppo (in 000's) = 12
    Required ratio == 10 : 3
    (c) Demand of Vivo = 9000
    Demand of Pixel = 38000

    Required percentage = = 23.6%

    Hence, option (2) is correct.
  • Question 24
    1 / -0
    Directions: Study the given information and answer the following question.

    Given set of data:

    55, 18, 23, 15, 8, 11, 25, 29, 13, 32, 5, 32, 44, 2, 54, 53, 44, 8, 52, 53, 35, 31, 41, 42

    Frequency distribution of the given data:

    Table I

    Group Tally marks Frequency
    0-10 llll 4
    10-20 llll 4
    20-30 lll 3
    30-40 llll 4
    40-50 llll 4
    50-60 5

    Table II

    Group Tally marks Frequency
    0-10 lll 3
    10-20 llll 4
    20-30 lll 3
    30-40 5
    40-50 llll 4
    50-60 llll 4

    Which of the above tables is/are the correct frequency table(s) for the given data?
    Solution
    Group the given data by placing it in the given specified range.

    Group Tally marks Frequency
    0-10 llll 4
    10-20 llll 4
    20-30 lll 3
    30-40 llll 4
    40-50 llll 4
    50-60 5

    Table I is the correct frequency table for the given data.

    Hence, option (3) is correct.
  • Question 25
    1 / -0
    Directions: The given pie chart shows the languages people speak in India. Study the pie chart and answer the question that follows.



    What is the ratio of the number of people who speak Hindi to that of number of people who speak English?
    Solution
    Fraction of Hindi =
    Fraction of English =
    Required ratio == = = 22 : 5

    Hence, option (2) is correct.
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