EGR 1400 Exam 1 Actual Exam 2026/2027 –
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[SECTION 1: Engineering Problem Solving Methodology - Questions 1-10]
Q1: An engineer is designing a support beam for a bridge. Which step should occur FIRST in the
problem-solving process?
A. Select materials for the beam
B. Calculate the required beam dimensions
C. Clearly define the problem, constraints, and criteria for success
D. Build and test a prototype beam
Correct Answer: C
Rationale: Engineering problem-solving begins with problem definition, including identifying
what needs to be accomplished, establishing constraints (budget, materials, safety factors), and
defining measurable success criteria. Premature calculations or material selection without proper
problem definition leads to solutions that may not address the actual need. Prototyping occurs
much later after analysis and design are complete.
Q2: A design specifies that a component must withstand 10,000 cycles of loading without failure.
This requirement represents a:
A. Constraint
B. Criterion for success
C. Assumption
D. Variable
Correct Answer: B
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Rationale: A criterion for success is a measurable standard that defines whether the design meets
requirements. The 10,000-cycle specification provides a quantifiable target for fatigue life
validation. Constraints are limiting factors (budget, weight, size), while assumptions are
unverified but accepted conditions. Variables are quantities that can change within the design
space.
Q3: When a calculated result has unexpected magnitude, the engineer should:
A. Assume the calculation is correct and proceed
B. Adjust the result to match expected values
C. Recheck calculations, verify input data, and assess reasonableness using engineering
judgment
D. Discard the result without analysis
Correct Answer: C
Rationale: Engineering best practice requires verifying calculations when results seem
unexpected, checking for unit conversion errors, data entry mistakes, or formula misapplication.
Engineering judgment using order-of-magnitude estimation helps identify potential errors.
Adjusting results without verification introduces unknown errors; discarding results loses
potentially valuable information about what went wrong.
Q4: A team of engineers generates 20 possible solutions to a design problem, then narrows to 3
for detailed analysis. This process is called:
A. Reverse engineering
B. Concurrent engineering
C. Design selection and concept screening
D. Quality control
Correct Answer: C
Rationale: Concept screening (or selection) evaluates multiple design concepts against weighted
criteria to identify promising candidates for further development. This systematic narrowing
prevents premature commitment to suboptimal designs while avoiding endless analysis of every
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possibility. Reverse engineering studies existing products, concurrent engineering overlaps
design phases, and quality control focuses on manufacturing.
Q5: An engineer tests a prototype and finds it fails at 80% of the design load. The most
appropriate next step is:
A. Release the product anyway, assuming customers won't reach that load
B. Analyze failure mode, redesign the weak component, and retest
C. Increase the marketing claims to justify the higher failure rate
D. Reduce the safety factor to change the calculation
Correct Answer: B
Rationale: Engineering design is iterative: prototypes reveal weaknesses that guide redesign and
improvement. Failure analysis identifies which component failed and why, enabling targeted
redesign. Releasing underperforming products or altering calculations retroactively violates
engineering ethics and safety obligations. Testing exists to find and fix problems before customer
use.
Q6: An engineer is tasked with estimating the number of tennis balls that can fit into a standard
classroom. Which approach is most effective for this estimation problem?
A. Finding an exact count by physically filling a room
B. Calculating the volume of the room and dividing by the volume of a single ball, applying a
packing factor
C. Guessing a random large number based on intuition
D. Measuring the diameter of one ball and multiplying by the room's perimeter
Correct Answer: B
Rationale: Estimation problems (Fermi problems) rely on breaking down complex large-scale
questions into manageable geometric calculations. By dividing the total available volume by the
volume of a single object and accounting for packing efficiency (void space), a reasonable order-
of-magnitude estimate can be derived quickly without physical measurement. This method is
standard in engineering for feasibility studies when precise data is unavailable.
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Q7: During a brainstorming session, a team member suggests an idea that seems impractical.
According to brainstorming rules, the team should:
A. Immediately critique the idea to save time
B. Record the idea without judgment and encourage further modification
C. Ignore the idea to focus on realistic solutions
D. Vote to remove the member from the session
Correct Answer: B
Rationale: Effective brainstorming requires suspending judgment to encourage creativity and the
free flow of ideas. Recording even seemingly impractical ideas can spark new concepts or be
combined with others to create viable solutions. Criticism during the generation phase stifles
creativity and prevents the exploration of innovative design possibilities.
Q8: Which of the following is a primary distinction between a "Constraint" and a "Criterion" in
engineering design?
A. Constraints are measurable goals, while criteria are optional features
B. Criteria are quantitative limits, while constraints are qualitative goals
C. Constraints limit the design space, while criteria are used to evaluate and compare designs
D. Constraints are determined by the customer, while criteria are determined by the manufacturer
only
Correct Answer: C
Rationale: Constraints are absolute limits that a design must satisfy (e.g., must cost less than
$100, must fit in a 10cm box). Criteria are performance attributes used to judge how good a
design is (e.g., minimize weight, maximize efficiency). Understanding this difference ensures
that designs remain feasible while optimizing for the best possible performance.
Q9: An engineer discovers that a supplier's material data sheet lists different strength values than
their own internal tests. The most ethical course of action is to: