CTET Solved Paper - UTET September 2013 Paper2

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66. Which type of triangle will obtained from sides 2 cm, 3 cm and 6 cm?

  • Option : C
  • Explanation : (C) Sides given 2 em, 3 cm, 6 cm. We can obtain acute angle triangle and scalene triangle.
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67. In Roman system, 98 is written as

  • Option : C
  • Explanation : (C) In Roman system, 98 will be written as XCVIII
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68. A shopkeeper uses a weight of 800 g for 1 kg and professes to sell his goods at cost price. His profit is

  • Option : C
  • Explanation : (C) Shopkeeper uses a weight of 800 g instead 1 kg, so that gain
    = 1000 - 800 x100
                800
    = 200 /800 xl00 = 25%
    His profit will be 25%.
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69. Which of the following is Hardy Ramanujan number?

  • Option : C
  • Explanation : (C) 1729 is "Hardy" Ramanujan number, because it is the smallest number expressible as the sum of two cubes in two different ways, i.e. 1729 =13 +  123 = 93 + 103 
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70. Throwing two dice at the same time, the probability of getting larger number at one dice than another will be

  • Option : B
  • Explanation : (B) Total number of outcomes = 36
    Favourable outcomes = 30
    [excluding equal numbers on dice]
    [(1,1), (2, 2 ), (3,1), (4, 4), (5, 5), (6, 6) ]
    Required probability = 30/36 = 5/6
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