CTET Solved Paper - UTET April 2015

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121. The value of (0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02) / (0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04) is

  • Option : D
  • Explanation : (0.1 x 0.1 x O.l + 0.02 x O.02 x O.02)/(0.2 x 0.2 x 0.2 + 0.04 x O.04 x O.04) =(0.001 + 0.000008)/(0.008 + 0.000064) = 0.001008 / 0.008064 = 1/8 = 0.125
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122. The area of three adjacent faces of a cuboid are x, y and z, respectively. The volume of cuboid will be

  • Option : C
  • Explanation : Given, lb = x.
    bh=y,lb=z.
    lb x bh x lh = xyz.
    l2 b2 b2 =xyz
    Volume = lbh = √xyz
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123. How many numbers between 100 and 300 are divisible by 7?

  • Option : B
  • Explanation : Number of numbers divisible by 7 between 100 and 300 = 300/7 - 100/7 = 42 - 14 = 28
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124. The statement obtained by interchanging the 'premise' and 'conclusion' of a theorem is called

  • Option : A
  • Explanation : A converse of a theorem is a statement formed by interchanging what is given in a theorem and what is to be proved.
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125. Of the 1000 inhabitants of a town, 60% are males of whom 20% are literate. If in all the inhabitants, 25% are literate, then what per cent of females of the town are literate?

  • Option : D
  • Explanation : Total literate = 25% of 1000 =250. Male = 60% of 1000 = 600. Female = 40% of 1000 = 400. Male literate = 20% of 600 = 120. ∴ Female literate = 250 - 120 = 130. ∴ Required percentage = 130/400 xl00 % = 32.5%
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