JEE Advanced Linear Programming — practice questions
81 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Advanced Linear Programming in the app →A fair coin is tossed twice. How many outcomes are there in the sample space?A fair six-sided die is rolled once. What is the probability of getting an even number?Two fair dice are rolled simultaneously. What is the probability that the sum of the numbers on the two dice iA card is drawn at random from a standard $52$-card deck. What is the probability that the card is either a ki$ in(180° - \theta)$ equals:$ in^2\theta + \cos^2\theta$ equals:$ in(A + B) = $$\cos 2\theta$ equals:If $ in\theta + \cos\theta = 1$, then $ in\theta \cdot \cos\theta$ equals:$\cos 3\theta$ equals:sin(0°) equals:cos(90°) equals:sin²θ + cos²θ equals:tan(45°) equals:In which quadrant is sin θ positive and cos θ negative?sec θ is defined as:sin(A + B) equals:cos(A + B) equals:sin(60°) cos(30°) + cos(60°) sin(30°) equals:If sin θ = 3/5 (θ in Q1), find cos θ:Find cos(75°) using cos(A + B):sin(2θ) equals:cos(2θ) equals:Find sin(15°):If tan θ = 1/2 (acute), find sin 2θ:For 0 ≤ θ < 2π, solutions of sin θ = 1/2:1 - cos²θ equals:sin(A) + sin(B) equals (sum-to-product):In a right triangle, if hypotenuse = 13 and one leg = 5, sin θ for angle θ opposite to that leg:tan(A + B) equals:sin(180° - θ) equals:In triangle ABC with sides a, b, c opposite to angles A, B, C: sine rule states:If sin θ + cos θ = 1, then sin θ × cos θ equals:General solution of cos θ = 0:If tan θ + cot θ = 2, find sin 2θ:If sin θ = 12/13 (acute θ in Q1), find tan(θ/2):Minimum value of sin²θ + cos⁴θ:If sin θ = 12/13 (acute), find tan(θ/2):In triangle with sides 7, 8, 9, find cos of the angle opposite to side 9 (use cosine rule):General solution of sin θ = sin α:The arithmetic mean of n values x1, x2, ..., xn is:Median of an odd-length sorted data set is:Probability of a certain event:Probability of rolling a 6 on a fair die:For independent events A and B, P(A and B) equals:In the figure, the side $a$ is resolved into projections of the other two sides on the base. Which projection The probability of getting an even number on a single throw of a die is:The probability of drawing a king from a standard pack of 52 cards is:When two dice are thrown, the probability that the sum of the numbers is 7 is:The probability of getting at least one head when a coin is tossed twice is:If $P(A)=0.3$, $P(B)=0.4$ and A, B are mutually exclusive, then $P(A\cup B)$ is:The probability of getting a number greater than 4 on a single throw of a die is:In a linear programming problem, the linear function $Z = ax + by$ to be optimised is called the:The common region determined by all the constraints of an LPP is called the:By the corner point theorem, the optimal value of the objective function of an LPP occurs at:The conditions $x \ge 0,\ y \ge 0$ in an LPP are called the:A feasible region that extends indefinitely in some direction is said to be:If the feasible region of an LPP is bounded, then the objective function $Z$ has:Maximise $Z = 3x + 2y$ over the corner points $(0,0),\ (4,0),\ (0,5),\ (2,3)$. The maximum value is:Minimise $Z = x + y$ over the corner points $(5,0),\ (0,4),\ (1,1)$. The minimum value is:In an LPP, the decision variables are required to be:The graph of a linear inequality such as $2x + 3y \le 12$ represents:The corner points of a feasible region are obtained as the:If the feasible region of an LPP is empty, then the problem has:The word 'linear' in linear programming indicates that the objective function and constraints are:One radian is approximately equal to:The identity $1 + \tan^2\theta$ equals:The period of the function $ in x$ is:The radian measure of $45^\circ$ is:$ in(90^\circ - \theta)$ equals:The value of $ in\dfrac{\pi}{6}$ is:The expansion of $ in(A+B)$ is:The maximum value of $3 in\theta$ is:The value of $\cos 180^\circ$ is:The general solution of $\cos x = 1/2$ is:In a linear programming problem, the objective function is:By the corner-point theorem, the optimum of a bounded LPP occurs:The non-negativity constraints in an LPP typically include:A linear program has an unbounded feasible region. The maximisation of the objective function:The angle 90° in radians is:The function f(x) = tan x has vertical asymptotes at: