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Data Handling Test - 39

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Data Handling Test - 39
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  • Question 1
    1 / -0

    Directions For Questions

    Adjoining pie chart gives the expenditure (in percentage) on various items and savings of a family during a month.

    ...view full instructions

    The item on which expenditure is equal to the total savings of the family , is ____ .

    Solution
    Clearly as seen in the Pie Chart,

    Savings $$= 15\%$$ 
    House Rent $$= 10\%$$
    Transport $$= 5\%$$
    Education for Children $$= 15\%$$
    Food $$= 25\%$$
    Clothes $$= 10\%$$
    Other $$= 20\%$$

    Expenditure on Education for Children $$=$$ Total Savings of the Family $$= 15\%$$
  • Question 2
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    Direction (16-17) : The pictograph shows different subject books which are kept in a library. Observe the graph and answer the following questions.
    How many English books are there in the library?

  • Question 3
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    Direction (7-8) : Read the following bar graph and answer the questions given below.
    Which state has the maximum total production of rice and wheat?

    Solution
    Total production of rice and wheat in U.P. = 8 + 15 = 23 tonnes
    Total production of rice and wheat in W.B. = 10 + 2 = 12 tonnes
    Total production of rice and wheat in M.P. = 4 + 4 = 8 tonnes
    Total production of rice and wheat in Maharashtra = 3 + 2 = 5 tonnes
    Total production of rice and wheat in Haryana = 3 + 5 = 8 tonnes
    So, total production of rice and wheat is maximum in U.P.
  • Question 4
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    The sale of electric fans on different days of the week is shown above. Observe the pictograph and answer the following questions.
    If one fan was sold of $$900.$$ What were the total earnings on Friday?

    Solution
    There are $$7$$ images of fan in the row of Friday and $$1$$ fan corresponds to $$3$$ units so,
    Number of fans sold $$=$$ $$3\times 7$$
                                       $$=21$$

    Cost of $$1$$ fan $$=  900$$
    $$\therefore$$  Cost of $$21$$ fans $$=  21\times 900$$
                                    $$ =  18900$$
  • Question 5
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    Direction (9-10) : Following pictograph shows the number of tractors in five villages. Observer the pictograph and answer the following questions.
    Total number of tractors in all the five villages is _____.

    Solution
    $$\Rightarrow$$  From pictograph we have made following frequency distribution table :

     $$Villages$$$$No.\,of\,Tractors$$
     $$A$$$$6$$ 
     $$B$$$$5$$ 
     $$C$$$$8$$ 
     $$D$$$$3$$ 
     $$E$$$$6$$ 
     $$Total$$$$28$$ 
    $$\Rightarrow$$  Total number of tractors in all five villages is $$28$$
  • Question 6
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    The following pie chart shows the result of a survey among $$100$$ students regarding their subject preference.
    The preference of students preferring Botany is less than that of Social Science by

    Solution
    Required percentage = $$\cfrac{72-54}{72} \times 100 = \cfrac{18}{72} \times 100 = 25\%$$
  • Question 7
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    The following pie chart shows the result of a survey among $$100$$ students regarding their subject preference.
    The number of students who prefer Psychology exceeds that of the students who prefer Social Science by

    Solution
    The number of students preferring Psychology $$=\dfrac{216}{360}\times 100 = 60$$

    The number of students who prefer Social Science $$=\dfrac{72}{360}\times 100 = 20$$

    The number of students who prefer Psychology is more than the students who prefer Social Science $$=60 - 20 = 40$$
  • Question 8
    1 / -0
    The pictograph shows different subject books which are kept in a library. Observe the graph and answer the following question:
    How many more Science books than the History books are there in the library?

    Solution
    $$\Rightarrow$$  In pictograph, one book symbol equal to $$100$$ books.
    $$\therefore$$  From given pictograph, we have made following frequency distribution table :
     $$Subject$$$$No.of\,books$$ 
     $$Hindi$$$$6\times 100=600$$ 
     $$English$$$$8\times 100=800$$ 
     $$History$$$$2\times 100=200$$ 
     $$Science$$$$4\times 100=400$$ 
     $$Maths$$$$3\times 100=300$$ 
     $$Total$$$$2300$$ 
    $$\Rightarrow$$  Number of science books in library $$=400$$
    $$\Rightarrow$$  Number of History books in library $$=200$$
    $$\Rightarrow$$  Difference between science and history books $$=400-200=200$$
    $$\therefore$$  In library, there are $$200$$ science books more than history books.
  • Question 9
    1 / -0
    Choose the correct answer from the alternatives given.
     Study the following pie chart carefully to answer the questions that follow.
    The sectorial angle made by the expenses of the family on education.

    Solution
    % Expenses on Education = 25% Sectorial angle made by the expenses of family on Education
    $$= \, \dfrac{25}{100} \, \times \, 360^{\circ} \, = \, 90^{\circ}$$
  • Question 10
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    What is the sectorial angle corresponding to the money spent by the family in savings, clothing and others together? 

    Solution
    $$\Rightarrow$$  Percentage of money spend in saving $$=15\%$$
    $$\Rightarrow$$  Percentage of money spend in clothing $$=10\%$$
    $$\Rightarrow$$  Percentage of money spend in other things $$=20\%$$
    $$\Rightarrow$$  Total percentage of money spend in saving, clothing and other things $$=15\%+10\%+20\%=45\%$$
    $$\Rightarrow$$  The sectorial angle corresponding to money spend in savings, clothing and other together $$=45\% \,of\,360^o$$
                                                                                                                                                                   $$=\dfrac{45}{100}\times 360^o$$
                                                                                                                                                                   $$=162^o$$
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