Certified Engineering Technician (CET) Practice Exam
Question 1: In arithmetic operations, what is the result of 15 + 27?
A) 42
B) 32
C) 52
D) 37
Answer: A) 42
Explanation: Adding 15 and 27 yields 42.
Question 2: Which property of addition is illustrated by 5 + 8 = 8 + 5?
A) Associative Property
B) Commutative Property
C) Distributive Property
D) Identity Property
Answer: B) Commutative Property
Explanation: Changing the order of the numbers does not affect the sum.
Question 3: Solve the equation: 3x – 9 = 0. What is x?
A) –3
B) 0
C) 3
D) 9
Answer: C) 3
Explanation: Adding 9 to both sides and dividing by 3 gives x = 3.
Question 4: Which expression correctly represents the solution of 2(x + 4) = 18?
A) x = 7
B) x = 5
C) x = 8
D) x = 6
Answer: D) x = 5
Explanation: Dividing 18 by 2 gives x + 4 = 9, so x = 5.
Question 5: Convert 5 kilometers to meters.
A) 500 m
B) 5,000 m
C) 50,000 m
D) 500,000 m
Answer: B) 5,000 m
Explanation: There are 1,000 meters in a kilometer; thus, 5 km = 5 × 1,000 = 5,000 m.
,Question 6: When converting 120 minutes to hours, what is the correct result?
A) 0.5 hours
B) 1 hour
C) 2 hours
D) 2.5 hours
Answer: C) 2 hours
Explanation: Dividing 120 minutes by 60 minutes per hour equals 2 hours.
Question 7: Which derivative represents the slope of a curve at a given point?
A) Integral
B) Limit
C) Differential
D) Factorial
Answer: C) Differential
Explanation: The derivative gives the instantaneous rate of change (slope) of a function.
Question 8: In calculus, what does the integral of a function represent?
A) The rate of change
B) The area under the curve
C) The function’s maximum value
D) The function’s derivative
Answer: B) The area under the curve
Explanation: Integration sums up an infinite number of infinitesimal areas under a curve.
Question 9: In trigonometry, what is the value of sin 90°?
A) 0
B) 0.5
C) 1
D) Undefined
Answer: C) 1
Explanation: The sine of 90° is defined as 1.
Question 10: Which formula is used to calculate the area of a triangle?
A) (base × height)/2
B) base × height
C) (base + height)/2
D) base² + height²
Answer: A) (base × height)/2
Explanation: The area of a triangle is one half the product of its base and height.
Question 11: In probability, what is the chance of getting heads in a fair coin toss?
A) 25%
B) 33%
C) 50%
D) 100%
,Answer: C) 50%
Explanation: A fair coin has two equally likely outcomes, making the probability of heads 50%.
Question 12: Which statistical measure represents the central value of a dataset?
A) Range
B) Mean
C) Standard Deviation
D) Variance
Answer: B) Mean
Explanation: The mean is the average and is considered a central measure of a data set.
Question 13: What is the purpose of numerical methods in engineering?
A) To provide exact solutions
B) To solve equations analytically
C) To approximate solutions when exact ones are not feasible
D) To generate random numbers
Answer: C) To approximate solutions when exact ones are not feasible
Explanation: Numerical methods are used to obtain approximate answers for complex
engineering problems.
Question 14: In statics, which condition must be met for an object to be in equilibrium?
A) Sum of forces equals zero
B) Sum of forces is maximum
C) Sum of moments equals one
D) Sum of forces equals acceleration
Answer: A) Sum of forces equals zero
Explanation: For an object to be in static equilibrium, the net force (and net moment) must be
zero.
Question 15: What does the term “moment” refer to in mechanics?
A) Force multiplied by time
B) Force multiplied by distance
C) Force divided by distance
D) Force added to distance
Answer: B) Force multiplied by distance
Explanation: A moment is defined as the product of a force and its distance from a pivot point.
Question 16: Which branch of mechanics deals with the motion of objects without
considering the forces causing them?
A) Statics
B) Kinetics
C) Kinematics
D) Dynamics
Answer: C) Kinematics
Explanation: Kinematics focuses on describing motion without analyzing the forces involved.
, Question 17: What principle is used to determine the work done by a force acting through
a displacement?
A) Work = Force × Time
B) Work = Force × Displacement
C) Work = Force + Displacement
D) Work = Force / Displacement
Answer: B) Work = Force × Displacement
Explanation: Work is the product of the force applied and the displacement in the direction of the
force.
Question 18: Which law of thermodynamics states that energy cannot be created or
destroyed?
A) Zeroth Law
B) First Law
C) Second Law
D) Third Law
Answer: B) First Law
Explanation: The First Law of Thermodynamics is the law of conservation of energy.
Question 19: What is the main focus of fluid mechanics?
A) The behavior of gases only
B) The study of solids in motion
C) The properties and behavior of fluids
D) The properties of electromagnetic fields
Answer: C) The properties and behavior of fluids
Explanation: Fluid mechanics deals with the study of liquids and gases and their interactions.
Question 20: Which mode of heat transfer involves the movement of fluids?
A) Conduction
B) Convection
C) Radiation
D) Reflection
Answer: B) Convection
Explanation: Convection is the transfer of heat by the physical movement of fluid.
Question 21: What property of materials describes their ability to return to original shape
after deformation?
A) Ductility
B) Brittleness
C) Elasticity
D) Hardness
Answer: C) Elasticity
Explanation: Elasticity is the ability of a material to recover its original shape after the load is
removed.
Question 1: In arithmetic operations, what is the result of 15 + 27?
A) 42
B) 32
C) 52
D) 37
Answer: A) 42
Explanation: Adding 15 and 27 yields 42.
Question 2: Which property of addition is illustrated by 5 + 8 = 8 + 5?
A) Associative Property
B) Commutative Property
C) Distributive Property
D) Identity Property
Answer: B) Commutative Property
Explanation: Changing the order of the numbers does not affect the sum.
Question 3: Solve the equation: 3x – 9 = 0. What is x?
A) –3
B) 0
C) 3
D) 9
Answer: C) 3
Explanation: Adding 9 to both sides and dividing by 3 gives x = 3.
Question 4: Which expression correctly represents the solution of 2(x + 4) = 18?
A) x = 7
B) x = 5
C) x = 8
D) x = 6
Answer: D) x = 5
Explanation: Dividing 18 by 2 gives x + 4 = 9, so x = 5.
Question 5: Convert 5 kilometers to meters.
A) 500 m
B) 5,000 m
C) 50,000 m
D) 500,000 m
Answer: B) 5,000 m
Explanation: There are 1,000 meters in a kilometer; thus, 5 km = 5 × 1,000 = 5,000 m.
,Question 6: When converting 120 minutes to hours, what is the correct result?
A) 0.5 hours
B) 1 hour
C) 2 hours
D) 2.5 hours
Answer: C) 2 hours
Explanation: Dividing 120 minutes by 60 minutes per hour equals 2 hours.
Question 7: Which derivative represents the slope of a curve at a given point?
A) Integral
B) Limit
C) Differential
D) Factorial
Answer: C) Differential
Explanation: The derivative gives the instantaneous rate of change (slope) of a function.
Question 8: In calculus, what does the integral of a function represent?
A) The rate of change
B) The area under the curve
C) The function’s maximum value
D) The function’s derivative
Answer: B) The area under the curve
Explanation: Integration sums up an infinite number of infinitesimal areas under a curve.
Question 9: In trigonometry, what is the value of sin 90°?
A) 0
B) 0.5
C) 1
D) Undefined
Answer: C) 1
Explanation: The sine of 90° is defined as 1.
Question 10: Which formula is used to calculate the area of a triangle?
A) (base × height)/2
B) base × height
C) (base + height)/2
D) base² + height²
Answer: A) (base × height)/2
Explanation: The area of a triangle is one half the product of its base and height.
Question 11: In probability, what is the chance of getting heads in a fair coin toss?
A) 25%
B) 33%
C) 50%
D) 100%
,Answer: C) 50%
Explanation: A fair coin has two equally likely outcomes, making the probability of heads 50%.
Question 12: Which statistical measure represents the central value of a dataset?
A) Range
B) Mean
C) Standard Deviation
D) Variance
Answer: B) Mean
Explanation: The mean is the average and is considered a central measure of a data set.
Question 13: What is the purpose of numerical methods in engineering?
A) To provide exact solutions
B) To solve equations analytically
C) To approximate solutions when exact ones are not feasible
D) To generate random numbers
Answer: C) To approximate solutions when exact ones are not feasible
Explanation: Numerical methods are used to obtain approximate answers for complex
engineering problems.
Question 14: In statics, which condition must be met for an object to be in equilibrium?
A) Sum of forces equals zero
B) Sum of forces is maximum
C) Sum of moments equals one
D) Sum of forces equals acceleration
Answer: A) Sum of forces equals zero
Explanation: For an object to be in static equilibrium, the net force (and net moment) must be
zero.
Question 15: What does the term “moment” refer to in mechanics?
A) Force multiplied by time
B) Force multiplied by distance
C) Force divided by distance
D) Force added to distance
Answer: B) Force multiplied by distance
Explanation: A moment is defined as the product of a force and its distance from a pivot point.
Question 16: Which branch of mechanics deals with the motion of objects without
considering the forces causing them?
A) Statics
B) Kinetics
C) Kinematics
D) Dynamics
Answer: C) Kinematics
Explanation: Kinematics focuses on describing motion without analyzing the forces involved.
, Question 17: What principle is used to determine the work done by a force acting through
a displacement?
A) Work = Force × Time
B) Work = Force × Displacement
C) Work = Force + Displacement
D) Work = Force / Displacement
Answer: B) Work = Force × Displacement
Explanation: Work is the product of the force applied and the displacement in the direction of the
force.
Question 18: Which law of thermodynamics states that energy cannot be created or
destroyed?
A) Zeroth Law
B) First Law
C) Second Law
D) Third Law
Answer: B) First Law
Explanation: The First Law of Thermodynamics is the law of conservation of energy.
Question 19: What is the main focus of fluid mechanics?
A) The behavior of gases only
B) The study of solids in motion
C) The properties and behavior of fluids
D) The properties of electromagnetic fields
Answer: C) The properties and behavior of fluids
Explanation: Fluid mechanics deals with the study of liquids and gases and their interactions.
Question 20: Which mode of heat transfer involves the movement of fluids?
A) Conduction
B) Convection
C) Radiation
D) Reflection
Answer: B) Convection
Explanation: Convection is the transfer of heat by the physical movement of fluid.
Question 21: What property of materials describes their ability to return to original shape
after deformation?
A) Ductility
B) Brittleness
C) Elasticity
D) Hardness
Answer: C) Elasticity
Explanation: Elasticity is the ability of a material to recover its original shape after the load is
removed.
