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Multiple Choice Question Based on Passage
Invariance
Newton' s laws of motion are applicable in all inertial reference frames. Some physical quantities, when measured by observers in different reference frames, have exactly the same value. Such physical quantities are called invariant. In Newtonian mechanics mass, time, and force are invariant quantities. On the other hand, some physical quantities, when measured by observers in different reference frames, do not have the same value. Such physical quantities are called not invariant. In Newtonian mechanics displacement, velocity and work (which is the dot product of force and displacement) are not invariant. Also kinetic energy

is not invariant.
Physicists believe that all laws of physics are invariant in all inertial reference frames. For example, the work energy principle states that the change in the kinetic energy of a particle is equal to the work done on it by the force. Although, work and kinetic energy are not invariant in all reference frames, the work-energy principle remains invariant. Thus even though different observers measuring the motion of the same particle find different values of work and change in kinetic energy, they all find the work-energy principle holds in their respective frames.
Choose the invariant quantities from the following

(a)	mass	(b)	time
(c)	velocity	(d)	displacement

Chemistry

Multiple-Choice Question
The following equilibrium is established when hydrogen chloride is dissolved in acetic acid
HCl + CH₃COOH

Cl^- + CH₃COOH₂⁺
The set that characteristics the conjugate acid-base pair is

(a)	(HCl, CH₃COOH) and (CH₃COOH₂⁺, Cl^-)	(b)	(HCl, CH₃COOH₂⁺) and (CH₃COOH, Cl^-)
(c)	(CH₃COOH₂⁺, HCl) and (Cl^-, CH₃COOH)	(d)	(HCl, Cl^-) and (CH₃COOH₂⁺, CH₃COOH)

Mathematics

Multiple Choice Question
Let A = {1, 2, 3 ... n}, B = {a, b, c}, then the number of functions from A to B that are on to is

(a)	3ⁿ - 3(2ⁿ - 1)	(b)	3ⁿ - 2ⁿ
(c)	3(2ⁿ - 1)	(d)	(n - 1)!

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