Q1) Which inventory management technique is characterized by setting up two "bins" for each itemone for use and one as a backup that is used to reorder stock?

A) ABC Analysis B) Just-in-Time Inventory C) Two-bin System D) Economic Order Quantity

Q2) Calculus Challenge: Find the derivative of the function f(x) = 3x^4 - 2x^3 + 5x^2 - 7x + 9.

Number Theory Puzzle: Determine the number of positive integer solutions to the equation 2x + 3y = 100.

Geometry Stumper: In triangle ABC, angle A measures 50 degrees, and angle B measures 70 degrees. Find the measure of angle C.

Probability Challenge: You have a deck of 52 cards. What is the probability of drawing two aces (without replacement) in two consecutive draws?

Algebraic Riddle: Solve for x and y in the system of equations: 2x + 3y = 11 5x - 2y = 7

Q3) Calculus: Find the derivative of the function f(x) = ln(x^2 + 3x + 1).

Linear Algebra: Given the matrices A = [1 2 3; 4 5 6; 7 8 9] and B = [9 8 7; 6 5 4; 3 2 1], calculate the product AB.

Number Theory: Find the largest prime factor of 1234567890.

Geometry: In triangle ABC, angle A measures 50 degrees, and side AC is 12 cm long. If side BC is 8 cm long, find the length of side AB using the Law of Sines.

Probability: A standard deck of playing cards is shuffled thoroughly. What is the probability of drawing two consecutive cards of the same suit from the deck (e.g., two consecutive hearts)?