GENERAL ENGINEERING, ETHICS AND CONTRACTS

1 1 1
1. Find the sum, 1 + + + +
3 9 81
a) 3/2 c) 7/2
b) 5/2 d) 9/2
2. The maximum stress to which a material may be subjected without the occurrence of
permanent strain remaining upon the complete release to stress
a) Ultimate strength c) Resilience point
b) Rupture point d) Elastic limit
3. A stone is thrown upward at an angle of 30 with the horizontal. It lands 60 m horizontally and
2 m below measured vertically from its point of release. Determine the initial velocity of the
stone in m/s.
a) 22.35 m/s c) 25.35 m/s
b) 24.35 m/s d) 21.35 m/s
4. A flywheel is 15 cm in diameter accelerates uniformly from rest to 500 rpm in 20 seconds. What
is its angular acceleration?
a) 2.62 rad/s2 c) 3.95 rad/s2
2
b) 3.45 rad/s d) 4.25 rad/s2
5. It is an annuity where the payments are made at the beginning of each period
a) Ordinary annuity c) Annuity due
b) Deferred annuity d) Perpetuity
6. The periodic oscillation either up or down or back and forth in a straight line is known as
a) Transverse harmonic motion c) Rotational harmonic motion
b) Resonance d) Translational harmonic motion
7. A car starting from rest, accelerates increasing from zero to 12 m/s2 in 8 seconds. During the
next 4 seconds, the car decelerate uniformly at a constant rate of 11 m/s2. What is the total
distance travelled after 12 seconds?
a) 232 m c) 272 m
b) 252 m d) 292

8. Two pipes are used to fill up a pool with water. One pipe alone can fill the whole tank in 8 hours
while the other pipe alone can fill the tank in 6 hours. A drain in the bottom of the pool can
empty the pool when full in half a day. At one instance, the two pipes were opened to fill up the
pool when it was empty. It was when the pool was completely filled that they found out that the
drain was also open. How long did it take to fill up the pool?
a) 3.8 hours c) 5.8 hours
b) 4.8 hours d) 6.8 hours
9. Allison can accomplish a certain clerical work in two hours and 15 minutes. At one instance, she
had worked on it for an hour and a half when suddenly she felt nauseous and stopped working.
She then asked the help of her officemate James to finish the work for her while she rest in the
infirmary. James was more than willing and finished the work in five-eighths of an hour. How
long would it take James to finish it if he would work on it alone?
a) 1.875 hours c) 1.575 hours
b) 2.525 hours d) 2.125 hours
10. Determine the maximum shearing stress in a helical steel spring composed of 20 turns of 20 mm
diameter wire on a mean radius of 80 mm when the spring is supporting a load of 2 kN.
a) 100.6 MPa c) 120.6 MPa
b) 110.6 MPa d) 130.6 MPa
11. Determine the elongation in a helical spring composed of 20 turns of 20 mm diameter wire on a
mean radius of 80 mm when the spring is supporting a load of 2 kN. Use G=83 GPa
a) 98.7 mm c) 118.7 mm
b) 108.7 mm d) 128.7 mm
12. X, Y, and Z can do their job in 15 days. X and Y can do it in 20 days, Y and Z in 30. How many days
would it take each to do the work alone?
a) X=60 days, Y=30 days, Z=60 days c) X=80 days, Y=20 days, Z=50 days
b) X=50 days, Y=40 days, Z=40 days d) X=50 days, Y=50 days, Z=50 days
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13. Find the 7th term of the expansion of ( + 3)
a) 30618 3 6 c) 61236 3 6
b) 8432 3 6 d) 78732 3 6
14. Which of the following is a function?
a) 2 2 = 4 c) 2 + 2 = 1
2
b) = 4 + 4 d) = 2 + 4 + 4
15. Find the distance between two parallel lines + 4 6 = 0 and 3 + 12 10 = 0?
a) 217 817
c)
51
b) 172 178
d)
51
th 1
16. Find the 4 term in the progression , 0.2, 0.125, ?
2
1 1
a) 11
c)
5
2 d) 0.025
b) 3
17. A cylindrical water tank is 8 m in diameter and 12 m high. If the tank is to be completely filled ,
determine the minimum thickness of the tank plating if the stress is limited to 40 MPa.
a) 10.25 mm c) 12.6 mm
b) 11.77 mm d) 13.18 mm
18. It is the magnitude of the maximum displacement from the equilibrium of the vibrating object
a) Period c) Amplitude
b) Frequency d) Wavelength
19. This was the previous chemical engineering law repealed by the new 2004 version
a) RA 138 c) RA 831
b) RA 318 d) RA 381
20. An act to provide for the registration and protection of trademarks, tradenames and service
marks, defining unfair competition and false marking and providing remedies against the same.
a) RA 5455 c) RA 9297
b) RA 166 d) RA 916
21. A falling object has a mass of 2 g and the upward air resistance of 10 N. Calculate the
acceleration
a) 19.6 m/s2 c) 4.8 m/s2
b) 9.8 m/s2 d) 2.4 m/s2
22. The stress in a 90 cm diameter pipe having a wall thickness of 9.5 cm and under a static head of
70 cm of water is
a) 325 kPa c) 32.5 MPa
b) 32.5 kPa d) 3.25 Mpa
23. Find the 2017th digit in the decimal expansion of 9134/9999
a) 9 c) 3
b) 1 d) 4
24. The 50th percentile is more commonly called ______
a) Mode c) Mean
b) Median d) 1st quartile
25. Find the polar moment of inertia of a rectangle with base of 4 cm and altitude of 3 cm with
respect to its centroid.
a) 25 4 c) 16 4
4
b) 9 d) 36 4
26. A 60 ton rail car moving at 1 mile/hr is coupled to a stationary rail car. If the velocity of the two
cars after coupling is 1 ft/s (in the original direction of motion and the coupling is completed in
0.5 second, what is the average impulsive force on the 60 ton rail car?
a) 50 lbf c) 1200 lbf
b) 3500 lbf d) 60 lbf
27. A newly installed piece of equipment has a value of P 50,000. Its useful life is estimated to be 10
yrs and its salvage value is P 8,000. Depreciation will be charged as a cost by making equal yearly
payment, first payment being made at the end of the first year. The depreciation fund will be
accumulated at an annual interest of 8.25%. The yearly depreciation cost under these conditions
is close to
a) P 2,865 c) P 3,400
b) P 2,700 d) P 4,500
28. In how many minutes after 2 oclock will the hands of the clock extend in opposite directions for
the first time?
a) 42.4 minutes c) 43.2 minutes
b) 42.8 minutes d) 43.6 minutes
29. In how many different ways can 7 persons be seated in a row of 10 seats?
a) 604,800 c) 3,628,800
b) 120,960 d) 40,320
30. A pick-up truck is travelling forward at 25 m/s. The bed is loaded with boxes whose coefficient of
friction with the bed is 0.4. What is the shortest time that the truck can be brought to a stop
such that the boxes do not shift?
a) 5.25 s c) 7.45 s
b) 6.37 s d) 4.17 s

