1. The given Pie-chart shows the marks scored by a student in different subjects in an examination. If the total marks obtained by the student be 648, then marks scored in English, Science and Social Science exceed the marks scored in Hindi and Mathematics by

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2. The mean of n observations is m. If m2 - m + 1 is added to each observation, what will be the value of new mean?

  • Option : D
  • Explanation : (D) The mean of n observation is m.
    if m2 - m + 1 is added to cach observation, then the mean will increase by m2 - m + 1,
    Then new mean = m + m2 - m + 1
    = (1 + m2)

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3. The mean of the median and mode of the observations 6, 6, 9, 14, 8, 9, 9, 8 is

  • Option : C
  • Explanation : (C) Arranging the numbers in ascending order, we get 6, 6, 8, 8, 9, 9, 9, 14
    As, median is middle number and here 8 and 9 are middle numbers. So median = (8 + 9)/2 = 8.5
    Mode is the number that appears the most, which is 9.
    So, Mean of median and mode = (8.5 + 9)/2 = 17.5/2 = 8.75

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4. In the given bar diagram, the wheat production of a farm (in tonne) from year 2009 to 2014 is shown. Sum of production during 'odd' years is how many times that of the 'even' years?

  • Option : B
  • Explanation : Sum of production during
    odd years (2009, 2011, 2013)
    = 90 + 105 + 75 = 270 tonne.
    Sum of production during even years
    (2010,2012,2014)
    =110 + 130 + 120 = 360 tonne.
    Let the sum of production during odd
    years is x times that of the even years.
    270 = x × 360 => x = 270/360.
    x =0.75

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