CIE

Question 1

In what quadrants do the secant and cosecant of an angle have the same algebraic sign?
a. I and II b. I and III c. II and III d. II and IV

Answer 1

Answer: b. I and III

Question 2

The lengths of side AB and side BC of a scalene triangle ABC are 12 cm and 8 cm respectively. The size of angle C is 59o. Find the length of side AC.
a. 12 b. 14 c. 16 d. 18

Answer 2

Answer: b. 14

Let x be the length of side AC. Use the cosine law 122 = 82 + x2 - 28x*cos(59o) Solve the quadratic equation for x: x = 14.0 and x = -5.7

Question 3

Find the equivalent resistance for the circuit shown below
a. 13.9 ohms b. 12.6 ohms c. 11.1 ohms d. 10.7 ohms

Answer 3

Answer: c. 11.1 ohms

Question 4

Find the current through the 5 volt source by simplifying the resistors to a single equivalent resistance
a. 220 mA b. 210 mA c. 200 mA d. 190 mA

Answer 4

Answer: b. 210 mA

Question 5

On the highway at speed 55 mi/h (88.5 km/h), you close your eyes for half a second during a sneeze. How far do you travel while your eyes are closed in meters?
a. 10.7m b. 11.5m c. 12.3m d. 13.1m

Answer 5

Answer: c. 12.3 m

Question 6

A projectile is launched upward from level ground at an angle of 60o with the horizontal. It has an initial velocity of 45m/s. How long will it take before the projectile hits the ground?
a. 4.1s b. 7.95s c. 5.8s d. 9.53s

Answer 6

Answer: b. 7.95s

Question 7

Environmental Engineering: The disease caused by severe mercury poisoning characterized by ataxia, numbness of the hands & feet, and weak muscles.
a. Itai-Itai Disease b. Chagas Disease c. Minamata Disease d. Parkinson’s Disease

Answer 7

Answer: c. Minamata Disease

Question 8

An electrochemical process used in the removal of colloidal matter in wastewater through the addition of an agent that will reduce the electrostatic charges surrounding the colloidal matter.
a. Disinfection b. Chemical Flocculation c. Ozonization d. Coagulation

Answer 8

Answer: d. Coagulation

Question 9

.chemistry: A 600 mL sample of nitrogen is heated from 27 °C to 77 °C at constant pressure. What is the final volume?
a. 650 mL b. 700 mL c. 750 mL d. 800 mL

Answer 9

Answer: b. 700 mL

Question 10

A sample of helium gas at 25°C is compressed from 200 cm3 to 0.240 cm3. Its pressure is now 3.00 cm Hg. What was the original pressure of the helium?
a. 1.4 x 10-3 cm Hg b. 2.5 x 10-3 cm Hg c. 3.6 x 10-3 cm Hg d. 4.7 x 10-3 cm Hg

Answer 10

Answer: c. 3.6 x 10-3 cm Hg

Question 11

Thermodynamics: 11. A balloon filled with gas expands its volume by 2.0 L. If the pressure outside the balloon is 0.93 bar and the energy change of the gas is 450J, how much heat did the surroundings give the balloon?
a. 636 J b. 734 J c. 832 J d. 930 J

Answer 11

Answer: a. 636 J

Question 12

12. There is a house hold heater that operates at 4 V and at 35 Ω and is used to heat up 15g of copper wire. The specific heat capacity of copper is 24.440 J/mol/K. How much time is required to increase the temperature from 25˚C to 69˚C?
    a. 34512 secs. b. 32891 secs c. 37541 secs d. 35296 secs.

Answer 12

Answer: d. 35296 secs

Question 13

Engineering Ethics: 13. A newly certified industrial engineer has applied for a promotion at a firm she has been working at for several years. During an interview for the new position, she is asked to contrast her qualifications with other registered engineers at the firm who have applied for the same position. She should
a. withdraw her application for the position.
b. give a full accounting of all the ways her ability and experience are superior to those of the other applicants.
c. demand to speak to the interviewer’s supervisor
d. decline to compare her qualifications but offer to describe them.

Answer 13

Answer: d. decline to compare her qualifications but offer to describe them.

