1.  Regrouping of members of a set under a binary operation is the property of
A. commutativity
B. distributivity
C. associativity
D. uniqueness
2. The trace of an n-square matrix is
A. 1
B. 2
C. 3
D. n
3. For what values of a does the quadratic equation (3a+1)x² + (a+2)x +1 = 0 has equal roots?    
A. (-8,0)
B. (0, 8)
C. (4,8)
D. (1,8)

4. For what values of x is |x+3| = 2 satisfied?
A. -1 and -5
B. -1 and 5
C. 1 and 5
D. 3 and 2
5. 14. Insert three arithmetic means between 18 and – 10
A. (9,10,4)
B. (4,11,18)
C. (17,11,14)
D. (11,4,-3)
6. The first law of thermodynamics is based on which of the following principles?
A. conservation of mass
B. the enthalpy-entropy relationship
C. action-reaction
D. conservation of energy

7. What is the value of the workdone for a closed, reversible, isometric system?
A. zero
B. positive
C. negative
D. positive or negative
8. In which one of the following locations will atmospheric pressure be least?
A. At sea level
B. On Mount Everest
C. About 100 metres under the sea
D. On the moon
9. The property by virtue of which a liquid opposes relative motion between its different layers is called
(A) Surface tension
(B) Coefficient of viscosity
(C) Viscosity
(D) Osmosis

10. In an immersed body, centre of pressure is
(A) At the centre of gravity
(B) Above the centre of gravity
(C) Below be centre of gravity
(D) Could be above or below e.g. depending on density of body and liquid
11. The state of a substance whose evaporation from its liquid state is complete, is known as
(A) Perfect gas
(B) Vapour
(C) Steam
(D) Air
12. The same volume of all gases would represent their
(A) Densities
(B) Specific weights
(C) Molecular weights
(D) Gas characteristic constants