My Engineering IQ Test — 16-Question Engineering Quiz

Each question has four alternatives and one correct answer. Award $b_i=1$ for a correct selection and $b_i=0$ otherwise. The test score is $S=\sum_{i=1}^{16}b_i$, the percentage is $100S/16$, and each category score is the sum of its four question points. Unanswered questions count toward progress only; a complete submission is required before results are shown. There is no time weighting, penalty or IQ conversion.

Electrical (Q1–4). Use $R=V/I$, $R_s=\sum R_i$, $1/R_p=\sum 1/R_i$, and $P=V^2/R$. Q1 reproduces the numerical operating point in OpenStax College Physics 2e §20.2, Example 20.4. Q2 uses the independent worked example in OpenStax Physics §19.2.

Mechanical (Q5–8). Use $a=F_{net}/m$, $T=rF\sin\theta$ with $\theta=90^\circ$, $\sigma=F/A$, and $\epsilon=\Delta L/L$. Convert length units before dividing. These follow OpenStax University Physics Volume 1 §§5.3, 10.6 and 12.3.

Control (Q9–12). The zero-initial-condition first-order step response is $y(t)/y_\infty=1-e^{-t/\tau}$ (Cooper, Lab 6, equations 5–6). For unity negative feedback, $y=KG(r-y)$ gives $T=KG/(1+KG)$; the gains 5 and 10 and the published 50/51 result come from MIT Lecture 2, attached PDF page 3. The first-fold alias is $|f_s-f_{in}|$ for the stated 800 kHz input and 1000 kS/s sampling; NI publishes the 200 kHz result. More generally, fold $|f_{in}-nf_s|$ into $[0,f_s/2]$. Q12 is derived here from the natural mode $e^{st}$: it decays exactly when $\Re(s)<0$.

Maths (Q13–16). Apply $d(x^n)/dx=nx^{n-1}$, $\int_0^b x\,dx=b^2/2$, the Euclidean norm $\sqrt{x^2+y^2}$, and independence $P(A\cap B)=P(A)P(B)$. The triangle and vector identities are derived here; the power, integral and probability methods follow the linked OpenStax sections.

The answer-review tables give the correct formula for every question after submission. The solution selector explains each of the four alternatives. Numerical reference checks test published physics examples; score bounds and full/zero/mixed-key properties test this authored scoring rule. They do not validate a psychometric instrument.

All question text, explanations and drawings are authored for this tool. The source worked-example numbers are used as factual reference cases; no source figures or question wording are copied.

Circuit sources and wires are ideal, and resistances are constant where stated. Mechanical loads use constant mass, a perpendicular lever, centered axial loading and engineering strain referenced to original length. Stress is an average over the given section.

The first-order response starts at zero and has positive final output and time constant. The feedback example has static positive dimensionless gains and unity negative feedback. The sampling question uses ideal uniform sampling without an input filter; an actual acquisition system needs an appropriate anti-alias filter. Stability refers to continuous-time natural modes. Reliability events are independent over the same interval.

Each category has exactly four questions, each worth one point. The answer key, question order and option order are fixed. Choices use the printed SI units. Supported calculation quantities convert with the metric/US display switch; text in questions and worked solutions retains its stated units.

This is a 16-item educational knowledge quiz for informal learning and sharing. It has no standardized population, psychometric calibration, validated difficulty scale, percentile, professional credential or IQ conversion. Four questions cannot establish mastery of a discipline. Do not use the score for hiring, admissions or safety decisions.

Submit all sixteen choices to reveal results. A changed choice updates the result while the switch is on; turn it off and Reset for a fresh attempt. Opening How it's calculated exposes the method and answers, so keep it closed during a first attempt.

The formulas apply only to the idealized assumptions in each question. The alias expression shown is specific to this first-fold case, and the stress calculation excludes bending and stress concentrations. The tool does not assess real equipment, installation compliance or design safety.