# National Standard Examination in Astronomy (NSEA) Solved Paper 2016 Part-18

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Q: 62. ∆ABC is equilateral with each side being of unit length and P is an interior point then the maximum product of the length AP .BP and CP is

(A)

(B)

(C)

(D)

Answer: (C)

Q: 63. The resultant of the forces P and Q is R if Q is doubled then R gets doubled. If Q is reversed even then R gets doubled. Then

(A)

(B)

(C)

(D)

Answer: (A)

Q: 64. The unit digit of is

(A) 1

(B) 3

(C) 7

(D) 9

Answer: (A)

Q: 65. Linked question (65-69)

A star can be considered as a spherical ball of hot gas of radius R. Inside the star, the density of the gas is at a radius r and mass of the gas within this region is The correct differential equation for variation of mass with respect to radius is (refer to the adjacent figure)

(A)

(B)

(C)

(D)

Answer: (B)

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