Question 14

Engineers shall acknowledge their errors after consulting with their employers or clients.
a. True b. False

Answer 14

Answer: b. False

Question 15

accounting: 15. Assets which get exhausted to the extent of extraction are called:
a. Tangible asset b. Intangible asset c. Wasting asset d. Fictitious asset

Answer 15

Answer: c. Wasting Asset

Question 16

6. Loss leads to reduction in:
   a. Liability b. Capital c. Income d. Asset

Answer 16

Answer: b. Capital

Question 17

PART II – Production Systems Industrial Materials & Processes: 17. A heat treatment process that is used widely to restore ductility in cold worked materials or in castings. Material is heat soaked to a specific range of temperature for a period of time and allowed to cool slowly in a furnace or in still air.
a. Case Hardening
b. Precipitation Hardening
c. Annealing
d. Tempering

Answer 17

Answer: c. Annealing

Question 18

A type of polymers which can be raised temps above their glass transition temperature, Tg and cooled, softened, and hardened without modifying any of their original material properties while the effects of heating are irreversible.
a. Thermoplastics b. Thermosetting Polymers c. Elastomers d. Composites

Answer 18

Answer: a. Thermoplastics

Question 19

Methods Engineering:
What is the meaning of this therblig symbol -
a. Rest b. Plan c. Avoidable Delay d. Unavoidable Delay

Answer 19

Answer: d. Unavoidable Delay

Question 20

20. What is the abbreviation of the therblig name Search? a. S b. Se c. Sr d. Sh

Answer 20

Answer: d. Sh

Question 21

Work Measurement:
. A time study was performed on a particular machine, the results of which are as follows: Mean manual effort time per cycle: 12.36 minutes Mean cutting time (power feed): 7.79 minutes Mean performance rating: 90%
Machine allowance (power feed): 12% Fatigue allowance: 15% Compute the standard time for the operation given the allowances are added to their normal times.
a. 18.82 b. 19.35 c. 20.97 d. 21.52

Answer 21

Answer: d. 21.52

Question 22

2. A time study was conducted on a job that contains four elements. The observed times and performance ratings for six cycles are shown: Element Rating Observation Time (Minutes per Cycle) 1 2 3 4 5 6 1 90 2.36 3.11 6.45 2.12 2.79 7.35 2 110 5.25 2.25 1.89 2.45 6.10 2.12 3 120 9.78 8.90 9.31 15.45 10.10 8.75 4 85 4.45 3.90 4.07 3.85 4.23 4.97 5 115 3.57 8.24 4.01 3.56 4.12 9.27 Assuming an allowance factor of 11.0% based on an eight-hour shift, compute the standard time for the job given the allowance is added to the total time.
   a. 26.93 b. 27.48 c. 25.76 d. 28.11

Answer 22

Answer: a. 26.93

Question 23

Learning Curve:
. If a production team experiencing a 75% learning rate takes 10 hours to produce the 4th unit, how many hours would it be expected to take to produce the 12th unit?
a. 8.38 b. 7.51 c. 6.34 d. 5.92

Answer 23

Answer: c. 6.34

Question 24

24. New workers at Company ABC typically learn at a 82% rate. If a new worker requires 45 minutes to produce his first unit of output, how many units will he need to produce before his output rate exceeds 15 units per hour? a. 4693 b. 4695 c. 4396 d. 4593

Answer 24

Answer: a. 4693

Question 25

Ergonomics:
Given: A female worker performs physical labor that has an energy expenditure rate of 4.8 kcal/min for 35 minutes. During the rest breaks, his energy expenditure rate is estimated to be 0.95 kcal/min. Determine an appropriate length of a rest break. a. 8.3 minutes b. 10.5 minutes c. 9.2 minutes d. 11.4 minutes

Answer 25

Answer: c. 9.2 minutes

Question 26

Given: 33 year old man who weighs 75 kg. Determine the daily basal metabolism rate per minute. a. 1.26 kcal per min b. 1.22 kcal per min c. 1.24 kcal per min d. 1.20 kcal per min

Answer 26

Answer: b. 1.22 kcal per min

Question 27

Matthew Design Company has been asked to design the layout for a newly constructed office building of one of its clients. The closeness matrix showing the daily trips between its six department offices is given below. Department Trips between Departments 1 2 3 4 5 6 1 25 90 165 2 105 3 125 125 4 25 5 105 6 Design a layout on a 2x3 grid that will minimize nonadjacent load. What is the layout of your building?
a. 3 1 5 6 4 2
b. 2 5 3 4 1 6
c. 5 1 4 3 6 2
d. 1 6 2 3 5 4

Answer 27

Answer: b.

