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Question

In the graph below, the concentration of a particular pollutant in a lake is plotted over (alternate) days of a month in winter (average temperature 10 °C) and a month in summer (average temperature 30 °C).


Consider the following statements based on the data shown above: 
i. Over the given months, the difference between the maximum and the minimum pollutant concentrations is the same in both winter and summer. 
ii. There are at least four days in the summer month such that the pollutant concentrations on those days are within 1 ppm of the pollutant concentrations on the corresponding days in the winter month. 
Which one of the following options is correct?

The correct answer is
Only ii

Let's analyze the graph and statements to determine the correct option.

Statement i: "Over the given months, the difference between the maximum and the minimum pollutant concentrations is the same in both winter and summer."

  • From the graph, in the winter month, the pollutant concentration ranges approximately from 1 ppm to 6 ppm. The difference is \(6 - 1 = 5\) ppm.
  • In the summer month, the concentration ranges from about 1 ppm to 11 ppm. The difference is \(11 - 1 = 10\) ppm.
  • The differences are not the same. Thus, statement i is incorrect.

Statement ii: "There are at least four days in the summer month such that the pollutant concentrations on those days are within 1 ppm of the pollutant concentrations on the corresponding days in the winter month."

  • Examining the graph closely, for several days toward the beginning of the month, the concentration difference between summer and winter is small.
  • Specifically, around days 2, 4, 6, and 8, the concentrations in both months are close, with differences within 1 ppm.
  • Thus, statement ii is correct.

Based on the analysis:

  • Correct Option: Only ii
  • Statement i is incorrect because the differences in maximum and minimum concentrations between the two months are not equal.
  • Statement ii is correct as verified by the graph.
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Important Questions from Data Interpretation

  1. The table given below shows the earnings of two persons on five different days.

    Earnings
    Days PQ
    Monday105150
    Tuesday96110
    Wednesday65122
    Thursday115106
    Friday13068
    What is the ratio of total earnings of P to the total earnings of Q? 
  2. The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars.

    ColourTotal toysPercentage of cars
    C150012
    C260015
    C340012.5
    C455010
    C565020
    C645010

    What is the total number of car toys of C2 and C3 taken together?

  3. Study the given graph carefully and answer the question that follows. The graph shows the demand and production of different companies.

    The ratio between the companies having more production than demand and more demand than production is:

  4. Study the given table and answer the question that follows. The given table shows the number of new employees added to different categories of employees in a company for four years and the number of employees from these categories who left the company every year.

     

    During the period between 2001 and 2004, the total number of Technicians who left the Company is what percentage (rounded off to the nearest integer) of the total number of Technicians who joined the Company?

  5. The given pie-chart shows the percentage distribution of 20,000 employees in a company. Study the given chart and answer the question that follows. If 30% of the employees in department D are females, then how many male employees are there in that department?

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