Q1) Which quality management tool is used to identify the root cause of a problem?

A) Pareto Chart

B) Ishikawa (Fishbone) Diagram

C) Control Chart

D) Flowchart

Q2) Which of the following is not a primary objective of operations management? a) Cost reduction b) Quality improvement c) Market expansion d) Efficiency enhancement

Q3) In the context of supply chain management, which inventory strategy aims to maintain a safety stock to meet unexpected demand fluctuations? a) Just-in-time (JIT) b) Economic Order Quantity (EOQ) c) Reorder Point (ROP) d) Lean manufacturing

Q4) Which of the following is a key performance indicator (KPI) commonly used to measure manufacturing efficiency? a) Customer satisfaction b) Return on investment (ROI) c) Overall equipment effectiveness (OEE) d) Employee turnover rate

Q5) Lean production principles emphasize the elimination of: a) Product variety b) Customer demand c) Waste (Muda) d) Inventory turnover

Q6) What is the primary purpose of a Gantt chart in project management? a) Resource allocation b) Risk analysis c) Time scheduling d) Cost estimation

Q7) Which quality management technique focuses on improving processes by using statistical methods to reduce variation? a) Six Sigma b) Total Quality Management (TQM) c) Kaizen d) Just-in-time (JIT)

Q8) Which type of layout arranges workstations and machines in a sequence to produce a specific product? a) Process layout b) Cellular layout c) Product layout d) Functional layout

Q9) When using the ABC analysis method for inventory management, which category typically includes high-value items with the highest priority for control? a) A items b) B items c) C items d) D items

Q10) Which production scheduling method aims to balance production lines and optimize resource utilization? a) First-Come-First-Served (FCFS) b) Shortest Job First (SJF) c) Theory of Constraints (TOC) d) Critical Path Method (CPM)

Q11) Which of the following is the correct formula for calculating the volume of a sphere? A) V = r B) V = 4/3r C) V = 2rh D) V = 1/2r

Q12) In calculus, which of the following is the derivative of the function f(x) = e^x? A) f'(x) = ln(x) B) f'(x) = x C) f'(x) = e^x D) f'(x) = 1

Q13) When solving a quadratic equation of the form ax + bx + c = 0, which formula should be used to find the roots? A) Discriminant formula: x = (-b (b - 4ac)) / (2a) B) Vertex formula: x = -b / (2a) C) Factoring D) Completing the square

Q14) Which trigonometric function represents the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle? A) Sine (sin) B) Cosine (cos) C) Tangent (tan) D) Secant (sec)

Q15) In linear algebra, which matrix operation results in a scalar (single value) rather than a matrix? A) Matrix addition B) Matrix multiplication C) Determinant D) Inverse

Q16) Which theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides? A) Pythagorean theorem B) Law of Sines C) Law of Cosines D) Heron's Formula

Q17) Which branch of mathematics focuses on the study of sets and their properties, including operations like union and intersection? A) Calculus B) Number theory C) Set theory D) Topology

Q18) Which of the following is NOT a type of conic section? A) Parabola B) Hyperbola C) Ellipse D) Spiral

Q19) Which mathematical constant is approximately equal to 3.14159 and represents the ratio of a circle's circumference to its diameter? A) e B) (pi) C) 2 (square root of 2) D) (phi)

Q20) Which famous conjecture, named after a 19th-century mathematician, deals with the distribution of prime numbers and remains unsolved to this day? A) Goldbach's conjecture B) Poincar conjecture C) Fermat's Last Theorem D) Riemann hypothesis

21 Which statistical test is most appropriate for comparing the means of three or more independent groups: a) t-test, b) ANOVA, c) chi-squared test, or d) Mann-Whitney U test?

22 In a binomial distribution, if the probability of success (p) decreases while the number of trials (n) remains constant, what happens to the shape of the distribution? a) It becomes more skewed, b) It becomes more symmetric, c) It remains unchanged, or d) It becomes normal.

23 When performing a hypothesis test, if you decrease the significance level (alpha) from 0.05 to 0.01, what is the impact on the likelihood of making a Type I error? a) Increases, b) Decreases, c) Stays the same, or d) Depends on the sample size.

24 What is the central limit theorem (CLT) primarily concerned with: a) Describing the shape of a population distribution, b) Explaining the relationship between sample size and standard deviation, c) Explaining how the sample mean approaches the population mean as sample size increases, or d) Describing the distribution of discrete data?

25 In a multiple regression analysis, what does the coefficient of determination (R-squared) measure? a) The strength of the relationship between independent and dependent variables, b) The proportion of the variation in the dependent variable explained by the independent variables, c) The standard error of the regression coefficients, or d) The p-value of the independent variables.

26 When using a 95% confidence interval to estimate a population parameter, how does increasing the sample size affect the width of the interval? a) It widens, b) It narrows, c) It remains the same, or d) It depends on the population size.

27 Which of the following probability distributions is discrete: a) Normal distribution, b) Poisson distribution, c) Exponential distribution, or d) Chi-squared distribution?

28 If you have a dataset with outliers, which measure of central tendency is most robust and less affected by extreme values: a) Mean, b) Median, c) Mode, or d) Variance?

29 In Bayesian statistics, what is the prior probability distribution, and how does it influence the posterior probability distribution: a) It represents prior knowledge and has no influence, b) It represents prior beliefs and has a strong influence, c) It represents the data and is not relevant, or d) It represents the future outcomes.

30 When conducting a hypothesis test for the difference between two population proportions, what test statistic is typically used: a) Z-test, b) T-test, c) Chi-squared test, or d) F-test?