# National Standard Examination in Astronomy (NSEA) Solved Paper 2016 Part-11

Q: 34. The number

(A) A perfect square and a perfect cube

(B) Neither a perfect square nor a perfect cube

(C) A perfect cube but not a perfect square

(D) A perfect square but not a perfect cube

Q: 35. A football (assumed to be a hollow sphere) of mass 200 g and radius 16 cm, is given horizontal kick 4 cm above its centre. This imparts a speed of 8 cm/s to the football. Angular speed acquired by the football in radian/s is

(A) 9/16

(B) 15/16

(C) ¾

(D) 16/15

Q: 36. For sets A, B we have ( denote complement of set X)

(A)

(B)

(C)

(D)

Q: 37. A small marble (assumed to be a uniform solid sphere) is released on one end of a parabolic mirror from a vertical height of 70 cm. First half part of this mirror is rough, on which the marble is released. Other half of the mirror is smooth. Throughout its motion the marble never slips. To what vertical height will it rise on the smooth surface?

(A)

(B)

(C)

(D)