CTET Solved Paper - UTET September 2013 Paper2

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76. In a farm, there are some hens and goats. The sum of their heads are 77 and sum of their legs are 248. The number of hens in the farm are

  • Option : B
  • Explanation : Let the number of hens and goats be x and y, respectively.
    x + y = 77 .......(i)
    and 2x + 4y = 248 ........(ii)
    Solving the above two equations, we get
    y = 47
    and x = 30
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77. A semi-circular shaped window has diameter 49 cm. Its perimeter will be (π = 22/7 )

  • Option : B
  • Explanation : (B) Diameter of semi-circle = 49cm

    Perimeter = πr+d
    = 22/7 × 49/2 + 49
    = 77 + 49 = 126 cm
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78. In given figure, the value of x0+ y0 will be

  • Option : A
  • Explanation : (A) Here, ∠ACD = 400 + x0
    [exterior angle theorem]
    and y0 + ∠ACD + 400 = 1800
    ⇒ y0 + 400 + x0 + 400 = 1800
    ⇒ x0 + y0 = 1800 - 800 = 1000
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79. The value of 1.3 is equal to

  • Option : A
  • Explanation : (A) The value of 1.3 is
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80. Which of the following is not an Indian Mathematician?

  • Option : A
  • Explanation : Sharangdev is not an Indian mathematician
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