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Class 12th math notes
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Q10/10: A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other in stating the same fact?
Q9/10: Assertion (A): If P(A) = 1/2, P(B) = 0, then P(A|B) is not defined. Reason (R): P(A|B) = P(A ∩ B) / P(B) and division by zero is undefined.
Q8/10: Let X denote the number of heads obtained when two fair coins are tossed. Find the mean of X.
Q7/10: A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement, the probability of getting exactly one red ball is:
Q6/10: If A and B are two mutually exclusive events with P(B) > 0, then P(A|B) is:
Q5/10: A family has two children. What is the conditional probability that both are boys given that at least one of them is a boy?
Q4/10: Events A and B are independent. If P(A) = 0.3 and P(B) = 0.4, then P(A ∪ B) is:
Q3/10: If P(A) = 0.8, P(B) = 0.5 and P(B|A) = 0.4, find P(A ∩ B).
Q2/10: Maximize Z = x + y subject to x - y <= -1, -x + y <= 0, x, y >= 0.
Q1/10: Z = 2x + 3y subject to x + y <= 1, 3x + y >= 4, x, y >= 0. The minimum value of Z is:
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Next quiz today at 19:00 (in 23h 51m)
Q10/10: In an LPP, if the objective function has the same maximum value on two corner points of the feasible region, then the number of points at which Z is maximum is:
Q9/10: The minimum value of Z = 3x + 5y subject to x + 3y >= 3, x + y >= 2, x, y >= 0 is:
Q8/10: Any point in the feasible region that gives the optimal value of the objective function is called:
Q7/10: Assertion (A): Z = 3x + 4y subject to x + y <= 4, x, y >= 0 has a max value of 16. Reason (R): The max value of Z occurs at the corner point (0, 4).
Q6/10: The corner points of the feasible region determined by linear constraints are (0,0), (0,40), (20,40), (60,20), (60,0). The max value of Z = 4x + 3y is:
Q5/10: If the feasible region for an LPP is unbounded, then the maximum or minimum value of the objective function Z = ax + by:
Q4/10: The region satisfying all the constraints, including non-negativity restrictions, in an LPP is called:
