(A) Mutually exclusive: P(A∪B)=P(A)+P(B) (IV).
(B) Independent: P(A∩B)=P(A)⋅P(B) (III).
(C) P(A/B)=P(B)P(A∩B) (I).
(D) P(B/A)=P(A)P(A∩B) (II).
Let f:R→R be defined such that f(x)=16x2−16x+12
(A) Maximum value of f(x) is 8
(B) Minimum value of f(x) is 8
(C) Minimum value of f(x) is 16
(D) No maximum value of f(x)
Choose the correct answer from the options given below :
Held on 30 May 2023 · Verified 13 Jul 2026.
(A), (C) Only
(B), (D) Only
(A), (B), (C) Only
(A), (B) Only
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If the total cost and total revenue of a company that produces and sells $x$ units of a particular product are $C(x) = 5x + 350$ and $R(x) = 50x - x^2$ respectively, then which of the following is/are the breakeven values: (A) $x = 10$ (B) $x = 25$ (C) $x = 45$ (D) $x = 30$ Choose the correct answer from the options given below:
The supply function of a commodity is P = $x^3+2x+18$. When 4 units of commodity are sold , then producer surplus is:
The demand function P for maximising a profit monopolist is given by P=274-x², while the marginal cost is 4+3x for x units of commodity. The consumer surplus is
If $y = e^{\frac{1}{2}\log(1+ \tan^2 x)}$, then $\frac{d^2y}{dx^2}$ is equal to:
If the random variable X follows the Poisson distribution such that P[X = k] = P[X = k+1], then the mean value of X is:
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