31. A circle with a radius of 6 cm has half of its area removed by cutting a border of uniform width.
Find the width of the border.
a) 2.20 cm c) 1.76 cm
b) 1.35 cm d) 3.75 cm
32. Find the positive value of x so that x, x2-5, 2x will be in harmonic progression
a) 3 b) 4
 c) 5 d) 6
33. An elevator on an office building starting from rest at the first floor, is accelerated 0.75 m/sec2
for 5 seconds. It continues at constant speed for 12 seconds more and is then stopped in 3
seconds with constant deceleration. If the floors are 3 m apart, at what floor did the elevator
stop?
a) 19 c) 21
b) 20 d) 22
34. A bell (f=500 Hz) is being moved from an observer at a rate of 3 m/s, if the sound travels at 343
m/s in air, what is the apparent frequency of the sound?
a) 447.7 Hz c) 417.7 Hz
b) 495.7 Hz d) 477.7 Hz
2
35. What is the area bounded by the curve x =-9y and the line y+1=0
a) 3 sq. units c) 5 sq. units
b) 4 sq. units d) 6 sq. units
36. Integrate the square root of (1-cosx) dx

a) -22 c) 2 2
2

b) 22 d) 2 2
2
37. Find the area bounded by the curve y=x2+2, and the lines x=0, y=0 and x=4
a) 65/3 c) 88/3
b) 76/3 d) 96/3
3
38. What is the area bounded by the curve y=x , the x-axis, x=-2 and x=1?
a) 4.25 c) 5.24
b) 2.45 d) 5.42
39. Locate the centroid of the plane area bounded by y=x2 and y=x.
a) 0.4 from the x-axis and 0.5 from the y-axis
b) 0.5 from the x-axis and 0.4 from the y-axis
c) 0.5 from the x-axis and 0.5 from the y-axis
d) 0.4 from the x-axis and 0.4 from the y-axis
2 2
40. The area enclosed by the ellipse 9
+ 4
= 1 is revolved about the line x=3. What is the volume
generated?
a) 355.3 c) 370.3
b) 360.1 d) 365.1
41. Find the volume (in cubic units) generated by rotating a circle 2 + 2 + 6 + 4 + 12 = 0
about the y-axis
a) 39.48 c) 59.22
b) 47.23 d) 62.11

42. Determine the index of refraction of a medium that reduces the speed of light by 10% as
compared to its speed in vacuum
a) 0.9 c) 1.1
b) 0.1 d) 1.9
43. Find the equation of the family of orthogonal trajectories of the system of parabolas 2 = 2 +

a) = c) =
b) = 2 d) = 2
44. According to newtons law of cooling, the rate at which a substance cools in air is directly
proportional to the difference between the temperature of the substance and that of air. If the
temperature of the air is 30 and the substance cools from 100 to 70 in 15 minutes, how long
will it take to cool 100 to 50?
a) 33.60 min c) 35.40 min
b) 43.50 min d) 40.50 min
45. 100 liters of brine containing 50 kg total of dissolved salt are in a tank. Pure water is allowed to
run into the tank at the rate of 3 liters per minute. Brine runs out of the tank at the rate of 2
liters per minute. The instantaneous concentration in the tank is kept uniform by stirring. What
is the concentration of the salt in the tank at the end of one hour?
a) 0.102 kg/L c) 0.143 kg/L
b) 0.122 kg/L d) 0.169 kg/L
46. Find the 10 term of an arithmetic progression when the first term is 3 and whose 1st, 4th and
th

13th terms form a geometric progression

a) 20 c) 22
b) 21 d) 23
47. A father says to his son, "I am three times as old as you were, when I was as old as you are". If
the sum of their present ages is 80, find the age of the son?
a) 20 c) 32
b) 22 d) 48
48. Find the equation of the conic with eccentricity 2 and foci at (6,0) and (-6,0)
a) 9 2 27 2 = 243 c) 8 2 25 2 = 200
b) 27 2 9 2 = 243 d) 25 2 8 2 = 200
49. The probability of having a girl is identical to the probability of having a boy. In a family with
three children, what is the probability that all the children are of the same gender?
a) 1/2 c) 1/8
b) 1/4 d) 1/16
50. Find the distance between two parallel line 3 + 2 = 0 and 2 6 3 = 0
a) 1.1 c) 3.3
b) 2.2 d) 4.4