CTET Solved Paper - UTET April 2015 Paper2

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111. "The sum of two whole numbers is also a whole number." This property of whole numbers is known as

  • Option : C
  • Explanation : Option (C) is correct i.e. Given property of whole numbers is known as closure property of addition.
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112. If(3a + 5b) : (3a - 5b) = 5 : 1, then the value of a : b will be

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113. The production of company X is 120% of the production of company Y and 80% of the production of company Z. The respective ratio between the production of companies X, Y and Z is

  • Option : D
  • Explanation : (D) Let the production of Y =100
    Then, production of X =120
    Production of Z =150
    Required ratio of X, Y and X
    =X : Y : Z
    =120 : 100 : 150
    =12 : 10 : 15
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114. 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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115. "In a triangle, if two sides are equal, then the angles opposite to equal sides have equal measures." The inverse of this theorem will be

  • Option : A
  • Explanation : (A) Inverse of the given theorem is option (A).
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