CTET Solved Paper - CTET September 2015

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91. The internal base of a rectangular box is 15 cm long and cm wide and its height is . The box is filled with cubes each of side cm. The number of cubes will be

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92. The perimeter of a trapezium is 58 cm and sum of its non-parallel sides is 20 cm. If its area is 152 cm2, then the distance between the parallel sides (in cm) is

  • Option : D
  • Explanation : (D) Perimeter of trapezium = 58 cm
    Sum of its non-parallel sides = 20 cm
    Sum of parallel sides = (58 - 20) = 38 cm
    Let 'd' be the distance between parallel sides.

    ∴ d = 8 cm
    ∴ Distance between the parallel sides = 38 cm
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93. The measure of each interior angle of a regular convex polygon is 1560. The number of sides of polygon is

  • Option : C
  • Explanation : (C) Let the number of sides of the polygon be n.

    ⇒ 156n = 180n - 360
    ⇒ 180n - 156n = 360
    ⇒ 24n = 360
    ⇒ n = 360/24
    ∴ n = 15
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94. If the number of sides of regular polygon is n, then the number of lines of symmetry is equal to

  • Option : B
  • Explanation : (B) For the n number of sides of a regular polygon, there are n number of lines symmetry.
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95. The sides of a triangle are 6.5 cm, 10 cm and x cm, where x is a positive number. What is the smallest possible value of x among the following?

  • Option : B
  • Explanation : (B) A triangle can be formed only when sum of two sides of triangle is greater than the third side. Hence, the smallest possible value of x will be 4.
    i.e. 6.5 + 10 > 4
    6.5 + 4 > 10
    4 + 10 > 6.5
    ∴ Option (2) is correct.
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