UGC NET Paper1 Previous Year Solved Papers - 5th December 2019 Morning Shift

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36. A solid is in the form of a cylinder with hemispherical ends. The diameter of the cylinder is 1/3 of its height (excluding the hemispherical ends). The total length of the solid including the hemispherical ends is 56 cm. What is the surface area of the solid?

  • Option : B
  • Explanation :
    Let ADCDEF is a cylinder with hemispherical ends.
    5Dec19 FS
    Diameter of the cylinder BD = 2d
    height of the cylinder AD = 6d
    total length = 6d + d + d = 56
    8d=56
    d=7cm.
    Surface area of the solid
    = Surface area of cylindrical parts + 2 x surface area of hemisphere
    = 2π x d x 6d + 2 x 2π (d)2
    = 12πd2 + 4πd2 = 16πd2
    = 16 x (22/7) x 72 = 2464 cm2
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37. Academic performance of students is determined by
(A) Intelligence
(B) Motivation
(C) Physique
(D) Gender

  • Option : A
  • Explanation :
    Intellig~nce and motivation determine academic performance of students. Gender or physique does not affect it.
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38. The compound interest on a certain sum of money for 3 years at the rate of 10% per annum is ₹ 993.00. The simple interest on the same sum at the rate of 8% per annum for 4 years would he equal to which of the following?

  • Option : C
  • Explanation :
    5Dec19 FS
    993 = P [1.331-1]
    ⇒ 993 = (0.331)P
    P = 993/0.331 = 3000
    Now, simple interest (S.I.) = Prt/100
    = (3000 x 8 x 4)/100 = 960
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39. Which of the following numbers would occur next in the series 2, 6, 30, 60, 130, 210 ______ ?

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40. Given below are two statements, one is labeled as Assertion (A) and the other labeled as Reason (R)
Assertion (A): The Governor has the power to ask for any information from the Chief Minister regarding the administration of the State.
Reason (R): The Governor is the real Head of the state administration.
In the context of the above two statements, choose the correct option:

  • Option : C
  • Explanation :
    As per the provision of Article 153, there shall be a Governor for each State. Like the President at the Centre, Governor in the state is only a constitutional ruler. He has the right to seek information from Chief Minister and it is the duty of the chief minister of the State to inform him of all decisions of his ministry.
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