CTET Solved Paper - UTET September 2013 Paper2

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86. In 30 L mixture of milk and water the ratio of milk and water is 7 : 3. How much more water is added in mixture, so that the ratio become 3 : 7?

  • Option : D
  • Explanation : (D) In 30 L of mixture, milk is 21 L and water is 9 L. Let x L of water needs to be added.

    ⇒ 147 = 27 + 3x
    ⇒ 120= 3x
    ⇒ x = 40L
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87. If the difference of the squares of two consecutive even numbers is 84, then the sum of those numbers will be

  • Option : C
  • Explanation : (C) Let the two consecutive even number be x and (x + 2).
    According to the question.
    (x + 2)2- x2 = 84
    x2 + 4 + 4x - x2 = 84
    4x = 80 => x = 20
    So, the sum is 20 + 22 = 42
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88. The sum of first 35 odd natural numbers is

  • Option : A
  • Explanation : (A) The sum of first 35 odd natural numbers
    [sum of first natural numbers = n2]
    = (35)2 = 1225

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89. One-third of 603 is what percent of 67?

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90. Chemical formula of Plaster of Paris is

  • Option : B
  • Explanation : (B) Plaster of Paris is made from gypsum which is a crystalline mineral of hydrated calcium sulphate. The chemical formula of plaster of Paris is
    CaSO4. 1/2H2O
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