Question 27

Production Planning & Control
Given: What is the average completion time per job using FCFS sequencing rule?
a. 17.50 b. 18.60 c. 19.70 d. 20.80

Answer 27

Answer: b. 18.60

Question 28

The daily demand for Yatzee Koolers is averages 300 units with a standard deviation of 15 units. The lead time to delivery of an order for Koolers is a constant 3 days. What is the reorder point if a 3% chance of stockout would be tolerated? Z(0.03)=-1.89 a. 928 units b. 950 units c. 985 units d. 1,000 units

Answer 28

Answer: b. 950 units

Question 29

Based on the relationship chart below, what is its recommended layout?

a. 5 3 1 2 4 6 7 b. 1 3 4 2 5 6 7
c. 3 1 6 2 4 7 5
d. 1 3 6 2 4 5 7

Answer 29

Answer: d.

Question 30

Engineering Economy: 31. A piece of machinery has a first cost of $31,000 with a monthly operating cost of $10,000. If the company wants to recover its investment in five years at an interest rate of 1% per month, the monthly income must be closest to: a. $5,498 b. $6,386 c. $8,295 d. $10,688

Answer 30

Answer: d. $5,498

Question 31

firm borrows P2,000 for 6 years at 8%. At the end of 6 years, it renews the loan for the amount due plus P2,000 more for 2 years at 8%. What is the lump sum due? a. P5,679.67 b. P6,034.66 c. P6,789.98 d. P5,888.77

Answer 31

Answer: b. P6,034.66

Question 32

A graduate statistics course has seven male and three female students. The professor wants to select two students at random to help her conduct a research project. What is the probability that the two students chosen are female? a. 0.13 b. 0.11 c. 0.09 d. 0.07

Answer 32

Answer: d. 0.07

Question 33

In a large city, two newspapers are published, the Sun and the Post. The circulation departments report that 22% of the city’s households have a subscription to the Sun and 35% subscribe to the Post. A survey reveals that 6% of all households subscribe to both newspapers. What proportion of the city’s household subscribe to either newspaper? That is, what is the probability of selecting a household at random that subscribes to the Sun or the Post or both?
a. 0.51 b. 0.53 c. 0.55 d. 0.57

Answer 33

Answer: a. 0.51

Question 34

Industrial Quality Control:
Find the reliability of this system: a. 95.5% b. 96.6% c. 97.7% d. 98.8%

Answer 34

Answer: b. 96.6%

Question 35

Given the probabilities below, calculate the expected breakdown cost. Number of Breakdowns Daily Frequency 0 3 1 2 2 2 3 3 Assume a cost of $10 per breakdown. a. $10 b. $15 c. $20 d. $25

Answer 35

Answer: b. $15

Question 36

Operations Research: 37. The following Integer Program is to be solved: Min C= 8.5X + 16.2Y – 2.5Z such that X≥5, Y≥3 and Y-Z≥10. Which of the following is the optimal solution? X Y Z
a. 5 6 2
b. 8 10 0
c. 2 10 2
d. 5 10 0

Answer 36

Answer: d.

Question 37

38. What is the projected market share of Y after 2 years? a. 36.25% b. 32.5% c. 26.25% d. 22.5%

Answer 37

Answer: a. 36.25%

Question 38

Simulation: 39. Given the following demand for tires and frequency for 200 days, simulate for 10 days with the use of these random numbers: 52, 37, 82, 69, 98, 96, 33, 50, 88, & 90, and determine the average daily demand of tires. Demand for tires Frequency 0 10 1 20 2 40 3 60 4 40 5 30 a. 2.7 b. 2.9 b. 3.7 d. 3.9

Answer 38

Answer: d. 3.9

Question 39

40. Refer to problem 39, what is the expected demand for tires? a. 2.75 b. 2.95 c. 3.75 d. 3.95

Answer 39

Answer: b. 2.95